Reasoning PDF Library
Your one-stop destination for free, high-quality reasoning worksheets. Download topic-wise practice PDFs with answer keys and detailed solutions.
11280+ Worksheets
Updated April 21, 2026
Free Download
Answer Keys Included
11280+
Free PDF Resources
20 Questions + Solutions per worksheet
About This Library
Welcome to the ReasoningAbility.com PDF Library - the largest free collection of reasoning worksheets available online. Whether you're preparing for SSC CGL, Banking PO, Railways RRB, UPSC CSAT, CAT, or any other competitive exam, our topic-wise worksheets are designed to help you master every reasoning concept.
Each worksheet contains 20 carefully crafted questions with varying difficulty levels, followed by a complete answer key and detailed solutions explaining the step-by-step approach. Start with Worksheet 1 for beginners and progress through advanced levels as your skills improve.
Topic-wise organization
Progressive difficulty
Updated regularly
Browse by Category
Verbal Reasoning
Age Problems
Age And Other Topics
10 worksheets
Age And Work Integrative
10 worksheets
Age Arithmetic Progression
10 worksheets
Age Case Study
10 worksheets
Age Data Interpretation
10 worksheets
Age Inequality Problems
10 worksheets
Age Percentage
10 worksheets
Age Probability
10 worksheets
Age Ratio
10 worksheets
Assertion Or Reason Sufficiency
10 worksheets
Chronological Chain Reasoning
10 worksheets
Complex Ratio Chain
10 worksheets
Equation System Olympiad
10 worksheets
Family Average
10 worksheets
Find Number Of Family Members
10 worksheets
Future Age Ratio
10 worksheets
Geometric Age Product
10 worksheets
Group Size Deduction
10 worksheets
Illogical Option Mcq
10 worksheets
Illogical Option MCQ problems present multiple-choice questions where some options can be eliminated immediately because they are biologically or mathematically impossible (e.g., negative age, parent too young, child older than parent).
Impossible Or Contradictory Data
10 worksheets
Logic Grid Or Chain Deduction
10 worksheets
Min Or Max Age Constraints
10 worksheets
Multi Generation Tree
10 worksheets
Multi Stage Age Phased
10 worksheets
Multi-Stage Age Phased problems involve conditions at multiple points in time (e.g., '3 years ago, A was twice B; after 5 years, A will be 1.5 times B'). These problems require setting up multiple equations from different time points.
Olympiad Expression Pattern
10 worksheets
Parent Child Multiple
10 worksheets
Parent-Child Multiple problems involve age relationships between a parent and child, often stating that at some point in time, the parent's age is a multiple of the child's age. These classic problems test constant age difference and changing multiples over time.
Present Or Past Or Future
10 worksheets
Reverse Age Trick
10 worksheets
Simple Difference
10 worksheets
Alphabet Test
Alphabet Pairing And Distance
10 worksheets
Alphabet Pairing and Distance problems involve two concepts: pairing letters from opposite ends of the alphabet (A with Z, B with Y, etc.) and calculating the distance (number of letters) between two given letters. These problems test your understanding of symmetrical relationships and interval coun...
Alphanumeric Mix
10 worksheets
Alphanumeric Mix problems involve both letters and numbers in coding schemes. Letters are often converted to their position numbers, and then arithmetic operations are performed. These problems test your ability to work with mixed data types and coding patterns.
Alternating Series
10 worksheets
Alternating Series problems involve sequences where two different patterns alternate positions. For example, odd positions might follow one arithmetic progression while even positions follow another. These problems test your ability to identify and separate multiple interleaved patterns.
Arithmetic Series
10 worksheets
Arithmetic Series in Alphabet Test involve sequences of letters where each successive letter is obtained by adding a fixed number (step) to the position of the previous letter. These problems test your ability to recognize and extend constant-difference patterns in the alphabet.
Chain Moves
10 worksheets
Chain Moves problems involve starting from a given letter and applying a sequence of moves (each move is 'n steps left/right'). After all moves, you must determine the final letter. These problems test your ability to track cumulative position changes.
Conditional Assertion
10 worksheets
Conditional Assertion problems apply transformation rules that are conditional on properties of letters (vowel/consonant, position, etc.). For example, 'if vowel, replace with next letter; if consonant, replace with previous letter'. These problems test your ability to apply conditional logic to alp...
Letter Clusters
10 worksheets
Letter Clusters problems ask you to count how many clusters (groups of consecutive identical letters) appear in a word. For example, 'SUCCESS' has clusters: 'SS' and 'CC' (2 clusters). These problems test your ability to identify patterns of repetition in words.
Letter Coding Sum
10 worksheets
Letter Coding Sum problems involve converting letters to their position numbers (A=1, B=2, ..., Z=26) and then performing arithmetic operations like addition. The code for a word is often the sum of positions of its letters. These problems test your ability to work with alphanumeric codes.
Letter Frequency
10 worksheets
Letter Operations
10 worksheets
Letter Operations problems involve modifying words by swapping, inserting, or deleting letters at specific positions. You must determine the resulting word after applying these operations. These problems test your attention to detail and ability to manipulate strings.
Mirror Code
10 worksheets
Mirror Code problems involve replacing each letter with its mirror image in the alphabet, where A↔Z, B↔Y, C↔X, and so on. This is also known as the Atbash cipher. These problems test your understanding of symmetrical relationships in the alphabet.
Multi Step Position
10 worksheets
Multi-Step Position problems combine multiple positional moves in sequence. You might need to find a letter that is a certain number of steps from another letter that is itself defined by its position from an end. These problems test your ability to chain multiple positional operations.
Nth From End
10 worksheets
Nth From End problems require you to find the letter that occupies a specific position when counting from the right end (Z) or left end (A) of the alphabet. These problems test your understanding of bidirectional alphabet sequencing.
Odd One Out Alphabet Test
10 worksheets
Odd One Out problems present a set of letters where one letter does not share a common property with the others. You must identify the letter that is different based on characteristics like vowel/consonant, symmetry, straight/curved lines, or position properties.
Relative After Or Before
10 worksheets
Relative After/Before problems ask you to find a letter that comes a certain number of positions after or before a given letter in the English alphabet. These problems test your knowledge of alphabet order and positional relationships.
Reverse Sequence Position
10 worksheets
Skipping Pattern
10 worksheets
Skipping Pattern problems involve sequences where letters are selected by moving forward or backward by a fixed number of steps (skipping a certain number of letters between them). These problems test your ability to identify and extend patterns with constant or variable gaps.
Sum Or Diff Positions
10 worksheets
Sum and Difference of Positions problems require you to add or subtract the position numbers of letters. These problems test your basic arithmetic skills applied to alphabet positions. You may be asked to find the sum, difference, or use these operations to decode codes.
Vowels Between
10 worksheets
Word Formation
10 worksheets
Word Formation problems ask you to form meaningful English words from a given set of letters. You may need to count how many words can be formed, identify a specific word, or find which word cannot be formed. These problems test your vocabulary and word-building skills.
Arithmetic Problems
Arithmetic Progression Missing Term
10 worksheets
Compound Interest
10 worksheets
Data Chart Arithmetic
10 worksheets
Find Wrong Term In Series
10 worksheets
Gp Missing Term
10 worksheets
Hp Missing Term
10 worksheets
Harmonic Progression (HP) missing term problems present a sequence of numbers whose reciprocals form an arithmetic progression. You must find the missing term by converting to AP, finding the missing reciprocal, then converting back.
Hybrid Or Multi Step Sequence
10 worksheets
Hybrid/Multi-Step Sequence problems involve sequences where each term is derived from the previous term using a combination of arithmetic operations (e.g., add then multiply). These problems test your ability to follow multi-step patterns.
Modular Arithmetic
10 worksheets
Olympiad Chain Arithmetic
10 worksheets
Olympiad Chain Arithmetic problems integrate multiple arithmetic concepts (AP, GP, SI, CI, percentages, ratios, time & work, etc.) into a single problem. These problems test your ability to apply multiple concepts sequentially and identify which concept applies at each step.
Partnership Profit Share
10 worksheets
Partnership and Profit Share problems involve dividing profits (or losses) among partners based on their capital investment and the time period for which the capital is invested. Profit sharing ratio = (Capital₁ × Time₁) : (Capital₂ × Time₂).
Percentage Calculation
10 worksheets
Percentage Calculation problems involve finding a percentage of a given number, finding what percentage one number is of another, or calculating percentage increase/decrease. These problems are fundamental to quantitative aptitude.
Ratio Calculation
10 worksheets
Simple Arithmetic Operation
10 worksheets
Simple Arithmetic Operations involve basic mathematical operations: addition (+), subtraction (-), multiplication (×), and division (÷). These problems test your ability to perform calculations quickly and accurately, often with multi-digit numbers.
Simple Interest
10 worksheets
Sum Of N Terms In Ap
10 worksheets
Time And Work
10 worksheets
Time and Work problems involve calculating the time required for one or more persons to complete a task, given their individual work rates. These problems test your understanding of work rate (work per unit time) and the inverse relationship between time and rate.
Unit Conversion
10 worksheets
Blood Relations
Adoption Guardian Edgecase
10 worksheets
Adoption/Guardian Edge Case problems involve non-biological relationships such as adoption, step-parents, step-siblings, foster parents, or legal guardians. These problems test your ability to handle family relationships that are not based on blood.
Cannot Be Determined
10 worksheets
Cannot Be Determined problems present blood relation scenarios where the given information is insufficient to establish a unique relationship between two persons. These problems test your ability to recognize when data is incomplete or leads to multiple possible interpretations.
Coded Blood Relations
10 worksheets
Coded Blood Relations problems represent family relationships using symbols or codes (e.g., 'A+B' means A is brother of B, 'A-B' means A is sister of B). You must decode the symbolic expressions and determine the relationship between given persons.
Data Sufficiency
10 worksheets
Definite Possible Cannot
10 worksheets
Definite-Possible-Cannot problems present a set of statements and ask you to classify a given relationship as 'definitely true', 'possibly true', or 'cannot be true' (definitely false). These problems test your ability to evaluate certainty levels in logical deductions.
Diagram Deduction Puzzle
10 worksheets
Diagram Deduction Puzzles present family relationships in a visual diagram format (often using symbols like □ for male, ○ for female, = for marriage, | for parent-child). You must interpret the diagram and answer questions about relationships between individuals in the tree.
Diagram To Logic Chain
10 worksheets
Diagram to Logic Chain problems present a family tree diagram and ask you to express a relationship as a logical chain (e.g., 'A is father of B, B is mother of C'). These problems test your ability to trace paths through a family tree and articulate the relationship in sequential steps.
Family Tree Puzzle
10 worksheets
Family Tree Puzzle problems present multiple scattered relationship clues that together allow you to reconstruct a complete family tree. These comprehensive problems test your ability to integrate information from various sources into a coherent family structure.
Generation Count
10 worksheets
Generation Count problems ask for the number of generations between two persons in a family tree. For example, grandparents are 2 generations above grandchildren. These problems test your ability to measure generational distance in a family hierarchy.
Indirect Statement Chain
10 worksheets
Indirect Statement Chain problems present relationship clues in an indirect or coded manner, such as 'pointing to a photograph' or 'the son of my mother's only daughter'. These problems require you to decode the indirect reference step by step to establish the actual relationship.
Min Steps Inference Chain
10 worksheets
Min Steps Inference Chain problems ask for the minimum number of relationship steps needed to establish a connection between two persons in a family tree. Each step is a direct relationship (parent-child, sibling, spouse). These problems test your ability to find the shortest path through a family t...
Multi Generational Chain
10 worksheets
Multi-Generational Chain problems involve relationships spanning three or more generations (great-grandparents, grandparents, parents, children, grandchildren). These problems test your ability to build and navigate extended family trees with multiple generational levels.
Negative Casework Chain
10 worksheets
Negative Casework Chain problems involve statements that exclude possibilities, such as 'A is not the father of B' or 'C is not the sister of D'. These negative constraints require you to use elimination and casework to deduce the correct relationship.
Negative Constraint
10 worksheets
Negative Constraint problems provide statements that exclude certain relationships (e.g., 'A is not the father of B'). These exclusions, combined with positive statements, help narrow down possibilities and deduce the correct relationship.
Puzzle Based Blood Relation
10 worksheets
Puzzle Based Blood Relation problems integrate blood relationships with other puzzle elements like seating arrangements, floor allocations, color preferences, or professions. These hybrid puzzles test your ability to simultaneously track family ties and other attributes.
Puzzle Passage Set
10 worksheets
Puzzle Passage Set problems present a descriptive passage about a family, followed by multiple questions based on that passage. These comprehensive problems test your ability to extract information, build a family tree, and answer various relationship questions from a single scenario.
Simple Relation Id
10 worksheets
Simple Relation ID problems give direct relationship statements between two individuals. You must identify the relationship of one person to another. These problems form the foundation of blood relation puzzles and test your knowledge of basic family terms.
Uncertain Gender Chain
10 worksheets
Uncertain Gender Chain problems present relationships where the gender of one or more persons is not directly stated. You must deduce the relationship or determine if it can be uniquely identified despite the ambiguity. These problems test your ability to work with incomplete information.
Calendar Reasoning
Advanced Odd Days
10 worksheets
Advanced Odd Days problems involve calculating the total number of odd days over a span of multiple years. Odd days are the remainder when total days are divided by 7. Each normal year contributes 1 odd day (365 mod 7 = 1), each leap year contributes 2 odd days (366 mod 7 = 2). These calculations he...
Calendar Cycle Finder
10 worksheets
Calendar Grid
10 worksheets
Calendar Grid problems give the first day of a month (e.g., 'The 1st of the month is Monday') and ask for the weekday of another date in the same month. You must calculate the position of the date in the weekly grid, accounting for the starting day.
Conditional Weekday Elimination
10 worksheets
Conditional Weekday Elimination problems use 'if-then' statements about weekdays (e.g., 'If tomorrow is not Tuesday, which day cannot be today?'). You must determine which weekday is impossible given the condition, using logical deduction and weekday relationships.
Date Sequence Logic
10 worksheets
Date Sequence Logic problems provide the weekday of a specific date (e.g., 'January 1st is Monday') and ask for the weekday of another date in the same year. You must calculate the number of days between the two dates and account for the 7-day weekly cycle.
February Length
10 worksheets
February Length problems ask whether February has 28 or 29 days in a given year. You must apply leap year rules to determine if the year is a leap year, which affects not only February but also calculations involving dates around February.
Festival Day Position
10 worksheets
Festival Day Position problems require calculating the date of a movable festival (like Easter Sunday, Diwali, or Thanksgiving) based on calendar rules such as 'first Sunday after the first full moon of spring' or specific lunar calendar positions.
Fiscal Calendar Puzzles
10 worksheets
Fiscal Calendar Puzzles involve determining the financial quarter (Q1, Q2, Q3, Q4) and semester (Semester 1 or 2) for a given date based on a fiscal year that may start in April (India) or January (many countries). These problems test understanding of fiscal period definitions.
Historical Calendar Conversion
10 worksheets
Historical Calendar Conversion problems involve the transition from the Julian calendar to the Gregorian calendar. In 1582 (and later in different countries), several days were skipped to realign the calendar with the solar year. The most famous example is September 1752 in England, where September ...
Month Day Pair
10 worksheets
Month-Day Pair problems involve finding the weekday of a specific date in one month when the weekday of the same date in the previous or next month is known. These problems require calculating the shift caused by the number of days in the intervening month.
Multi Step Calendar Deduction
10 worksheets
Multi-Step Calendar Deduction problems involve calculating the weekday of a date when given the weekday of another date, but with multiple steps and possibly different years. These problems require chaining multiple date difference calculations together.
Sequential Weekday
10 worksheets
Sequential Weekday puzzles present statements about yesterday, today, and tomorrow. For example, 'If yesterday was Monday and tomorrow is Wednesday, what day is today?' These problems test your understanding of the sequential nature of weekdays and the ability to deduce the current day from given re...
Visual Calendar Grid Reasoning
10 worksheets
Visual Calendar Grid Reasoning problems present a visual representation of a month's calendar grid (like a typical month view showing dates in rows of weeks). You must answer questions about the grid, such as counting how many times a particular weekday appears, identifying the day of a specific dat...
Cause Effect
Chain Cause Effect Hard
10 worksheets
Chain Cause Effect problems present a sequence where multiple statements are linked in a causal chain. Each statement is the effect of the previous one and the cause of the next. These problems test your ability to recognize and navigate extended causal sequences.
Common Cause Medium
10 worksheets
Common Cause problems present two statements that are both effects of some unstated common cause. Neither statement causes the other; instead, they are parallel outcomes of a shared underlying event or condition. These problems test your ability to recognize when events are correlated through a comm...
Direct Cause Effect Easy
10 worksheets
Direct Cause Effect problems present two statements where one is the clear and immediate cause of the other. The cause leads directly to the effect without any intermediate steps. These problems test your ability to recognize straightforward causal relationships.
Independent Causes Medium
10 worksheets
Independent Causes problems present two statements that have no logical or causal relationship with each other. Each statement may be a cause or effect of something else, but they are completely unrelated. These problems test your ability to recognize when events are not connected.
Indirect Cause Effect Hard
10 worksheets
Indirect Cause Effect problems involve a causal relationship where there is at least one intermediate step between the stated cause and stated effect. The cause leads to an intermediate event, which then leads to the final effect. These problems test your ability to recognize causal chains where the...
Multi Cause Effect Hard
10 worksheets
Multi Cause Effect problems present three statements where two statements are causes and the third is their combined effect. Neither cause alone may be sufficient, but together (or independently) they produce the effect. These problems test your ability to recognize when multiple factors contribute ...
Reverse Cause Effect Easy
10 worksheets
Reverse Cause Effect problems present the effect in Statement I and the cause in Statement II. You must recognize that Statement II is the cause and Statement I is its effect, despite the order of presentation. These problems test your ability to identify causal relationships regardless of presentat...
Cipher Decoding
Atbash Cipher
10 worksheets
The Atbash cipher is a simple substitution cipher where each letter is replaced by its mirror image in the alphabet: A becomes Z, B becomes Y, C becomes X, and so on. It is a symmetric cipher (self-inverse), meaning applying it twice returns the original text.
Autokey Cipher
10 worksheets
The Autokey Cipher is a polyalphabetic substitution cipher that uses a priming key followed by the plaintext itself (or ciphertext) to generate the keystream. This addresses the periodicity weakness of the Vigenère cipher by making the key as long as the message.
Baconian Cipher
10 worksheets
The Baconian Cipher (also known as the Bacon's cipher) uses a 5-bit binary representation for each letter, where each bit is represented by two different typefaces (often 'A' and 'B' or '0' and '1'). Developed by Francis Bacon, it's a form of steganography.
Base64 Or Hex Cipher
10 worksheets
Base64 and Hexadecimal (Hex) are encoding schemes used to represent binary data in ASCII text format. Base64 uses 64 characters (A-Z, a-z, 0-9, +, /) to encode data, while Hex uses 16 characters (0-9, A-F). These encodings are common in computer science and appear in competitive exams.
Book Cipher
10 worksheets
A Book Cipher is a cipher where the key is a specific book (or text). The ciphertext consists of references to positions in the book: page number, line number, and word number (or letter position). Only someone with the same book can decode the message.
Caesar Cipher
10 worksheets
The Caesar Cipher, also known as the shift cipher, is one of the simplest and most well-known encryption techniques. It works by shifting each letter in the plaintext by a fixed number of positions down the alphabet. Decoding requires determining the shift value and applying the reverse shift to rec...
Columnar Transposition
10 worksheets
The Columnar Transposition Cipher is a transposition cipher that writes the plaintext into a grid row by row, then reads the columns in an order determined by a keyword. The keyword letters determine the column order for reading the ciphertext.
Date Based Cipher
10 worksheets
A Date-Based Cipher uses a specific date (e.g., a birthday, historical event, or current date) to determine the encryption key. Common approaches use the sum of day+month+year (mod 26) as a Caesar shift, or use the date components to generate a keyword.
Hill Cipher
10 worksheets
The Hill Cipher is a polygraphic substitution cipher based on linear algebra. It uses matrix multiplication to transform blocks of letters (vectors) into ciphertext vectors. The key is an invertible matrix, and decoding requires the inverse of that matrix modulo 26.
Keyboard Shift Cipher
10 worksheets
The Keyboard Shift Cipher replaces each letter with an adjacent key on a standard QWERTY keyboard. Common shifts include shifting left, right, up, or down. This cipher is based on physical keyboard layouts rather than alphabetical order.
Keyword Cipher
10 worksheets
The Keyword Cipher is a monoalphabetic substitution cipher where a keyword is used to generate the cipher alphabet. The keyword is written first (with duplicate letters removed), followed by the remaining letters of the alphabet in order. This creates a one-to-one mapping between plaintext and ciphe...
Morse Code
10 worksheets
Morse code is a method of encoding text characters as sequences of dots (.) and dashes (-). Each letter, number, and punctuation has a unique pattern. It was developed for telegraph communication and remains relevant in puzzle and competitive exam contexts.
Playfair Cipher
10 worksheets
The Playfair Cipher is a digraph substitution cipher that encrypts pairs of letters (digraphs) using a 5x5 matrix generated from a keyword. It treats I and J as the same letter. The cipher was used extensively in military applications and remains a popular puzzle in competitive exams.
Rail Fence Cipher
10 worksheets
The Rail Fence Cipher (also called the zigzag cipher) is a transposition cipher that writes the plaintext in a zigzag pattern across multiple rails (rows), then reads off each rail sequentially to produce the ciphertext. The number of rails determines the pattern complexity.
Reverse Cipher
10 worksheets
The Reverse Cipher (also known as the backwards cipher) is a simple transposition cipher where the order of letters in the word is reversed. For example, 'HELLO' becomes 'OLLEH'. This cipher is often combined with other ciphers in competitive exam problems.
Rot13 Cipher
10 worksheets
ROT13 (rotate by 13 places) is a special case of the Caesar cipher with a shift of 13. It is its own inverse (applying ROT13 twice returns the original text), making it convenient for simple obfuscation. It is commonly used in online forums to hide spoilers and puzzle solutions.
Vigenere Cipher
10 worksheets
The Vigenère Cipher is a method of encrypting alphabetic text using a series of Caesar ciphers based on the letters of a keyword. It is a polyalphabetic substitution cipher, meaning the same plaintext letter can be encoded to different ciphertext letters depending on its position.
Clock Directions
Clock Based Turning
10 worksheets
Clock Based Turning problems describe direction changes using clock hour movements (e.g., 'turns clockwise by 3 hours'). Each hour on a clock represents 30 degrees of rotation. These problems test your ability to convert clock hours to angular rotation and determine the final facing direction.
Clock Face Directions
10 worksheets
Clock Face Directions problems use the analogy that a clock face represents the cardinal directions: 12 o'clock = North, 3 o'clock = East, 6 o'clock = South, and 9 o'clock = West. Intermediate hours represent intercardinal directions (Northeast, Southeast, Southwest, Northwest). These problems test ...
Clock Hand Direction
10 worksheets
Clock Hand Direction Analogy problems use clock hands as analogies for walking directions. For example, an hour hand pointing to a certain hour indicates a person is walking in that direction (with 12=North). These problems test your ability to interpret both hour and minute hand positions as geogra...
Clock Opposite Direction
10 worksheets
Clock Opposite Direction problems ask: given a clock hour representing a direction, which clock hour represents the opposite direction? Since 12=North, the opposite of North is South at 6 o'clock. Similarly, the opposite of East (3) is West (9). These problems test your understanding of opposite dir...
Clock Quadrant Directions
10 worksheets
Clock Quadrant Directions problems ask which geographic direction a specific quadrant of a clock face represents. The clock face is divided into four quadrants: 12-3 (First), 3-6 (Second), 6-9 (Third), and 9-12 (Fourth). Each quadrant corresponds to a general direction (Northeast, Southeast, Southwe...
Clockwise Movement
10 worksheets
Clockwise Movement Direction problems involve rotating a person or object on a clock face. Given a starting direction and a number of clockwise or anticlockwise steps (measured in clock positions or hours), you must determine the final facing direction. These problems test rotational reasoning and d...
Hand Direction At Time
10 worksheets
Hand Direction at Time problems ask for the geographic direction (North, East, South, West, etc.) pointed by the hour hand or minute hand of a clock, assuming 12 o'clock represents North. These problems require calculating the angle of the clock hand and mapping it to the corresponding direction.
Shadow Clock Direction
10 worksheets
Shadow Clock Direction problems combine clock time with shadow direction reasoning. Given a time of day, you must determine the direction of shadows or the sun's position. These problems test your ability to apply sun movement patterns to clock-based reasoning.
Time Based Sun Direction
10 worksheets
Time Based Sun Direction problems ask for the position of the sun or the direction of shadows at a given time of day. The sun rises in the East, sets in the West, and is in the South at noon (in the Northern Hemisphere). These problems test your knowledge of daily sun movement patterns.
Coding Decoding
Conditional Rules
10 worksheets
Conditional Rules problems apply different coding rules based on letter properties (vowel/consonant, position parity, etc.). For example, vowels might be replaced by numbers while consonants are shifted. These problems test your ability to apply rule-based transformations.
Decode From Pattern
10 worksheets
Letter Shift Basic
10 worksheets
Letter Shift Basic problems involve shifting each letter in a word by a fixed number of positions forward or backward in the alphabet (e.g., A→D is +3 shift). This is the simplest form of coding, also known as the Caesar cipher. You must identify the shift value and apply it to new words.
Mixed Operations
10 worksheets
Mixed Operations problems combine two or more coding operations in sequence (e.g., reverse the word, then shift each letter). You must identify the sequence of operations and apply them to new words. These problems test multi-step reasoning and pattern recognition.
Number Substitution
10 worksheets
Number Substitution problems replace each letter with its position number in the alphabet (A=1, B=2, ..., Z=26). Words become sequences of numbers. Some variations use A=0, B=1, or reverse numbering (A=26, B=25). These problems test your knowledge of alphabet positions and quick conversion.
Opposite Letter Coding
10 worksheets
Opposite Letter Coding replaces each letter with its mirror image in the alphabet, where A↔Z, B↔Y, C↔X, and so on. This is also known as the Atbash cipher. The relationship is: position of mirror letter = 27 - position of original letter.
Position Arithmetic
10 worksheets
Position Arithmetic problems involve performing arithmetic operations (addition, subtraction, multiplication, division) on the position numbers of letters. The result may be a new number or a transformed letter. These problems test arithmetic skills applied to alphabet positions.
Position Sum
10 worksheets
Position Sum problems code a word by adding the position numbers of all its letters (A=1, B=2, ..., Z=26). The code is a single number representing the total sum. These problems test basic addition skills and alphabet position knowledge.
Reverse Coding
10 worksheets
Reverse Coding problems involve reversing the order of letters in a word (e.g., 'CAT' becomes 'TAC'). This is the simplest pattern-based coding. You must identify that the code is the original word written backwards and apply the same operation to new words.
Data Arrangement
3X3 Matrix Arrangement Persons X Colors
10 worksheets
3x3 Matrix Arrangement problems involve placing 9 persons (or objects) in a 3x3 grid, with each cell containing a unique person and a unique color. Constraints involve adjacency (orthogonal neighbors), opposite cells (diagonally opposite corners, opposite edges), and position properties (center, cor...
Ambiguous Arrangement
10 worksheets
Ambiguous Arrangement problems have multiple valid arrangements that satisfy all given clues. The answer may be 'Cannot be determined' or you may need to identify what is fixed across all possible arrangements. These problems test the ability to recognize insufficient information.
Blood Relations And Circular Seating
10 worksheets
Blood Relations + Circular Seating problems combine family relationship puzzles with circular arrangement logic. You must determine both the family tree and the seating arrangement around a circle, using clues about both relationships and positions.
Box Puzzle Color City Item Floor
10 worksheets
Complex Box Puzzles involve arranging boxes with multiple attributes: color, city, item, and floor (position in stack). Each attribute has unique values across boxes. These puzzles require systematic elimination and multi-dimensional reasoning.
Circular Mixed Facing
10 worksheets
Circular Mixed Facing problems involve a circular arrangement where some people face the center and others face outward. Left and right directions depend on facing orientation. These are among the most challenging circular seating puzzles.
Circular Seating Second Left
10 worksheets
Circular Seating problems involve arranging people around a circular table, either facing the center or facing outward. Direction (left/right) depends on whether persons are facing the center or outward. These problems test spatial visualization and direction reversal logic.
Conditional Linear If Then Chains
10 worksheets
Database Style Records Id Or City Or Score
10 worksheets
Database-Style Record problems present a set of records with multiple fields (e.g., ID, Name, City, Score). You must match field values to create complete records using given constraints. Each field has unique values across records.
Direction Sense With Path Walking
10 worksheets
Direction Sense with Path Walking problems involve a person walking in different directions, turning left/right at various points, and reaching a destination. Questions ask about final facing direction, displacement (shortest distance), or distance traveled in specific segments.
Double Row Facing Basics
10 worksheets
Double Row Facing problems involve two parallel rows of equal length, with one row facing North and the other facing South (facing each other). Persons in opposite rows sit directly opposite each other (same column index). These problems test your ability to coordinate two simultaneous arrangements ...
Floor Or Box Puzzle
10 worksheets
Floor/Box Puzzle problems involve arranging boxes on different floors of a building (or in a stack) with multiple attributes (color, city, item). Clues include specific floor assignments, gaps between boxes, adjacency, and even/odd floor constraints.
Grouping And Classification Projects By Skill
10 worksheets
Grouping and Classification problems involve dividing a set of people into groups (teams, projects, departments) based on given constraints. Clues include co-membership (X works with Y), exclusion (X does not work with Y), and skill-based allocation. These problems test set partitioning logic.
Incomplete Information Vacant Seat
10 worksheets
Incomplete Information problems involve arrangements where some positions are vacant (empty) or some persons are missing. The total number of positions exceeds the number of persons. Clues about the vacant seat's position and relative placements help determine the arrangement.
Integrated Rank Time Subject Olympiad
10 worksheets
Integrated Olympiad problems combine multiple attributes (rank, time taken, subject attempted) for students in a competition. Clues link these attributes across students (e.g., 'The student ranked 1 finished earlier than the one who attempted Math'). These puzzles test multi-dimensional reasoning an...
Linear Single Row Ends And Distances
10 worksheets
Linear Single Row: Ends and Distances problems involve arranging people in a row with constraints about specific distances between persons (e.g., 'exactly two persons between X and Y'), positions based on parity (even/odd numbers), and fixed position numbers. These puzzles require arithmetic reasoni...
Linear Single Row Relative Positions
10 worksheets
Linear Single Row: Relative Positions problems involve arranging a fixed number of people in a single row facing a specific direction (typically North or South). You are given clues about who sits at extreme ends, who sits adjacent to whom, and relative left-right positions. These foundational puzzl...
Multi Dimensional Conditional Brand Or Sport Or Vehicle
10 worksheets
Multi-Dimensional Conditional problems involve matching persons with three attributes (e.g., Brand, Sport, Vehicle) using complex clues including positive assignments, negative exclusions, and conditional statements (if-then). These are among the most challenging matching puzzles.
Priority Sequencing Task Urgency
10 worksheets
Priority Sequencing problems involve ranking tasks or items by priority (1 = highest priority). Clues include direct comparisons (X has higher priority than Y), positional statements (X is neither highest nor lowest), and between relationships (X's priority is between Y and Z).
Rank Based Ordering Scores
10 worksheets
Rank-Based Ordering problems involve ranking people by scores or marks (1st = highest score). Clues include direct comparisons (A scored more than B), range statements (A scored less than B but more than C), and extreme position statements (A scored the least).
Size Or Value Ordering Heights
10 worksheets
Size/Value Ordering problems involve ranking people by physical attributes (height, weight, age) or other measurable quantities. Clues use comparatives like 'taller than', 'shorter than', 'heavier than', etc. These problems test transitive reasoning and ordering skills.
Spreadsheet Pattern Sales By Month
10 worksheets
Spreadsheet Pattern problems present data in a table format (representatives, months, sales figures). You must analyze comparative statements (e.g., 'A sold more than B', 'highest sale was in March') to determine rankings, identify highest/lowest performers, or answer specific questions about the da...
Square Or Rectangular Table Corners And Middles
10 worksheets
Square/Rectangular Table problems involve arranging people around a rectangular or square table, with distinct positions at corners and middle of sides. All persons face the center, so left/right rules follow standard circular seating logic. These problems test spatial reasoning with irregular posit...
Tabular Arrangement Colors X Subjects
10 worksheets
Tabular Arrangement problems involve matching multiple attributes (e.g., persons with colors and subjects) based on given clues. Each person has a unique color and unique subject. These puzzles test your ability to use elimination and cross-referencing in a table format.
Time Sequencing Talks Across Days
10 worksheets
Time Sequencing problems involve ordering events (talks, meetings, tasks) across days of the week or time slots. Clues include 'X is before Y', 'X is neither first nor last', and specific day assignments. These problems test temporal reasoning and ordering skills.
Tree Structure Hierarchy
10 worksheets
Tree Structure problems involve hierarchical relationships where persons have managers and subordinates. You must build a tree (directed graph) from clues about reporting relationships, departments, and roles. These problems test graph construction and navigation skills.
Direction Sense
About Face Problems
10 worksheets
About Face problems involve turning 180° (completely around). This is also known as a reverse, U-turn, or half turn. After an about face, a person faces exactly the opposite direction. These problems test understanding of 180° rotations and reversal of direction.
Basic Direction Turns
10 worksheets
Basic Direction Turns problems involve a person facing a given cardinal direction (North, South, East, West) who then makes a single left or right turn. You must determine the new facing direction. These problems test fundamental understanding of 90-degree rotations and the sequence of cardinal dire...
Clock Time Direction
10 worksheets
Clock Time Direction problems map clock face positions to geographic directions. On a standard clock, 12 o'clock represents North, 3 o'clock is East, 6 o'clock is South, and 9 o'clock is West. The hour hand's position at a given time indicates a specific direction. These problems test the analogy be...
Clockwise Anticlockwise
10 worksheets
Clockwise/Anticlockwise problems involve turning a specified number of degrees (90°, 180°, 270°, 360°) in a given rotational direction. Each 90° turn corresponds to moving to the next cardinal direction clockwise (right) or anticlockwise (left). These problems test understanding of degree-based rota...
Coded Directions
10 worksheets
Coded Directions problems use symbols, letters, or numbers to represent cardinal and intercardinal directions. You must decode the code, apply turns or movements, and encode the result. These problems test your ability to work with abstract representations of directions.
Compass Bearing
10 worksheets
Compass Bearing problems use bearings measured in degrees clockwise from North (0° to 360°). These problems require converting between bearings and cardinal/intercardinal directions, calculating new bearings after turns, and solving navigation problems. This is the standard system used in navigation...
Direction Ratio
10 worksheets
Direction Ratio problems involve comparing distances traveled in different directions using ratios. Given the ratio of distances moved in two or more directions, you must find the final position, shortest distance, or direction relative to start. These problems test proportional reasoning combined w...
Labyrinth Path
10 worksheets
Labyrinth Path problems involve complex sequences of turns and movements through winding paths. You must track the person's facing direction or determine final orientation after navigating a path with multiple turns, including nested turns (turns within turns). These problems test advanced sequentia...
Mirror Reflection
10 worksheets
Mirror Reflection Direction problems involve determining how a direction appears when viewed in a mirror. A mirror reverses left and right horizontally (horizontal mirror) or top and bottom vertically (vertical mirror/water reflection). These problems test spatial visualization and understanding of ...
Multi Person Relative
10 worksheets
Multi-Person Relative Position problems involve two or more persons moving from the same or different starting points. You must determine the relative position of one person with respect to another, including both direction and distance. These problems combine coordinate geometry with vector additio...
Multiple Turns
10 worksheets
Multiple Turns problems involve a person making a sequence of two or more left/right turns. You must determine the final facing direction after applying all turns in order. These problems test your ability to apply sequential rotations and track cumulative directional changes.
Obstacle Avoidance
10 worksheets
Obstacle Avoidance problems involve a person whose direct path is blocked by an obstacle. The person must take a detour (e.g., go around the obstacle) to reach the destination. These problems test path planning and alternative route reasoning in direction sense contexts.
Opposite Direction
10 worksheets
Opposite Direction problems involve finding the direction exactly opposite to a given direction (180° apart). For cardinal directions, North ↔ South and East ↔ West. For intercardinal directions, Northeast ↔ Southwest, Southeast ↔ Northwest. These problems test understanding of directional opposites...
Relative Position Movement
10 worksheets
Relative Position Movement problems involve tracking a person's position after a sequence of movements in different directions. You must determine both the straight-line distance and the direction of the final point relative to the starting point. These problems use coordinate geometry and vector ad...
Shadow Direction
10 worksheets
Shadow Direction problems involve determining where a person's shadow falls based on the sun's position (which depends on time of day) and the person's facing direction. Shadows always fall opposite to the sun's direction. These problems test understanding of sun movement patterns and shadow behavio...
Shadow Length
10 worksheets
Shadow Length problems require calculating the length of a shadow cast by an object of known height, given the sun's angle of elevation. These problems use the trigonometric relationship: shadow length = height × cot(θ) = height / tan(θ), where θ is the sun's angle from the horizontal. They combine ...
Shortest Distance
10 worksheets
Shortest Distance problems involve a person walking in multiple directions (North, South, East, West) and you must find the straight-line distance between the starting and ending points. These problems use the Pythagorean theorem to calculate displacement from net East-West and North-South movements...
Sun Direction
10 worksheets
Sun Direction problems ask for the position of the sun in the sky at a given time of day. The sun rises in the East, reaches its highest point in the South (in the Northern Hemisphere) at noon, and sets in the West. These problems test knowledge of daily sun movement patterns.
Wind Direction
10 worksheets
Wind Direction problems involve the effect of wind on a person's or object's movement. The wind can push the person off course, resulting in a different actual path than intended. These problems test understanding of vector addition and wind drift effects on direction.
Distance Logic
Average Speed
10 worksheets
Average Speed problems involve calculating the overall speed for a journey covering different segments at different speeds. The formula depends on whether the segments cover equal distances or equal times. For equal distances, average speed is the harmonic mean; for equal times, it's the arithmetic ...
Boat River
10 worksheets
Boat and River problems involve calculating speeds in flowing water. Downstream speed (with current) = Boat speed + Stream speed; Upstream speed (against current) = Boat speed - Stream speed. These problems test understanding of relative motion in a moving medium.
Circular Track
10 worksheets
Circular Track problems involve objects moving on a circular path. Key concepts include meeting time, number of laps, and relative speed. When moving in the same direction, relative speed = difference of speeds; when moving opposite, relative speed = sum of speeds.
Minimum Distance
10 worksheets
Minimum Distance problems ask for the shortest possible distance between two points, typically after a person walks in perpendicular directions. The minimum distance is always the straight line connecting the start and end points, calculated using the Pythagorean theorem.
Multi Stage Displacement
10 worksheets
Multi-Stage Displacement problems involve 3 or more movement segments in different directions. You must track cumulative net displacement to find the final position and straight-line distance from the starting point. These problems test systematic coordinate tracking and vector addition.
Pythagorean Distance
10 worksheets
Pythagorean Distance problems involve finding the shortest distance between two points when the path consists of perpendicular movements (North-South and East-West). The straight-line distance is the hypotenuse of the right triangle formed by the two perpendicular legs.
Relative Distance Between Points
10 worksheets
Relative Distance Between Points problems involve two persons or objects moving from the same or different starting points. You must calculate the straight-line distance between their final positions. These problems combine coordinate tracking for two entities with distance calculation.
Relative Speed
10 worksheets
Relative Speed problems involve two objects moving towards each other or in the same direction. When moving towards each other, relative speed = sum of speeds; when moving in the same direction, relative speed = difference of speeds. These problems ask for meeting time, distance between them, or tim...
Shadow Based Distance
10 worksheets
Shadow Based Distance problems use the principle of similar triangles to find heights or shadow lengths. When light rays from a source (sun or lamp) create shadows, the ratio of height to shadow length is constant for all objects at the same time.
Speed Distance Time
10 worksheets
Speed, Distance, Time (SDT) problems use the fundamental relationship: Distance = Speed × Time. These problems require calculating one variable when the other two are given. You must also handle unit conversions (km/h to m/s, minutes to hours) correctly.
Straight Line Distance
10 worksheets
Straight Line Distance problems involve calculating the shortest distance (displacement) between a starting point and ending point after a person walks in multiple directions (North, South, East, West). These problems test your ability to track net displacement and apply the Pythagorean theorem to f...
Train Crossing
10 worksheets
Train Crossing problems involve calculating the time a train takes to completely cross a stationary object (pole, platform, bridge, tunnel). The total distance covered equals the length of the train plus the length of the object (if any). These problems test understanding of relative motion with sta...
Family Tree
Ambiguity
10 worksheets
Ambiguity problems present family relationship scenarios where the given information is insufficient to determine a unique relationship. Multiple relationships are possible, or gender cannot be determined. These problems test your ability to recognize when information is incomplete.
Ascii Diagram Ancestor
10 worksheets
ASCII Diagram Ancestor problems present a family tree using text characters (e.g., '|', '-', '+') to represent relationships. You must interpret the diagram to identify ancestors, descendants, and generational levels. These problems test your ability to read tree structures from text representations...
Cousin
10 worksheets
Cousin problems involve identifying relationships between children of siblings. First cousins share grandparents. Second cousins share great-grandparents. These problems test your understanding of extended family structures and generational distances.
Data Sufficiency
10 worksheets
Data Sufficiency problems present a question about a family relationship followed by two statements. You must determine whether each statement alone, or both together, are sufficient to answer the question uniquely. These problems test logical assessment of information adequacy.
Diagram Or Table
10 worksheets
Diagram/Table problems present family relationships in a visual diagram format (using symbols like □ for male, ○ for female) or in a table listing relationships. You must interpret the visual or tabular data to answer questions about relationships between individuals.
Enumerative Generation Count
10 worksheets
Enumerative Generation Count problems involve counting the number of family members, males, females, or generations based on given constraints. These problems test your ability to use quantitative information alongside relationship statements to deduce family structures.
Family Counting
10 worksheets
Family Counting problems require you to determine the number of males, females, or total members in a family based on given relationship statements. These problems test your ability to build a family tree and count individuals without duplication, including implied family members.
Great Grandparent
10 worksheets
Great-Grandparent problems involve relationships spanning three or more generations (great-grandparents, great-grandchildren, great-aunts, great-uncles). These problems test your ability to navigate multiple generations in a family tree.
Half Sibling
10 worksheets
Half-Sibling problems involve siblings who share only one biological parent (either the same mother or the same father). These problems test your understanding of blood relationships when parents have children with multiple partners.
Leaf Or Root Or Tree Node
10 worksheets
Leaf/Root/Tree Node problems involve identifying the root (oldest ancestor, no parents) or leaves (youngest descendants, no children) in a family tree. These problems test your understanding of tree structures and generational hierarchy.
Multi Tree Merge And Relationship
10 worksheets
Multi-Tree Merge problems involve two or more separate family trees that become connected through marriage. You must combine the trees and determine relationships between members of different original families (in-laws, step-relations, etc.). These problems test advanced integration and tree-merging...
Odd Member Out Tree
10 worksheets
Odd Member Out problems present a set of family members and ask you to identify the person who does not belong (e.g., is from a different branch, generation, or has a different relationship to the others). These problems test your ability to classify family members by their position in the tree.
Passage Set
10 worksheets
Passage Set problems present a descriptive passage about a family, followed by multiple questions based on that passage. These comprehensive problems test your ability to extract information, build a family tree, and answer various relationship questions from a single scenario.
Relationship Degree Or Distance
10 worksheets
Relationship Degree/Distance problems ask for the minimum number of relationship steps (edges) needed to connect two persons in a family tree. Each parent-child, sibling, or spouse connection counts as one step. These problems test your ability to find the shortest path through a family tree graph.
Simple Direct Relation
10 worksheets
Simple Direct Relation problems present a straightforward relationship between two family members (e.g., 'A is the father of B') and ask for the inverse relationship. These problems test your grasp of basic kinship terminology and form the foundation of all family tree puzzles.
Step Sibling
10 worksheets
Step-Sibling problems introduce non-biological relationships formed through marriage. Step-siblings share no biological parents; they become siblings when their respective parents marry each other. These problems test your understanding of family structures formed by remarriage.
Three Step Chain
10 worksheets
Three-Step Chain problems extend the two-step concept by linking three or more relationships (e.g., 'A is father of B', 'B is sister of C', 'C is mother of D'). You must find the relationship between the first and last person. These problems test advanced logical chaining and multi-generational reas...
Two Step Chain
10 worksheets
Two-Step Chain problems involve connecting two direct relationships to find a relationship between two persons who are not directly connected. For example, 'A is the father of B' and 'B is the brother of C' requires you to find how A is related to C. These problems test your ability to logically cha...
Uncle Or Aunt
10 worksheets
Uncle/Aunt problems focus specifically on the relationship between a person and their parent's sibling. An uncle is the brother of one's parent; an aunt is the sister of one's parent. These problems test your understanding of lateral family relationships (same generation as parents).
Gk Analogy
Article Provision Hard
10 worksheets
Article-Provision problems require matching articles of the Indian Constitution with the provisions they contain. These problems test knowledge of constitutional law and Indian polity. Common pairs include Article 14-Equality before Law, Article 32-Right to Constitutional Remedies, Article 40-Organi...
Author Book Easy
10 worksheets
Author-Book problems require matching famous authors with their notable literary works. These problems test knowledge of literature, both Indian and international. Common pairs include Rabindranath Tagore-Gitanjali, William Shakespeare-Romeo and Juliet, Munshi Premchand-Godan, and Salman Rushdie-Mid...
City River Hard
10 worksheets
City-River problems require matching major world cities with the rivers on which they are situated. These problems test knowledge of urban geography and river systems. Common pairs include London-Thames, Paris-Seine, Rome-Tiber, and New York-Hudson. Harder pairs include Baghdad-Tigris, Khartoum-Blue...
Company Founder Hard
10 worksheets
Company-Founder problems require matching well-known companies with their founders. These problems test knowledge of business history and entrepreneurship. Common pairs include Microsoft-Bill Gates, Apple-Steve Jobs, Infosys-N. R. Narayana Murthy, and Tata Group-Jamsetji Tata.
Country Capital Easy
10 worksheets
Country Currency Easy
10 worksheets
Country-Currency problems require matching countries with their official currencies. These problems test knowledge of world currencies and economic geography. Common pairs include India-Rupee, United States-Dollar, United Kingdom-Pound Sterling, Japan-Yen, and European Union-Euro.
Country Currency Hard
10 worksheets
Country-Currency (Hard) problems test knowledge of currencies from less commonly tested countries. These include Central Asian nations, small island nations, and African countries with unique currency names. These problems are designed for advanced competitive exams.
Country Currency Medium
10 worksheets
Country-Currency (Medium) problems test knowledge of less common currencies beyond the major economies. These include countries like Vietnam (Dong), Nigeria (Naira), Thailand (Baht), and South Africa (Rand). These problems are more challenging than basic country-currency pairs.
Dance Form Origin Medium
10 worksheets
Dance Form-Origin problems require matching dance forms with their states or countries of origin. These problems test knowledge of Indian classical and folk dances as well as international dance forms. Common pairs include Bharatanatyam-Tamil Nadu, Kathak-Uttar Pradesh, Bihu-Assam, and Flamenco-Spai...
Disease Cause Medium
10 worksheets
Disease-Cause problems require matching diseases with their causative agents (bacteria, viruses, protozoa, fungi, or nutritional deficiencies). These problems test knowledge of medical science and disease pathology. Common pairs include Malaria-Protozoa, Tuberculosis-Bacteria, Common Cold-Virus, and...
Disease Medicine Medium
10 worksheets
Disease-Medicine problems require matching diseases with their primary treatments, medications, or preventive measures. These problems test knowledge of common diseases and their cures. Common pairs include Malaria-Chloroquine/Artemisinin, Tuberculosis-Rifampicin/Isoniazid, Diabetes-Insulin, and Can...
Freedom Fighter Movement Hard
10 worksheets
Freedom Fighter-Movement problems ask you to identify the revolutionary organization, movement, or contribution associated with a particular freedom fighter. These problems test your knowledge of India's independence struggle and the specific roles played by different leaders. Common pairs include B...
Government Scheme Ministry Hard
10 worksheets
Government Scheme-Ministry problems require matching Indian government schemes with the ministries that implement them. These problems test knowledge of current affairs and government structure. Common pairs include Ayushman Bharat-Ministry of Health, PM-KISAN-Ministry of Agriculture, Ujjwala Yojana...
Historical Event Period Medium
10 worksheets
Historical Event-Period problems require matching significant historical events with the years or periods in which they occurred. These problems test your knowledge of important dates in Indian and world history. Common pairs include Dandi March-1930, Quit India Movement-1942, and Battle of Plassey-...
Historical Ruler Dynasty Easy
10 worksheets
Historical Ruler-Dynasty problems ask you to identify the dynasty or empire to which a famous historical ruler belonged. These problems test your knowledge of Indian and world history, specifically the relationship between rulers and their ruling houses. Common pairs include Akbar-Mughal, Ashoka-Mau...
Mountain Location Hard
10 worksheets
Mountain Location problems require matching mountain ranges or peaks with their geographical locations (continents, countries, or regions). These problems test knowledge of physical geography. Common pairs include Himalayas-Asia, Andes-South America, Alps-Europe, and Rocky Mountains-North America.
Organization Headquarters Hard
10 worksheets
Organization-Headquarters problems require matching international organizations with their headquarters locations. These problems test knowledge of global governance structures and international relations. Common pairs include United Nations-New York, World Health Organization-Geneva, World Bank-Was...
Player Sport Easy
10 worksheets
Player-Sport problems require matching famous athletes with the sports they play. These problems test knowledge of sports personalities across cricket, football, tennis, athletics, and other sports. Common pairs include Sachin Tendulkar-Cricket, Lionel Messi-Football, Roger Federer-Tennis, and Usain...
River Country Medium
10 worksheets
River-Country problems ask you to match major rivers with the countries they flow through. Some rivers flow through multiple countries, so the association is typically with the primary or most famous country. Common pairs include Ganga-India, Nile-Egypt, Amazon-Brazil, and Yangtze-China.
Scientist Discovery Easy
10 worksheets
Scientist-Discovery problems ask you to match famous scientists and inventors with their major discoveries or inventions. These problems test knowledge of the history of science and technology. Common pairs include Newton-Law of Gravitation, Einstein-Theory of Relativity, Curie-Radium, and Darwin-Th...
Trophy Sport Medium
10 worksheets
Trophy-Sport problems require matching sports trophies and tournaments with their respective sports. These problems test knowledge of major sports events, both international and domestic. Common pairs include FIFA World Cup-Football, ICC Cricket World Cup-Cricket, Wimbledon-Tennis, and Ranji Trophy-...
Inference
Abductive Inference
10 worksheets
Abductive Inference (inference to the best explanation) involves reasoning from observed facts to the most plausible explanation that accounts for those facts. Unlike deductive inference (which guarantees truth) and inductive inference (which generalizes), abduction selects the best explanation amon...
Analogical Inference
10 worksheets
Analogical Inference problems involve drawing conclusions about a target situation based on its similarity to a known source situation. You must evaluate the strength of analogies, identify relevant similarities and differences, and determine what conclusions are reasonably supported by the analogy.
Assumption Inference
10 worksheets
Assumption Inference problems require identifying the hidden assumptions or unstated premises that must be true for an argument to be logically valid. You must recognize what the argument takes for granted, what must be assumed for the conclusion to follow from the evidence.
Causal Inference
10 worksheets
Causal Inference problems require drawing conclusions about cause-and-effect relationships based on observed patterns, temporal sequences, and statistical correlations. You must distinguish between correlation and causation, consider alternative explanations, and determine what causal conclusions ar...
Complex Logical Inference
10 worksheets
Complex Logical Inference problems involve multiple logical operations, nested conditionals, quantifiers (all, some, none, most), and extended inference chains. These challenging problems require systematic application of logical rules, contrapositives, and transitive properties across multiple stat...
Contrapositive Inference
10 worksheets
Contrapositive Inference problems involve the logical equivalence: 'If P then Q' is equivalent to 'If not Q then not P'. This allows you to draw conclusions when the consequent (Q) is false. These problems test your understanding of modus tollens (denying the consequent) and the contrapositive trans...
Direct Inference
10 worksheets
Direct Inference problems present a single premise (often an 'if-then' statement or a universal categorical statement like 'All A are B') followed by a specific instance. You must draw the direct, immediate conclusion that follows necessarily from the premise. These problems test your understanding ...
Multiple Premise Inference
10 worksheets
Multiple Premise Inference problems present two or more premises that must be combined to draw a logical conclusion. These include categorical syllogisms (All A are B, All B are C → All A are C), conditional chains (If P then Q, If Q then R → If P then R), and mixed forms. These problems test your a...
Necessary Or Sufficient Inference
10 worksheets
Necessary/Sufficient Inference problems test your understanding of the logical relationships between conditions. A sufficient condition guarantees an outcome; a necessary condition must be present for an outcome to occur. These problems require distinguishing between 'if' (sufficient), 'only if' (ne...
Probability Inference
10 worksheets
Probability Inference problems involve drawing conclusions based on statistical probabilities, likelihoods, and percentages rather than certainties. You must determine what is likely, probable, or reasonable to infer from given statistical information, understanding that these conclusions are probab...
Quantifier Inference
10 worksheets
Quantifier Inference problems involve reasoning with quantified statements using terms like 'all', 'some', 'none', 'most', and 'few'. You must understand the logical relationships between these quantifiers and draw valid conclusions about category membership.
Statistical Inference
10 worksheets
Statistical Inference problems involve drawing conclusions about a population based on data from a sample. You must consider sample size, margin of error, confidence levels, and the representativeness of the sample to determine what can be reasonably inferred about the larger population.
Input Output Basic
Alphabetical Sorting Easy
10 worksheets
Alphabetical Sorting problems present a sequence of words as input. Through a series of steps (often simulating bubble sort or selection sort), the words are rearranged into alphabetical (dictionary) order. You must analyze the sorting pattern and determine the final output or the arrangement at a s...
Alternate Arrangement Medium
10 worksheets
Alternate Arrangement problems present mixed input containing both words and numbers. Words are sorted alphabetically, numbers are sorted numerically, and then they are interleaved in an alternating pattern (e.g., word, number, word, number). These problems test your ability to handle mixed data typ...
Complex Multi Rule Hard
10 worksheets
Complex Multi-Rule problems combine multiple sorting and transformation rules applied sequentially. Common patterns include sorting words by length, sorting numbers numerically, then interleaving them in a specific pattern. These problems test advanced sequential reasoning and multi-rule application...
Digit Sum Sorting Medium
10 worksheets
Digit Sum Sorting problems present a sequence of numbers as input. Numbers are sorted based on the sum of their digits (e.g., 23 → 2+3=5), with ties broken by the number's value. These problems test your ability to calculate digit sums and apply multi-criteria sorting rules.
Interleaving Patterns Hard
10 worksheets
Interleaving Patterns problems involve merging sorted word and number sequences using complex patterns such as "2 words, 1 number" or "1 number, 2 words" repeating. These problems test your ability to apply non-standard interleaving patterns and handle lists of different lengths.
Number Sorting Easy
10 worksheets
Number Sorting problems present a sequence of numbers as input. Through a series of steps (simulating bubble sort, selection sort, or insertion sort), the numbers are rearranged into ascending (or descending) order. You must analyze the sorting pattern and determine the final output or the arrangeme...
Odd Even Separation Easy
10 worksheets
Odd-Even Separation problems present a sequence of numbers as input. Through a series of steps, even numbers are moved to the front (or back) of the sequence, followed by odd numbers, often with each group sorted internally. These problems test your ability to classify numbers by parity and arrange ...
Palindrome Sorting Medium
10 worksheets
Palindrome Sorting problems present a sequence of words as input. Palindromic words (words that read the same forwards and backwards) are placed first, followed by non-palindromic words, with each group sorted alphabetically. These problems test your ability to identify palindrome property and apply...
Pattern Recognition Advanced Hard
10 worksheets
Advanced Pattern Recognition problems involve applying multiple transformations to a single word or sequence. Common transformations include reversal (writing backwards), letter shifting (Caesar cipher), rotation (moving characters), and character replacement. These problems test your ability to app...
Prime Number Filtering Hard
10 worksheets
Prime Number Filtering problems present a sequence of numbers as input. Prime numbers are placed first, followed by composite numbers, with each group sorted in ascending order. These problems test your ability to identify prime numbers and apply grouping rules.
Vowel Consonant Separation Hard
10 worksheets
Vowel-Consonant Separation problems present a sequence of words as input. Words starting with vowels (A, E, I, O, U) are placed first, followed by words starting with consonants, with each group sorted alphabetically. These problems test your ability to classify words by their first letter and apply...
Word Length Sorting Medium
10 worksheets
Word Length Sorting problems present a sequence of words as input. Words are sorted primarily by their length (number of letters), with ties broken alphabetically. These problems test your ability to apply multi-criteria sorting rules and track word positions across steps.
Letter Series
Alternating Series
10 worksheets
Alternating Series problems involve sequences where two different patterns interleave. For example, odd positions follow one progression while even positions follow another. These problems test your ability to separate interleaved patterns and analyze them independently.
Consecutive Alphabet
10 worksheets
Consecutive Alphabet problems present letter sequences where each subsequent letter comes immediately after the previous letter in the English alphabet (e.g., A, B, C, D). These fundamental problems test your knowledge of alphabetical order and basic pattern recognition, serving as the foundation fo...
Consonant Series
10 worksheets
Consonant Series problems involve sequences that consist only of consonant letters (all letters except A, E, I, O, U). These problems test your knowledge of the alphabet with vowels excluded and your ability to recognize patterns within the consonant set.
Double Series
10 worksheets
Double Series problems involve two distinct patterns that are interleaved. For example, odd positions follow one pattern while even positions follow another. These are similar to Alternating Series but often involve more complex or independent patterns in each track.
Fibonacci Position
10 worksheets
Mirror Image
10 worksheets
Mirror Image problems involve letter sequences where each letter is transformed to its mirror counterpart (A↔Z, B↔Y, C↔X, etc.). These problems test your understanding of alphabetical symmetry and the ability to apply the Atbash cipher transformation.
Odd Even Series
10 worksheets
Odd-Even Series problems involve letter sequences where odd positions and even positions follow different transformation rules. These problems test your ability to handle position-based conditional patterns and separate sequences by parity.
Position Based
10 worksheets
Position Based problems involve letter sequences determined by mathematical operations on their position numbers. For example, the 1st letter, 3rd letter, 5th letter of the alphabet, or letters at positions that are multiples of a number. These problems test your understanding of alphabet positions ...
Position Jump
10 worksheets
Position Jump problems involve letter sequences where the step size (number of positions moved) increases by a constant amount each time. For example, +1, +2, +3, +4, ... or +2, +4, +6, ... These problems test your ability to identify and extend patterns where the increment itself changes.
Position Squares
10 worksheets
Prime Position
10 worksheets
Reverse Alphabet
10 worksheets
Skip Letter Series
10 worksheets
Skip Letter Series problems present sequences where each letter is obtained by moving a fixed number of steps forward (or backward) in the alphabet, skipping over a certain number of letters. For example, A, C, E, G (skip one letter between each). These problems test your ability to identify constan...
Vowel Series
10 worksheets
Logical Sequence
Alternating Operations
10 worksheets
Alternating Operations sequences use two different operations that alternate between terms. Common patterns include: add then multiply, add then subtract, multiply then add, or alternating between two different constants. These problems test your ability to recognize and handle mixed patterns.
Alternating Sign Sequences
10 worksheets
Alternating Sign sequences have terms that alternate between positive and negative values. The pattern may be +, -, +, -, ... or -, +, -, +, ... These problems test your ability to handle sign changes in arithmetic and geometric progressions.
Arithmetic Progression
10 worksheets
Arithmetic Progression (AP) problems present sequences where each term increases or decreases by a fixed constant called the common difference. These fundamental problems test your ability to identify linear patterns and extend sequences using the formula aₙ = a₁ + (n-1)d.
Fibonacci Like
10 worksheets
Fibonacci-like sequences are defined by the recurrence relation where each term is the sum of the two preceding terms. The classic Fibonacci sequence starts with 0,1,1,2,3,5,8,13... Variations may use different starting numbers. These problems test your ability to apply recursive addition patterns.
Fraction Sequences
10 worksheets
Fraction Sequences involve patterns where terms are fractions. Patterns can be in numerators (arithmetic progression), denominators (arithmetic progression), both, or the fractional value itself. These problems test your ability to find patterns in rational numbers.
Geometric Progression
10 worksheets
Geometric Progression (GP) problems present sequences where each term is obtained by multiplying the previous term by a fixed constant called the common ratio. These problems test your ability to identify multiplicative patterns and extend sequences using the formula aₙ = a₁ × r^(n-1).
Letter Sequences
10 worksheets
Letter Sequences involve patterns in the alphabet where letters progress according to positional shifts (A→B→C→D), skipping patterns (A→C→E→G), reverse order (Z→Y→X→W), or vowel/consonant sequences. These problems test your knowledge of alphabet positions and pattern recognition.
Matrix Or Grid Sequences
10 worksheets
Matrix/Grid Sequences involve patterns within a 2D grid or matrix. Patterns may operate row-wise (each row follows a progression), column-wise, diagonally, or using operations between cells. These problems test your ability to recognize patterns in two dimensions.
Mixed Operations
10 worksheets
Mixed Operations sequences involve applying a sequence of different arithmetic operations to each term to get the next. Common patterns include: ×2, +3, ×2, +3,... or +4, ×2, -1, +4, ×2, -1,... These problems test your ability to recognize and apply multi-step operation patterns.
Number Pyramids
10 worksheets
Number Pyramid problems present numbers arranged in a triangular pyramid where each number is derived from the numbers below it (or above it). Common operations include addition (each cell is sum of the two below) or multiplication. These problems test your ability to work with hierarchical patterns...
Pattern Recognition
10 worksheets
Pattern Recognition problems involve visual sequences of geometric shapes, symbols, or designs. You must identify how elements change (rotation, addition, removal, transformation) and predict the next figure. These problems test visual-spatial reasoning and pattern detection skills.
Polynomial Sequences
10 worksheets
Polynomial Sequences follow quadratic (n²), cubic (n³), or higher-degree polynomial patterns. These sequences have constant second differences (for quadratic) or constant third differences (for cubic). These problems test your ability to identify higher-order patterns.
Prime Numbers
10 worksheets
Sequence Completion Missing Term
10 worksheets
Sequence Completion problems present a sequence with one or more missing terms indicated by a blank or question mark. You must identify the pattern and determine the missing term(s). These problems test your ability to find patterns even when terms are not consecutive.
Square Numbers
10 worksheets
Square Numbers sequences consist of perfect squares: 1², 2², 3², 4², ... (1, 4, 9, 16, 25, ...). Variations may include shifted squares (starting from 2²=4) or square-like patterns (n² ± k). These problems test recognition of quadratic patterns and perfect square values.
Matrix Coding
Binary Matrix
10 worksheets
Binary Matrix problems map letters to 4-bit binary strings (e.g., A=0001, B=0010, C=0011, etc.). Words are encoded by concatenating the binary representation of each letter. These problems test binary number knowledge and bit-level encoding skills.
Coordinate Matrix
10 worksheets
Coordinate Matrix problems map each letter to a pair of coordinates (x,y) in a grid. Words are encoded by listing the coordinates of each letter in order. These problems test positional mapping and coordinate-based encoding skills.
Matrix Arithmetic
10 worksheets
Matrix Arithmetic problems involve performing element-wise operations (addition, subtraction, multiplication) on two matrices of the same dimensions. You must calculate the result matrix by applying the operation to each corresponding pair of elements. These problems test basic arithmetic and matrix...
Matrix Coding Pattern Completion
10 worksheets
Matrix Pattern Completion problems present a 3×3 grid (matrix) of numbers, letters, or symbols with one missing element (typically the bottom-right corner). You must identify the pattern governing the arrangement—either row-wise (each row follows a progression), column-wise (each column follows a pr...
Matrix Decoding
10 worksheets
Matrix Decoding problems present a cipher matrix (grid of symbols) and a coded message (string of symbols). You must decode the message by mapping each symbol back to its corresponding letter using the matrix layout. Letters are typically arranged in row-major order, with each cell containing a uniq...
Matrix Operations
10 worksheets
Matrix Path Coding
10 worksheets
Matrix Path Coding problems involve reading letters from a matrix along a specified path. Common paths include the top row (left to right), bottom row, first column (top to bottom), last column, main diagonal (top-left to bottom-right), and anti-diagonal (top-right to bottom-left). These problems te...
Matrix Position Cipher
10 worksheets
Matrix Position Cipher problems use a 6×6 matrix containing letters A-Z and digits 0-9. Each character is encoded by its row number and column number (0-based or 1-based). Words are encoded by concatenating the position codes of each character. These problems test positional encoding and decoding sk...
Matrix Transformation
10 worksheets
Matrix Transformation problems involve applying geometric transformations to a matrix, such as transpose (swap rows and columns), row reversal (mirror horizontally), column reversal (mirror vertically), and rotations (90°, 180°, 270° clockwise or counter-clockwise). These problems test spatial reaso...
Number Matrix
10 worksheets
Number Matrix problems present a 3×3 matrix of numbers and ask for the sum, product, or other operation on specific elements. Common calculations include sum of main diagonal, sum of anti-diagonal, sum of all corners, sum of middle row or column, and product of diagonal elements. These problems test...
Pattern Matrix
10 worksheets
Pattern Matrix problems use a matrix of symbols (like ★, ♠, ♣, ♥, ♦) arranged in a cyclic pattern. Letters are mapped to matrix positions, and the row index advances sequentially (cycling through rows) as each letter is encoded. These problems test pattern recognition and cyclic encoding skills.
Row Column Matrix
10 worksheets
Row-Column Matrix Coding problems present a grid (typically 5×5) containing letters in row-major order. Each letter is encoded by its row number and column number (e.g., A at row1,col1 → '11'). You must encode words by finding each letter's position and concatenating the coordinates, or decode coord...
Mixed Series
Alphabet Position Series
10 worksheets
Alphabet Position Series problems involve sequences where letters are represented by their position numbers (A=1, B=2, ..., Z=26). The series may alternate between letters and their position numbers, or convert letters to numbers and back. These problems test your knowledge of alphabet positions and...
Arithmetic Vowel Pattern
10 worksheets
Arithmetic-Vowel Pattern problems combine arithmetic number progressions with vowel sequences (A, E, I, O, U). Numbers typically follow an arithmetic progression while vowels follow a pattern (cyclic, reverse, or skip). These problems test your ability to handle two different progression types simul...
Cube Letter Series
10 worksheets
Cube-Letter series alternate between perfect cube numbers and their corresponding alphabet letters (based on the cube root). For example, 1 (1³) and A (1st letter), 8 (2³) and B (2nd letter), 27 (3³) and C (3rd letter). These problems test your knowledge of perfect cubes and alphabet positions.
Double Pattern Series
10 worksheets
Double Pattern series consist of two independent patterns interleaved. One pattern may apply to letters (arithmetic progression, vowel cycle, etc.) while another applies to numbers (arithmetic, geometric, Fibonacci, etc.). These advanced problems test your ability to separate and analyze two differe...
Factorial Vowel Series
10 worksheets
Fibonacci Letter Series
10 worksheets
Fibonacci-Letter Series problems combine the Fibonacci sequence (1, 1, 2, 3, 5, 8, 13, 21, 34, ...) with alphabet letters. Letters correspond to Fibonacci numbers as position numbers, or numbers alternate with letters in a Fibonacci pattern. These problems test your knowledge of Fibonacci numbers an...
Geometric Alphabet Series
10 worksheets
Geometric-Alphabet series combine geometric progressions (numbers multiplied by constant ratio) with alphabet letter progressions (letters advancing by constant step). These advanced problems test your ability to handle two different progression types: multiplicative for numbers and additive for let...
Number Letter Alternating
10 worksheets
Number-Letter Alternating series problems present sequences where numbers and letters occupy alternating positions (e.g., A1, C3, E5, G7). The numbers and letters each follow their own independent pattern. You must identify both patterns and determine the next term in the series.
Power Series With Letters
10 worksheets
Power Series with Letters combine exponential numbers (powers of a base) with corresponding alphabet letters (based on the exponent or the power value). For example, 2¹=2, 2²=4, 2³=8, 2⁴=16, or 3¹=3, 3²=9, 3³=27. These advanced problems test your knowledge of exponents and alphabet positions.
Prime Consonant Series
10 worksheets
Prime-Consonant series alternate between prime numbers and consonant letters. Primes follow the sequence of prime numbers (2,3,5,7,11,13,17...). Consonants are letters that are not vowels (A,E,I,O,U). These problems test your knowledge of prime numbers and consonant identification.
Square Letter Combination
10 worksheets
Square-Letter Combination problems alternate between perfect square numbers and their corresponding alphabet letters (based on the square root). For example, 1 (1²) and A (1st letter), 4 (2²) and B (2nd letter), 9 (3²) and C (3rd letter). These problems test your knowledge of perfect squares and alp...
Number Analogy
Addition Analogy
10 worksheets
Addition Analogy problems involve number pairs where the second number is obtained by adding a fixed constant to the first number. For example, in the pair 5:8, the relationship is 5 + 3 = 8. You must identify the constant and apply it to find the missing number. These problems test basic arithmetic...
Arithmetic Progression Analogy
10 worksheets
Arithmetic Progression Analogy problems involve number pairs where the second number is related to the first through an arithmetic progression (constant difference). Patterns include: A : A+d, A : A+2d, or A : A + f(A). These problems test understanding of arithmetic sequences and patterns.
Digit Sum Analogy
10 worksheets
Digit Sum Analogy problems involve number pairs where the second number is the sum of the digits of the first number. For example, in the pair 45:9 (4+5=9). You may also encounter digital root (repeated sum until single digit) or sum of digits with additional operations. These problems test digit ma...
Division Analogy
10 worksheets
Division Analogy problems involve number pairs where the second number is obtained by dividing the first number by a fixed constant. For example, in the pair 24:6, the relationship is 24 ÷ 4 = 6. You must identify the divisor and apply it to find the missing number. These problems test division skil...
Factorial Analogy
10 worksheets
Factorial Analogy problems involve number pairs where the second number is the factorial of the first number. For example, in the pair 5:120 (5! = 5×4×3×2×1 = 120). You may also encounter factorial of (A+k) or variations. These problems test knowledge of factorial values.
Multiplication Analogy
10 worksheets
Multiplication Analogy problems involve number pairs where the second number is obtained by multiplying the first number by a fixed constant. For example, in the pair 4:12, the relationship is 4 × 3 = 12. You must identify the multiplier and apply it to find the missing number. These problems test m...
Pattern Analogy
10 worksheets
Pattern Analogy problems involve complex relationships that may combine multiple operations (addition, subtraction, multiplication, division, squares, cubes, etc.) in a sequence. Common patterns include Fibonacci-like (add previous two), mixed operations (×2+1, ×3-2), or custom patterns based on pos...
Perfect Square Analogy
10 worksheets
Perfect Square Analogy problems involve number pairs where the second number is a perfect square of the first or related to squares. Common patterns include: A : A², A : (A+1)², A : A² + k, or square root relationships. These problems test knowledge of perfect squares and square roots.
Prime Analogy
10 worksheets
Prime Analogy problems involve number pairs where the second number is derived from the first using prime number properties. Common patterns include: next prime after A, previous prime before A, difference between A and next prime, or the nth prime number. These problems test knowledge of prime numb...
Product Of Digits Analogy
10 worksheets
Product of Digits Analogy problems involve number pairs where the second number is the product of the digits of the first number. For example, in the pair 23:6 (2×3=6). You may also encounter product of digits with additional operations. These problems test digit manipulation and multiplication skil...
Reverse Number Analogy
10 worksheets
Reverse Number Analogy problems involve number pairs where the second number is the reverse of the digits of the first number. For example, in the pair 123:321, the relationship is reversing the digits. You may also encounter reverse then add/subtract patterns. These problems test digit manipulation...
Square Analogy
10 worksheets
Square Analogy problems involve number pairs where the second number is the square of the first number (A : A²). For example, 4:16 (4² = 16). You may also encounter square root relationships (A : √A) or variations like (A² : A³). These problems test knowledge of squares and square roots.
Subtraction Analogy
10 worksheets
Subtraction Analogy problems involve number pairs where the second number is obtained by subtracting a fixed constant from the first number. For example, in the pair 15:11, the relationship is 15 - 4 = 11. You must identify the subtrahend and apply it to find the missing number. These problems test ...
Number Letter Codes
Alternating Coding
10 worksheets
Alternating Coding applies two different coding schemes alternately to letters in a word. For example, the first letter might be encoded using Scheme A (e.g., shift +2), the second using Scheme B (e.g., reverse position), the third using Scheme A again, and so on. These problems test ability to hand...
Ascii Coding
10 worksheets
ASCII Coding replaces each letter with its ASCII (American Standard Code for Information Interchange) value. Uppercase letters A-Z correspond to ASCII values 65-90, while lowercase letters a-z correspond to 97-122. This coding scheme tests knowledge of ASCII values and character encoding.
Basic Letter Number
10 worksheets
Basic Letter-Number Coding replaces each letter with its position in the English alphabet (A=1, B=2, C=3, ..., Z=26). Words become sequences of numbers. Some variations use A=0, B=1, or reverse numbering (A=26, B=25). These foundational problems test your knowledge of alphabet positions and quick co...
Binary Coding
10 worksheets
Binary Coding encodes letters as binary strings. Common schemes include 5-bit binary (A=00001, B=00010, ..., Z=11010) or 8-bit ASCII binary (A=01000001). These problems test knowledge of binary number representation and conversion.
Difference Coding
10 worksheets
Difference Coding codes a word by calculating the differences between consecutive letter positions. For a word with letters at positions p₁, p₂, ..., pₙ, the code is (p₂-p₁), (p₃-p₂), ..., (pₙ-pₙ₋₁). These differences can be positive, negative, or zero.
Digit Sum Coding
10 worksheets
Digit Sum Coding codes a number by repeatedly adding its digits until a single-digit result (digital root) or by summing the digits once. This technique is often applied to position numbers or numeric codes. These problems test digit manipulation and arithmetic skills.
Fibonacci Coding
10 worksheets
Fibonacci Coding maps letters to Fibonacci numbers. The most common scheme assigns: A=1 (1st Fibonacci), B=1 (2nd Fibonacci), C=2 (3rd), D=3 (4th), E=5 (5th), F=8 (6th), and so on. Words become sequences of Fibonacci numbers. These problems test knowledge of the Fibonacci sequence and mapping skills...
Modular Arithmetic
10 worksheets
Modular Arithmetic Coding transforms letter positions using modulo operations (e.g., position mod 5, mod 7, mod 9, mod 10, mod 26). After applying modulo, the result may be a number between 0 and (modulus-1). This coding technique is often combined with other operations.
Odd Or Even Coding
10 worksheets
Odd-Even Coding applies different transformation rules to letters based on their position in the word (1st, 2nd, 3rd, etc.). Letters at odd positions may be transformed one way (e.g., replaced by position numbers), while letters at even positions are transformed differently (e.g., shifted by +1). Th...
Prime Coding
10 worksheets
Prime Coding maps each letter to a prime number. The most common scheme assigns the first prime (2) to A, second prime (3) to B, third prime (5) to C, and so on. Words become sequences of prime numbers. These problems test knowledge of prime numbers and mapping skills.
Product Based Coding
10 worksheets
Product-Based Coding codes a word by multiplying the position numbers of all its letters (A=1, B=2, ..., Z=26). The code is a single number representing the total product. These problems test multiplication skills and factorization.
Reverse Letter Number
10 worksheets
Reverse Letter-Number Coding replaces each letter with its mirror position in the alphabet, where A=26, B=25, C=24, ..., Z=1. This is essentially the Atbash cipher applied to numerical coding. The relationship is: coded position = 27 - original position.
Shift Coding
10 worksheets
Shift Coding (also known as Caesar cipher) shifts each letter by a fixed number of positions forward or backward in the alphabet. For example, a shift of +3 turns A→D, B→E, ..., Z→C. This is one of the simplest and most common coding techniques.
Square Coding
10 worksheets
Square Coding replaces each letter with the square of its position number. A=1²=1, B=2²=4, C=3²=9, ..., Z=26²=676. Words become sequences of square numbers. These problems test knowledge of perfect squares and multiplication skills.
Sum Based Coding
10 worksheets
Sum-Based Coding codes a word by adding the position numbers of all its letters (A=1, B=2, ..., Z=26). The code is a single number representing the total sum. Reverse problems require listing possible letter combinations that sum to a given value.
Vowel Or Consonant Coding
10 worksheets
Vowel-Consonant Coding applies different transformation rules based on whether a letter is a vowel (A, E, I, O, U) or a consonant. Vowels may be replaced by numbers (A=1, E=2, I=3, O=4, U=5), shifted, or replaced with next vowels. Consonants may be shifted forward or backward, replaced by opposite l...
Number Ranking
Ahead Or Behind Count
10 worksheets
Ahead/Behind Count problems ask for the number of persons ahead (before) or behind (after) a person with a given rank. These are the simplest ranking problems, requiring only basic arithmetic. They test your understanding of rank as a position in an ordered list.
Circular Arrangement Ranking
10 worksheets
Circular Arrangement Ranking problems involve persons seated in a circle. Unlike a linear row, there are two paths between any two persons (clockwise and anticlockwise). You must find the minimum number of persons between them, considering both directions. These problems test your spatial reasoning ...
Exam Ranking
10 worksheets
Exam Ranking problems involve converting ranks into percentages or percentiles. Given a student's rank and total number of students, you must find what percentage of students are ahead or behind, or calculate the percentile. These problems test your ability to work with percentages in ranking contex...
Interchange With Unknown
10 worksheets
Interchange with Unknown problems involve two persons swapping positions, but one rank after swap is unknown. You must find the missing rank using the interchange relationship. These problems test your ability to work with incomplete swap information.
Middle Position Non Overlapping
10 worksheets
Non-Overlapping Middle Position problems occur when the ranks of two persons from opposite ends do not overlap (their positions are separate). Given the total persons and the ranks, you can find how many persons are between them. These problems test your ability to handle separate positional relatio...
Middle Position Overlapping
10 worksheets
Middle Position Overlapping problems occur when the ranks of two persons from opposite ends overlap (their positions cross). Given the total persons and the ranks, you can find how many persons are between them. These problems test your ability to handle overlapping positional relationships.
Min Or Max Persons In Row
10 worksheets
Min/Max Persons problems ask for the minimum or maximum possible number of persons in a row given certain rank constraints. These problems test your ability to find bounds and optimize under given conditions. You must consider the worst-case and best-case scenarios for arrangement.
Position From One Side
10 worksheets
Position from One Side problems give the rank of a person from one end (left or right) and ask for the rank from the opposite end. You must use the formula: Rank from Left = Total Persons - Rank from Right + 1, or vice versa. These fundamental problems test your understanding of the relationship bet...
Rank Comparison
10 worksheets
Rank Comparison problems involve comparing the positions of two persons in a ranking list. You must determine who is ahead (has a lower rank number) and how many persons are between them. These problems test your ability to interpret relative positions from absolute ranks.
Rank Interchange Total
10 worksheets
Rank Interchange problems involve two persons swapping positions in a row. After the swap, the rank of one person from one end is given. You must find the total number of persons or the new rank of the other person. These problems test your ability to track positional changes after swapping.
Rank With Group Conditions
10 worksheets
Rank with Group Conditions problems involve ranking lists that contain multiple categories (e.g., boys and girls). Given a person's overall rank and the number of persons from a specific category before them, you must find how many from that category are after them. These problems test your ability ...
Ranking With Ties
10 worksheets
Ranking with Ties problems involve situations where multiple persons share the same rank (e.g., same marks in an exam). You must determine how many students scored more, less, or the same given the tied rank. These problems test your understanding of how ties affect rank interpretation.
Swap With Unknown Total
10 worksheets
Swap with Unknown Total problems give information about two persons after they swap positions, but the total number of persons is unknown. You must find the total using the relationship between original and new ranks. These problems test your ability to work with swap dynamics when total is missing.
Total From Same Side Ranks
10 worksheets
Total from Same-Side Ranks problems give the ranks of two persons from the same end (both from left or both from right) and the rank of one from the opposite end. You must find the total number of persons. These problems test your ability to combine rank information from multiple persons.
Number Series
Alternating Series
10 worksheets
Alternating Series problems use two different operations that alternate between terms. Common patterns include: add then multiply, add then subtract, multiply then add, or alternating between two different constants. These problems test your ability to recognize and handle mixed patterns.
Arithmetic Series
10 worksheets
Arithmetic Series problems present sequences where each term is obtained by adding (or subtracting) a fixed constant called the common difference to the previous term. These foundational problems test your ability to identify linear patterns and extend sequences using the formula aₙ = a₁ + (n-1)d.
Cube Series
10 worksheets
Cube Series problems consist of perfect cubes: 1³=1, 2³=8, 3³=27, 4³=64, 5³=125... Variations may include shifted cubes (starting from 2³=8) or cube-like patterns (n³ ± k). These problems test recognition of cubic patterns and perfect cube values.
Difference Square Series
10 worksheets
Difference Square Series problems involve sequences where the differences between consecutive terms follow a pattern (often arithmetic progression or square pattern). These second-order sequences test your ability to analyze differences rather than the terms themselves.
Exponential Series
10 worksheets
Factorial Series
10 worksheets
Fibonacci Series
10 worksheets
Fibonacci Series problems involve sequences defined by the recurrence relation where each term is the sum of the two preceding terms. The classic Fibonacci sequence starts with 0,1,1,2,3,5,8,13... Variations may use different starting numbers. These problems test your ability to apply recursive addi...
Fraction Series
10 worksheets
Fraction Series problems involve terms that are fractions. Patterns can be in numerators (arithmetic progression), denominators (arithmetic progression), both, or the fractional value itself. These problems test your ability to find patterns in rational numbers.
Geometric Series
10 worksheets
Geometric Series problems present sequences where each term is obtained by multiplying the previous term by a fixed constant called the common ratio. These problems test your ability to identify multiplicative patterns and extend sequences using the formula aₙ = a₁ × r^(n-1).
Multiplication Series
10 worksheets
Multiplication Series problems involve sequences where each term is generated by multiplying the previous term by a constant and then adding (or subtracting) another constant. Common patterns include ×k + c, ×k - c, or ×k + c with varying operations.
Palindromic Series
10 worksheets
Prime Series
10 worksheets
Square Series
10 worksheets
Square Series problems consist of perfect squares: 1², 2², 3², 4², ... (1, 4, 9, 16, 25, ...). Variations may include shifted squares (starting from 2²=4) or square-like patterns (n² ± k). These problems test recognition of quadratic patterns and perfect square values.
Two Step Arithmetic
10 worksheets
Two-Step Arithmetic Series problems involve two interleaved arithmetic progressions. Odd positions follow one AP, even positions follow another. These problems test your ability to separate and analyze two independent linear sequences.
Statement Argument
Argument Strength Evaluation
10 worksheets
Argument Strength Evaluation problems present a statement followed by one or more arguments. You must determine whether each argument is strong (logically valid and relevant) or weak (irrelevant, trivial, or flawed). These problems test your ability to assess the quality of reasoning.
Argument Strengthen Or Weaken
10 worksheets
Argument Strengthen/Weaken problems present an argument and several pieces of additional evidence. You must identify which evidence most strengthens (supports) or weakens (undermines) the argument. These problems test your ability to evaluate how new information affects existing arguments.
Argument Structure Analysis
10 worksheets
Argument Structure Analysis problems require you to break down arguments into their component parts (premises and conclusions) and evaluate logical validity. These problems test your understanding of how arguments are constructed and whether conclusions follow logically from premises.
Counterargument Analysis
10 worksheets
Counterargument Analysis problems present an original argument and several potential counterarguments. You must evaluate which counterargument most effectively challenges the original position. These problems test your ability to think critically about opposing viewpoints and identify the strongest ...
Evidence Quality Assessment
10 worksheets
Evidence Quality Assessment problems present a claim followed by supporting evidence. You must evaluate the quality of the evidence based on factors like source credibility, sample size, relevance, recency, and potential bias. These problems test your ability to critically evaluate supporting inform...
Logical Fallacy Identification
10 worksheets
Logical Fallacy Identification problems present arguments that contain common reasoning errors. You must identify the specific fallacy being committed. These problems test your understanding of logical flaws and your ability to spot faulty reasoning.
Parallel Argument Matching
10 worksheets
Parallel Argument Matching problems present an original argument and several candidate arguments. You must identify which candidate has the SAME logical structure as the original. These problems test your ability to abstract away content and focus on pure logical form.
Rhetorical Strategy Identification
10 worksheets
Rhetorical Strategy Identification problems present persuasive text and ask you to identify the rhetorical techniques used (emotional appeals, analogies, rhetorical questions, repetition, loaded language, etc.). These problems test your understanding of how language is used to persuade.
Statement Assumption
Assumption Negation Test
10 worksheets
Assumption Negation Test problems involve applying the logical technique of negating a candidate assumption to see if it destroys the argument. If the negated statement makes the argument invalid, the original statement is a genuine assumption.
Assumption Validity Check
10 worksheets
Assumption Validity Check problems present a statement along with an assumption. You must determine whether the assumption is valid (logically sound), invalid (logically flawed), or questionable (partially true but with exceptions).
Basic Assumption Identification
10 worksheets
Basic Assumption Identification problems present a statement or argument, and you must identify the underlying assumption(s) that the speaker takes for granted. Assumptions are unstated premises that must be true for the argument to hold logically.
Causal Assumption Critique
10 worksheets
Hidden Premise Identification
10 worksheets
Implicit Assumption Analysis
10 worksheets
Implicit Assumption Analysis problems require identifying assumptions that are deeply embedded in arguments - not just gaps in logic, but underlying beliefs, values, or principles that the speaker takes for granted without stating them explicitly.
Multiple Assumption Analysis
10 worksheets
Necessary Vs Sufficient Assumption
10 worksheets
Necessary vs Sufficient Assumption problems require you to classify assumptions as necessary (must be true for the argument to hold) or sufficient (if true, would guarantee the conclusion). These problems test understanding of logical conditions and their relationships.
Statement Conclusion
Conclusion Strength Ranking
10 worksheets
Conclusion Strength Ranking problems present multiple possible conclusions from given premises. You must rank them from strongest to weakest based on how well the premises support each conclusion. These problems test your ability to evaluate the logical force of different inferences.
Conditional Logic Conclusion
10 worksheets
Conditional Logic Conclusion problems involve 'if-then' statements (conditionals). You must determine what conclusion follows when given one or more conditional statements and a factual premise. These problems test your understanding of logical implication and its valid inference forms.
Contradictory Statement Analysis
10 worksheets
Direct Logical Conclusion
10 worksheets
Direct Logical Conclusion problems present a single statement or two simple statements, followed by conclusions. You must identify which conclusion follows directly from the given information without requiring any additional assumptions or complex reasoning chains.
Must Be True Classification
10 worksheets
Must Be True Classification problems present a set of premises followed by statements that need to be classified as 'Must be true', 'Could be true', or 'Must be false' based on the given information. These problems test your ability to distinguish between necessary, possible, and impossible conclusi...
Probabilistic Conclusion
10 worksheets
Probabilistic Conclusion problems involve statements that express likelihoods, percentages, or tendencies (e.g., 'Most people prefer coffee', '90% of students pass'). You must identify the most reasonable conclusion that follows, recognizing that probabilistic statements allow for exceptions.
Quantitative Set Conclusion
10 worksheets
Syllogistic Conclusion
10 worksheets
Syllogistic Conclusion problems present two or three premises (statements) about categories and ask which conclusion logically follows. These problems test your ability to chain relationships using categorical logic (All, Some, No).
Symbol Coding
Arithmetic Operations
10 worksheets
Arithmetic Operations with Symbols problems replace standard mathematical operators (+, -, ×, ÷) with symbols (@, #, $, %). You must decode the expression and evaluate it following the correct order of operations (BODMAS/PEMDAS). These problems test your ability to interpret symbolic representations...
Basic Symbol Substitution
10 worksheets
Basic Symbol Substitution problems involve a one-to-one mapping where each letter (or digit) is replaced with a specific symbol (@, #, $, %, etc.). You must apply the given mapping to code a word or decode a symbol sequence back to the original word. These problems test your ability to follow simple...
Conditional Symbol Rules
10 worksheets
Conditional Symbol Rules problems involve symbol assignment that depends on conditions such as letter position (even/odd), vowel/consonant status, or other attributes of the input. These problems test your ability to apply context-sensitive coding rules accurately.
Multi Layer Coding
10 worksheets
Multi-Layer Symbol Coding problems apply two or more transformations in sequence. For example, first convert letters to numbers, then numbers to symbols. These problems test your ability to follow multiple steps accurately and combine transformations.
Pattern Based Symbols
10 worksheets
Pattern-Based Symbols problems use repeating, alternating, or sequential patterns to assign symbols to letters. Common patterns include alternating symbols (@,#,@,#...), repeating blocks (@,#,$,@,#,$...), or patterns based on position in the alphabet (A=@, B=#, C=$, etc.). These problems test patter...
Reverse Symbol Decoding
10 worksheets
Reverse Symbol Decoding problems give you the coded symbol sequence and ask you to find the original word. You must determine the mapping rule (possibly from partial information) and then apply it in reverse to decode the given code. These problems test your ability to work backwards and infer codin...
Symbol Matrix
10 worksheets
Symbol Matrix problems present a grid or table that maps letters (or numbers) to symbols. The mapping may be organized in rows and columns, requiring you to locate the correct symbol for each input character. These problems test your ability to read and interpret tabular data for coding purposes.
Word Analogy
Animal Habitat Analogy
10 worksheets
Animal-Habitat Analogy problems involve pairs where one word represents an animal and the other represents its natural home or environment (e.g., Fish : Water). You must identify the animal-habitat relationship in the first pair and apply it to complete the second pair.
Antonym Analogy
10 worksheets
Antonym Analogy problems involve pairs of words that have opposite meanings (e.g., Hot : Cold). You must identify the antonym relationship in the first pair and apply it to complete the second pair. These problems test your vocabulary knowledge and ability to recognize words with opposite meanings.
Category Analogy
10 worksheets
Category Analogy problems involve pairs where one word represents a member (item) and the other represents the category or class it belongs to (e.g., Dog : Animal). You must identify the item-category relationship in the first pair and apply it to complete the second pair.
Cause Effect Analogy
10 worksheets
Cause-Effect Analogy problems involve pairs where one word represents a cause or action and the other represents its effect or result (e.g., Rain : Flood). You must identify the causal relationship in the first pair and apply it to complete the second pair.
Degree Analogy
10 worksheets
Degree Analogy problems involve pairs where the relationship is based on intensity or degree of a quality (e.g., Warm : Hot). The second word is a more intense (or less intense) version of the first. These problems test your understanding of gradation in word meanings.
Function Analogy
10 worksheets
Function Analogy problems involve pairs where one word represents an object or tool and the other represents its function or purpose (e.g., Pen : Write). You must identify the object-function relationship in the first pair and apply it to complete the second pair.
Male Female Analogy
10 worksheets
Male-Female Analogy problems involve pairs where one word represents the masculine form of a living being and the other represents the feminine form (e.g., Lion : Lioness). You must identify the gender relationship in the first pair and apply it to complete the second pair.
Part Whole Analogy
10 worksheets
Part-Whole Analogy problems involve pairs where one word represents a part or component of the other word (e.g., Wheel : Car). You must identify the part-whole relationship in the first pair and apply it to complete the second pair. These problems test your understanding of how objects are composed ...
Product Raw Material Analogy
10 worksheets
Product-Raw Material Analogy problems involve pairs where one word represents a finished product and the other represents the raw material from which it is made (e.g., Paper : Wood). You must identify the product-material relationship in the first pair and apply it to complete the second pair.
Quantity Unit Analogy
10 worksheets
Quantity-Unit Analogy problems involve pairs where one word represents a measurable quantity and the other represents its unit of measurement (e.g., Length : Meter). You must identify the quantity-unit relationship in the first pair and apply it to complete the second pair.
Sequence Analogy
10 worksheets
Sequence Analogy problems involve pairs where the relationship is based on order, time, or developmental progression (e.g., Child : Adult). You must identify the sequential relationship in the first pair and apply it to complete the second pair.
Symbol Meaning Analogy
10 worksheets
Symbol-Meaning Analogy problems involve pairs where one word represents a symbol or emblem and the other represents its associated meaning, quality, or concept (e.g., Dove : Peace). You must identify the symbolic relationship in the first pair and apply it to complete the second pair.
Synonym Analogy
10 worksheets
Synonym Analogy problems involve pairs of words that have the same or nearly the same meaning (e.g., Happy : Joyful). You must identify the synonym relationship in the first pair and apply it to complete the second pair. These problems test your vocabulary knowledge and ability to recognize words wi...
Tool Action Analogy
10 worksheets
Tool-Action Analogy problems involve pairs where one word represents a tool or instrument and the other represents the action performed using that tool (e.g., Pen : Write). These problems test your knowledge of common tools and their primary functions.
Worker Workplace Analogy
10 worksheets
Worker-Workplace Analogy problems involve pairs where one word represents a professional or worker and the other represents their typical workplace (e.g., Teacher : School). You must identify the worker-workplace relationship in the first pair and apply it to complete the second pair.
Young One Analogy
10 worksheets
Young One Analogy problems involve pairs where one word represents an adult animal and the other represents its young offspring (e.g., Cat : Kitten). You must identify the parent-young relationship in the first pair and apply it to complete the second pair.
Word Formation
Anagram Identification
10 worksheets
Cannot Be Formed Advanced
10 worksheets
Cannot Be Formed Odd One Out
10 worksheets
Category Specific Words
10 worksheets
Compound Words Simple
10 worksheets
Cryptic Word Formation
10 worksheets
Cryptic Word Formation problems present clues that involve wordplay, such as 'A flying mammal losing its head' (BAT - 'flying mammal' is BAT, 'losing its head' removes first letter → AT? Actually 'losing its head' means remove first letter, so 'A flying mammal' without first letter is AT? That doesn...
Jumbled Letters Advanced
10 worksheets
Jumbled Letters Basic
10 worksheets
Jumbled Letters Basic problems present a set of 3-4 letters in random order. You must rearrange these letters to form a meaningful English word. These problems test your vocabulary and ability to quickly identify common short words from scrambled letters.
Jumbled Letters Intermediate
10 worksheets
Letter Constraints
10 worksheets
Letter Constraints problems ask you to find a word that satisfies specific conditions, such as starting with a certain letter, ending with a certain letter, and using a given set of letters. These problems test vocabulary and constraint satisfaction.
Letter Shifting Basic
10 worksheets
Letter Shifting Complex Pattern
10 worksheets
Complex Pattern Letter Shifting problems involve different shift amounts for different positions (e.g., +1 for first letter, -1 for second, +1 for third, etc.) or alternating patterns. These problems test advanced pattern recognition and coding skills.
Letter Shifting Standard
10 worksheets
Maximum Length Word
10 worksheets
Maximum Length Word problems present a set of letters and ask for the longest valid English word that can be formed using some or all of those letters (each used at most once). These problems test vocabulary and optimization skills.
Multiple Word Formation
10 worksheets
One Letter Addition
10 worksheets
One Letter Addition Constrained
10 worksheets
Constrained One Letter Addition problems ask you to add exactly one letter to a given word to form a new word that matches a given definition or clue. These problems test vocabulary and word transformation with meaning constraints.
One Letter Deletion
10 worksheets
Prefix Suffix Advanced
10 worksheets
Prefix Suffix Basic
10 worksheets
Word Chains
10 worksheets
Word Families
10 worksheets
Word From Letters Simple
10 worksheets
Word from Letters Simple problems present a set of letters and ask which word can be formed using some or all of those letters. You must check each option to see if all its letters are present in the given set (with sufficient frequency).
Word From Letters Standard
10 worksheets
Word From Word Basic
10 worksheets
Word from Word Basic problems ask you to find which smaller word can be formed using letters from a given larger word. Each letter in the smaller word must appear in the larger word, and you cannot use a letter more times than it appears.
Word From Word Intermediate
10 worksheets
Word Grid Formation
10 worksheets
Logical Reasoning
Age Based Puzzles
Age At Event
10 worksheets
Age Grid
10 worksheets
Age Product Puzzle
10 worksheets
Age Product Puzzles are classic problems where the product of ages is given along with the sum, and additional clues (like 'oldest has red hair') help determine the unique solution. These puzzles test factor analysis and logical elimination.
Average Age Removal
10 worksheets
Average Replacement
10 worksheets
Average Replacement problems involve scenarios where a family member is replaced by another person (often of different age), causing the average age to change. These problems test your understanding of how averages respond to replacements.
Birth Year
10 worksheets
Conditional
10 worksheets
Conditional Age Puzzle
10 worksheets
Cross Age
10 worksheets
Difference Multiple
10 worksheets
Double Or Half
10 worksheets
Eldest Youngest
10 worksheets
Family Average
10 worksheets
Father Son
10 worksheets
Fraction Change Over Time
10 worksheets
Fraction Change Over Time problems involve a fractional relationship between ages that changes over time (e.g., 'A is 1/2 of B now, but will be 2/3 of B after 5 years'). These require solving for present ages using both fraction conditions.
Fractional Ratio
10 worksheets
Future Sum
10 worksheets
Hidden Equation
10 worksheets
Parent Grandparent
10 worksheets
Product Of Ages
10 worksheets
Ratio Chain
10 worksheets
Ratio Change Two Points
10 worksheets
Ratio Future
10 worksheets
Reverse Timeline
10 worksheets
Sum After Years
10 worksheets
Sum And Ratio
10 worksheets
Three Generation
10 worksheets
Tournament Ranking
10 worksheets
Triple Relation
10 worksheets
Twin Link
10 worksheets
Two Clue Chain
10 worksheets
Alphanumeric Series
Alternate Series
10 worksheets
Conditional Jump Series
10 worksheets
Conditional Jump Series problems involve sequences where the step size changes based on position or value. For example, the step might increase by 1 each time (1,2,3,4...) or follow a pattern like primes. These problems test advanced pattern recognition.
Embedded Logic Alphanumeric
10 worksheets
Embedded Logic Alphanumeric Series problems have patterns that are not immediately obvious. The rule may depend on multiple factors (position, previous term, or external conditions). These problems test deep analytical and pattern recognition skills.
Find Wrong Term Series
10 worksheets
Find Wrong Term in Alphanumeric Series problems present a sequence where one term does NOT follow the established pattern. You must identify which term breaks the rule. These problems test your ability to detect inconsistencies in patterns.
Grouped Symbol Or Character Series
10 worksheets
Grouped Symbol/Character Series problems involve terms that contain letters, numbers, AND symbols (e.g., @, #, $, %). Each component type may follow its own pattern. These problems test advanced multi-component pattern recognition.
Hybrid Multi Rule Series
10 worksheets
Hybrid Multi-Rule Series problems combine multiple pattern types within the same sequence. For example, letters might follow an arithmetic progression while numbers follow a geometric progression. These problems test advanced pattern recognition across different rule types.
Math Transform Series
10 worksheets
Math Transform Series problems involve terms where numbers are derived from letters (or vice versa) using mathematical operations. For example, the number might be the square of the letter's position. These problems test your ability to detect functional relationships.
Missing Term Series
10 worksheets
Missing Term in Alphanumeric Series problems present a sequence with one or more missing terms (usually indicated by '?'). You must identify the pattern and determine the missing term. These problems test your pattern recognition and extrapolation skills.
Modular Arithmetic Series
10 worksheets
Multi Skip Double Encoding
10 worksheets
Multi-Skip Double Encoding problems involve sequences where each term is encoded through multiple transformations (e.g., letter positions are skipped, then numbers are transformed). These problems test advanced decoding and pattern recognition skills.
Negative Reverse Crossref
10 worksheets
Negative Reverse Crossref problems involve sequences where terms refer to other terms in reverse order or with negative indexing (e.g., 'the term that is 2 positions before the term with digit 3'). These problems test advanced sequence navigation and cross-referencing skills.
Next Group Series
10 worksheets
Next Group Series problems present sequences where each term is a group of multiple characters (e.g., 'AB12', 'CD34', 'EF56'). You must identify the pattern across groups and find the next group. These problems test complex pattern recognition.
Next Term Series
10 worksheets
Next Term in Alphanumeric Series problems present a sequence of terms (each term containing letters and numbers) and ask you to find the term that comes next. These problems test your ability to identify and extend patterns involving both alphabetical and numerical progressions.
Palindromic Series
10 worksheets
Pattern Updown Series
10 worksheets
Pattern UpDown Series problems involve sequences where letters and numbers move in opposite directions (e.g., letters increase while numbers decrease, or vice versa). These problems test your ability to handle opposing trends simultaneously.
Position Special Series
10 worksheets
Position Special Series problems involve terms that are generated based on their position number (1st, 2nd, 3rd...). For example, the nth term might be the nth letter followed by n². These problems test your ability to derive and apply position-based formulas.
Relative Or Positional Mcq
10 worksheets
Relative Positional MCQ problems present a sequence and ask questions about the position of terms relative to each other (e.g., 'Which term is 3 places after the term containing digit 5?'). These problems test your ability to navigate sequences and understand positional relationships.
Reverse Pattern Series
10 worksheets
Assumptions Conclusions
Assumption Reasoning
10 worksheets
Assumption-Reasoning problems present a statement or argument followed by two assumptions. You must determine which assumption(s) are implicit (assumed by the speaker) in the statement. These problems test your ability to identify unstated premises that are necessary for the argument to hold.
Assumption Strength
10 worksheets
Assumption Strength problems present a policy statement or argument followed by two assumptions. You must evaluate the strength of each assumption in supporting or relating to the argument. These problems test your ability to distinguish between logically strong (relevant and necessary) and weak (ir...
Statement Conclusions
10 worksheets
Statement-Conclusions problems present one or more statements followed by two or more conclusions. You must determine which conclusion(s) logically follow from the given statements without any additional assumptions. These problems test your deductive reasoning and understanding of logical implicati...
Binary Logic
Alternator Identification
10 worksheets
Alternator Identification problems introduce a third type of person: an Alternator, who alternates between telling the truth and lying with each statement (or over time). You must identify the alternator among truth-tellers and liars based on their statements.
Coded Binary Logic
10 worksheets
Competition Setting Claims
10 worksheets
Competition Setting Claims problems involve contestants making statements about the results of a competition (who came first, who won, etc.). Some contestants are truth-tellers, some are liars. You must deduce the actual ranking or result.
Conditional Logic Puzzle
10 worksheets
Conditional Logic Puzzles involve statements with 'if-then' structures (e.g., 'If A is a truth-teller, then B is a liar'). These puzzles require understanding of logical implication and its contrapositive to deduce consistent assignments.
Day Based Alternator
10 worksheets
Day-Based Alternator problems involve a person who tells the truth on certain days of the week and lies on others. You are given a statement made on a specific day and must determine if it's a truth or a lie, or deduce the person's type.
Family Binary Relations
10 worksheets
Family Binary Relations problems combine binary logic with family relationships (father, mother, son, daughter, etc.). Persons make statements about family relationships and their truth-telling types. These puzzles test both logical deduction and understanding of familial terms.
Guilty Or Location Deduction
10 worksheets
Hypothetical Count Change
10 worksheets
Hypothetical Count Change problems ask: 'If we assume a certain person is a truth-teller (or liar) instead of their actual type, how many truth-tellers would there be?' These puzzles test counterfactual reasoning and logical deduction.
Minimum Liars Count
10 worksheets
Minimum Liars Count problems present a set of statements and ask for the smallest possible number of liars (or maximum number of truth-tellers) consistent with all statements. These puzzles test optimization and constraint satisfaction.
Mixed Group Complex
10 worksheets
Mixed Group Complex problems involve three or more types of people: Truth-tellers (always truthful), Liars (always lie), and Alternators (alternate between truth and lies). Some puzzles may include Normals (can lie or tell truth arbitrarily). These are the most complex binary logic puzzles.
Self Referential Logic
10 worksheets
Single Truth Teller Basic
10 worksheets
Single Truth Teller Basic problems involve one person making a statement about themselves or another person. You must determine if the speaker is a Truth-teller (always tells the truth) or a Liar (always lies). These puzzles form the foundation of binary logic.
Statement Consistency Check
10 worksheets
Temporal Alternation Sequence
10 worksheets
Three Person Knights Knaves
10 worksheets
Three-Person Knights and Knaves problems involve three individuals (Knights=Truth-tellers, Knaves=Liars). They make statements about each other or about the group. These puzzles require systematic case analysis to determine each person's type.
Truth Value Assignment Hard
10 worksheets
Hard Truth Value Assignment problems involve 4 or more persons making complex statements, often with quantifiers (e.g., 'Exactly two of us are truth-tellers'). These puzzles require systematic truth table analysis or algebraic formulation to determine each person's type.
Two Person Accusation
10 worksheets
Two-Person Accusation problems involve two individuals where each makes a statement about the other's type (e.g., 'A says: B is a liar' and 'B says: A is a truth-teller'). Solving requires checking for logical consistency between their statements.
Blood Relation Puzzles
Age Clue Relations
10 worksheets
Age Clue Relations problems combine family relationships with age information. Statements like 'A is older than B' or 'C was born after D' provide additional clues to determine relationships, especially when direct relationship statements are ambiguous. These problems test your ability to integrate ...
Ambiguity Puzzle
10 worksheets
Ambiguity Puzzles present blood relation problems where the given information is insufficient to determine a unique relationship. Multiple relationships are possible, or gender cannot be determined. These problems test your ability to recognize when information is incomplete and when answers like 'C...
Cousin Relationships
10 worksheets
Cousin Relationships problems involve identifying relationships between children of siblings. First cousins share grandparents. These problems test your understanding of extended family relationships and the ability to trace connections through multiple generations.
Data Sufficiency Puzzle
10 worksheets
Data Sufficiency puzzles present a question about a blood relation followed by two statements. You must determine whether each statement alone, or both together, provide sufficient information to answer the question uniquely. These problems test your ability to evaluate information completeness with...
Edge Case Family Puzzle
10 worksheets
Edge Case Family puzzles involve non-traditional family structures including adoption, step-relations, guardianship, foster care, and same-sex parent families. These problems test your understanding that family relationships can be formed through legal means (adoption, marriage) as well as biologica...
Family Counting
10 worksheets
Family Counting problems require you to determine the number of males, females, or total members in a family based on given relationship statements. These problems test your ability to build a family tree and count individuals without duplication.
Generation Gap Puzzle
10 worksheets
Generation Gap puzzles involve determining the number of generations between two persons or identifying relationships across multiple generations (e.g., great-grandparent, great-grandchild, great-aunt). These problems test your understanding of generational hierarchy in family trees.
Indirect Statement
10 worksheets
Indirect Statement problems present relationships using possessive constructions like 'A's mother is B's daughter' instead of direct statements like 'A is the brother of B'. You must decode these indirect phrasings to find the relationship between persons. These problems test your ability to parse c...
Mixed Gender Relations
10 worksheets
Mixed Gender Relations problems involve relationships where gender-specific terms (like father, mother, brother, sister) provide clues about the gender of individuals. These problems test your ability to track gender information through relationship chains and handle cases where gender is not specif...
Multiple Wives Structure
10 worksheets
Multiple Wives Structure problems involve families with one person married to multiple spouses. These create half-sibling relationships (children sharing only one parent) and complex in-law relationships. These problems test your ability to handle non-traditional family structures.
Negative Elimination Puzzle
10 worksheets
Negative Elimination puzzles use 'not' statements (e.g., 'A is not the father of B', 'C is not the sister of D') to eliminate possibilities and deduce the correct relationship. These problems test your ability to use exclusion logic and process of elimination in family relationships.
Passage Puzzle
10 worksheets
Passage Puzzles present a descriptive passage about a family, followed by 3-5 questions about various relationships within that family. You must read the passage carefully, build the family tree, and answer multiple questions. These problems test comprehensive reading and systematic family tree cons...
Quantitative Counting Puzzle
10 worksheets
Quantitative Counting puzzles involve counting the number of family members, males, females, generations, or specific relationships based on given constraints. These problems test your ability to use quantitative information (like 'there are 5 females' or '3 generations') alongside relationship stat...
Reverse Relation
10 worksheets
Reverse Relation problems present a relationship in one direction and ask for the relationship in the opposite direction. For example, 'A is the father of B' and you must find what B is to A. These problems test your understanding of reciprocal family relationships.
Simple Direct Relation
10 worksheets
Simple Direct Relation problems present straightforward family relationships between two individuals. You need to identify the relation based on a single statement like 'A is the father of B' or 'C is the sister of D'. These problems test your basic understanding of family relationship terminology a...
Table Deduction Puzzle
10 worksheets
Table Deduction Puzzles combine blood relation problems with tabular data. You are given a grid or table with family members and attributes (like professions, ages, or positions), and must deduce relationships using both the table data and relationship statements. These problems test integrated logi...
Three Step Complex Chain
10 worksheets
Three Step Complex Chain problems involve connecting three or more relationships to find the relationship between two persons. These problems require chaining multiple relationships (e.g., 'A is father of B', 'B is brother of C', 'C is mother of D' - find relation between A and D). These problems te...
Twin Relation
10 worksheets
Twin Relation problems involve twins - two children born from the same pregnancy. Twins have identical ages and share the same parents. These problems test your understanding of special sibling relationships where age equality provides additional clues for solving puzzles.
Two Step Chain
10 worksheets
Two Step Chain problems involve connecting two relationships to find the relationship between two persons who are not directly connected. For example, 'A is the father of B' and 'B is the brother of C' - you need to find the relationship between A and C. These problems test your ability to chain rel...
Box Stack Puzzles
Box Color Multi Parameter
10 worksheets
Box-Color Multi-Parameter problems involve boxes that have both a box identifier (letter/number) and a color attribute. You must arrange both attributes correctly in a vertical stack using given constraints about positions, colors, and box-color relationships.
Box Size Comparison
10 worksheets
Complex Conditional Stack
10 worksheets
Empty Position Stack
10 worksheets
Empty Position Stack problems involve a vertical stack where some positions are empty (no box). You must arrange a smaller number of boxes in a larger number of positions, using constraints about which positions are empty and relationships between boxes.
Empty Slot Or Gap Stack
10 worksheets
Family Box Puzzle
10 worksheets
Family Box Puzzles combine family relationships (generations, parent-child) with stack arrangements. You must arrange boxes representing family members in stacks respecting both stacking constraints and generational relationships.
Horizontal Shelf Arrangement
10 worksheets
Horizontal Shelf Arrangement problems involve arranging items on a shelf from left to right (or right to left). These are linear arrangement puzzles similar to vertical stacks but with horizontal orientation and different directional terminology.
Inequality Parameter Deduction
10 worksheets
Inequality Parameter Deduction problems combine weight comparisons with numerical weight values (e.g., weights from a given set). You must deduce exact weights of boxes using inequalities and the stacking rule (heavier below lighter).
Mathematical Position Stack
10 worksheets
Mathematical Position Stack problems involve constraints that use arithmetic operations on box positions (e.g., 'The product of positions of boxes C and D is 12', 'Box E is at a prime-numbered position'). These puzzles test arithmetic reasoning and number theory applied to stacking.
Multi Stack Arrangement
10 worksheets
Multi-Stack Arrangement problems involve two or more vertical stacks with relationships between boxes in different stacks (e.g., 'Box X in Stack A is at the same position as Box Y in Stack B'). These puzzles test your ability to coordinate multiple parallel arrangements.
Multi Stack Inter Shelf
10 worksheets
Multi-Stack Inter-Shelf problems involve three or more vertical stacks (or shelves) with boxes distributed among them. Constraints may involve cross-stack positional relationships, sums of positions, and complex interconnections. These are among the most complex box/stack puzzles.
Rack System Arrangement
10 worksheets
Rack System Arrangement problems involve boxes placed in a rack with multiple rows and columns (e.g., 2 rows × 3 columns). Each box has both a row and column position. These puzzles test spatial reasoning and 2D arrangement skills.
Single Stack Basic
10 worksheets
Single Stack Basic problems involve arranging a fixed set of boxes in a single vertical stack (bottom to top or top to bottom). You are given direct positional clues (e.g., 'Box X is at position 3') and immediate neighbor relationships (e.g., 'Box A is immediately above Box B'). These foundational p...
Single Stack Position Gap
10 worksheets
Single Stack Position Gap problems involve arranging boxes in a vertical stack where constraints specify exact gaps between boxes (e.g., 'Box P is 3 positions above Box Q'). These puzzles require counting and arithmetic reasoning to determine exact positions.
Stack To Circular Hybrid
10 worksheets
Stack-to-Circular Hybrid problems involve a two-step mapping: first, boxes are arranged in a vertical stack, then the box at stack position n is placed at seat position n in a circular arrangement. You must use constraints about both the stack and the circle to determine arrangements.
Temporal Box Movement
10 worksheets
Top Bottom Numbering
10 worksheets
Weight Comparison Stack
10 worksheets
Weight Comparison Stack problems involve arranging boxes in a vertical stack where heavier boxes must be below lighter boxes, along with additional inequality constraints (e.g., 'Box A is heavier than Box B but lighter than Box C'). These puzzles test understanding of transitive inequalities and ord...
Calendar Problems
Age Calculation
10 worksheets
Birthday Weekday
10 worksheets
Birthday Weekday problems ask for the day of the week on which a person's birthday falls in a given year, often compared to another year. These problems test your ability to calculate day shifts across years considering leap years.
Calendar Coding Or Decoding
10 worksheets
Calendar Coding/Decoding problems present days of the week represented by codes (numbers, symbols, or other words). You must decode the code or find the day for a given code. These problems test your ability to apply coding rules to calendar concepts.
Calendar Patterns
10 worksheets
Calendar Patterns problems ask when a calendar for a given year will repeat. The same calendar repeats when January 1 falls on the same day of week AND the year has the same leap status (leap or non-leap). These problems test your understanding of calendar cycles.
Century End Day
10 worksheets
Century Problems
10 worksheets
Date Difference
10 worksheets
Day After Or Before
10 worksheets
Day Between Dates
10 worksheets
Day Without Reference
10 worksheets
Day Without Reference problems ask for the day of week of a date without providing a reference date. You must use formulas like Zeller's congruence or the odd days method with a known anchor (e.g., Jan 1, 0001 was Monday) to calculate directly.
Days In Month
10 worksheets
Festival Or Holiday Date
10 worksheets
Festival and Holiday Date problems ask for the date of a specific festival or holiday in a given year. Some festivals have fixed dates (Christmas, New Year), while others are movable (Easter, Thanksgiving). These problems test knowledge of how festival dates are determined.
Leap Year Check
10 worksheets
Multi Calendar Or Fiscal Year
10 worksheets
Multi-Calendar and Fiscal Year problems involve different calendar systems (e.g., Gregorian calendar, fiscal year) and require converting dates or determining fiscal year periods. These problems test understanding of non-standard calendar periods.
Odd Days Calculation
10 worksheets
Odd Days Calculation problems ask for the total number of odd days over a period of years, centuries, or between two dates. This is a more advanced version of odd days concept, often used to find the day of week without a reference date.
Odd Days Classic
10 worksheets
Classic Odd Days problems ask for the number of 'odd days' between two dates. An odd day is the remainder when total days are divided by 7. This concept is fundamental to calendar reasoning, especially for finding weekdays without reference dates.
Odd Or Even Dates
10 worksheets
Odd/Even Dates problems ask you to count the number of odd-numbered dates (1, 3, 5, etc.) or even-numbered dates (2, 4, 6, etc.) in a given month or year. These problems test your understanding of number patterns in calendar dates.
Recurring Patterns
10 worksheets
Recurring Patterns problems ask when a particular date (e.g., December 25) will fall on the same day of the week as it does in a given year. These problems test your understanding of the 28-year cycle and how dates shift across years.
Same Calendar Year
10 worksheets
Simple Day Finding
10 worksheets
Simple Day Finding problems require determining the day of the week for a given date. You may be given a reference date with its weekday, or you may need to calculate directly using calendar formulas. These problems test your understanding of the 7-day weekly cycle and date arithmetic.
Specific Weekday Occurrence
10 worksheets
Specific Weekday Occurrence problems ask for the date of a particular occurrence of a weekday in a month (e.g., 'the 3rd Tuesday of May' or 'the last Friday of December'). These problems test your ability to navigate calendar positions.
Total Weekends In Year
10 worksheets
Visual Calendar Reasoning
10 worksheets
Visual Calendar Reasoning problems present a calendar grid (month view) and ask questions about dates, weekdays, or patterns within that grid. These problems test your ability to interpret visual calendar data and identify patterns.
Week Number Calculation
10 worksheets
Week Number Calculation problems ask for the ISO week number of a given date. The ISO week date system defines weeks starting on Monday, with week 1 being the week containing the first Thursday of the year. These problems test understanding of the ISO week numbering system.
Weekday Count
10 worksheets
Weekday Count problems ask how many times a specific weekday (e.g., Monday, Sunday) occurs in a given month or year. These problems test your understanding of how weekdays distribute across months and the pattern of 4 or 5 occurrences.
Xth Weekday Finder
10 worksheets
Clock Problems
Angle Between Hands
10 worksheets
Clock Gains Loses
10 worksheets
Clock Gains/Loses problems involve clocks that run fast (gain time) or slow (lose time) at a certain rate. You must calculate the actual time when the clock shows a given time, or find how much the clock will gain/lose over a period.
Clock Wrong Time
10 worksheets
Hands Overlap Time
10 worksheets
Mirror Image Time
10 worksheets
Mirror Image Time problems ask for the time shown on a clock when viewed in a horizontal mirror (left-right reflection). The mirror reverses the positions of the hour and minute hands, creating a time that is the complement of the actual time.
Opposite Directions
10 worksheets
Opposite Directions problems ask for the times when the hour and minute hands point in exactly opposite directions (form a straight line but pointing away from each other, 180° apart). These problems are a special case of the specific angle problems with θ = 180°.
Right Angle Hands
10 worksheets
Time After Minutes
10 worksheets
Time After Minutes problems ask you to find the time after adding or subtracting a given number of minutes from a given starting time. These problems test your ability to perform time arithmetic and handle overflow across hour boundaries.
Time For Specific Angle
10 worksheets
Water Image Time
10 worksheets
Water Image Time problems ask for the time shown on a clock when viewed in water (vertical mirror reflection). Unlike a horizontal mirror (left-right), a water image flips the clock vertically (top-bottom). These problems test advanced spatial reasoning.
Coding Inequalities
Basic Symbol Inequality
10 worksheets
Basic Symbol Inequality problems present mathematical inequalities using coded symbols (e.g., @ means >, # means <, $ means =). You must decode the symbols, understand the relationship between variables, and determine which conclusions logically follow from the given statement. These problems test y...
Chain Inequalities
10 worksheets
Chain Inequalities problems present a single coded statement connecting 3 to 5 variables in a sequence (e.g., A @ B # C % D). You must decode the chain, understand the relationships between consecutive variables, and determine which conclusions about non-consecutive variables follow using the transi...
Complex Mixed Symbols
10 worksheets
Complex Mixed Symbols problems involve statements that contain multiple types of inequality symbols including strict inequalities (>, <), equalities (=), and inclusive inequalities (≥, ≤, ≠). These problems test your ability to handle all types of relational operators in a single coded statement.
Either Or Logic
10 worksheets
Either-Or Logic problems present two conclusions that are complementary - exactly one of them must be true based on the given statements. Common complementary pairs include (A > C, A ≤ C), (A < C, A ≥ C), (A = C, A ≠ C). These problems test your ability to recognize when two conclusions together cov...
Multiple Statements
10 worksheets
Multiple Statements problems present 2 or 3 independent coded inequality statements. These statements may share common variables, allowing you to combine information across statements. You must determine which conclusions logically follow from the combined information.
Transitive Relations
10 worksheets
Transitive Relations problems focus specifically on applying the transitive property of inequalities. Given a chain of relationships, you must determine which non-adjacent pairs have a definite relationship based on transitivity. These problems test your understanding of when and how transitivity ap...
Course Of Action
Action Sequencing
10 worksheets
Administrative Policy Basic
10 worksheets
Administrative Policy problems present scenarios involving government policy challenges (price rises, infrastructure issues, education problems, etc.). You must evaluate proposed administrative actions for their feasibility, effectiveness, and appropriateness.
Complex Crisis Management
10 worksheets
Complex Crisis problems present scenarios with multiple interconnected challenges (pandemic economics, supply chain ethics, etc.). You must evaluate actions that balance competing priorities and address multiple dimensions simultaneously.
Crisis Management
10 worksheets
Economic Crisis Advanced
10 worksheets
Economic Crisis problems present scenarios involving recession, banking crises, capital flight, and financial instability. You must evaluate proposed economic policy actions for their effectiveness, feasibility, and economic impact.
Environmental Issues
10 worksheets
Environmental Issues problems present scenarios involving pollution (air, water, land), climate change, and ecological degradation. You must evaluate proposed courses of action for their effectiveness, feasibility, and environmental impact.
Ethical Dilemmas Advanced
10 worksheets
Law Enforcement
10 worksheets
Law Enforcement problems present scenarios involving crime (cybercrime, drug trafficking, theft, violence) and public safety threats. You must evaluate proposed enforcement actions for their effectiveness, legality, and practicality.
Moral Hazard Dilemma
10 worksheets
Moral Hazard Dilemma problems present scenarios where bailing out a failing institution prevents systemic collapse but encourages future risk-taking. You must evaluate actions that balance systemic stability with accountability and reform.
Organizational Strategy
10 worksheets
Organizational Strategy problems present business scenarios involving competition, declining sales, employee turnover, and market challenges. You must evaluate proposed strategic actions for their effectiveness and sustainability.
Policy Reform Advanced
10 worksheets
Public Health Crisis Basic
10 worksheets
Public Health Crisis problems present scenarios involving disease outbreaks (dengue, malaria, COVID-19, etc.) and ask you to evaluate proposed courses of action. You must identify immediate, practical, and effective responses while rejecting extreme or impractical measures.
Resource Management Advanced
10 worksheets
Resource Management problems present scenarios involving scarcity of essential resources (water, medical staff, energy, etc.). You must evaluate proposed actions for their feasibility, effectiveness, and sustainability in resource-constrained situations.
Social Issues
10 worksheets
Social Issues problems present scenarios involving unemployment, crime against vulnerable groups, social unrest, and public safety concerns. You must evaluate proposed courses of action for their effectiveness, ethics, and social impact.
Workplace Issues Basic
10 worksheets
Workplace Issues problems present scenarios involving employee productivity, customer service, workplace morale, and organizational challenges. You must evaluate proposed management actions for their effectiveness and appropriateness.
Data Sufficiency
Absolute Values
10 worksheets
Absolute Values Data Sufficiency problems test your ability to determine if given statements provide enough information about modulus equations or inequalities. You must assess sufficiency using the definition |x| = distance from zero, considering both positive and negative cases.
Age Problems
10 worksheets
Age Problems Data Sufficiency involve determining sufficiency for questions about people's ages. Statements often describe relationships between ages at different times (past, present, future). You must assess if the given statements uniquely determine the required age or relationship.
Algebraic Equations Basic
10 worksheets
Algebraic Equations Basic problems test whether you can determine the value of a variable or solve an equation using given statements. These foundational problems involve simple linear equations, basic quadratics, and direct arithmetic operations. You must assess if statement (1) alone, statement (2...
Averages And Mixtures
10 worksheets
Averages and Mixtures Data Sufficiency problems test your ability to determine if given statements provide enough information to find average values, mixture ratios, or quantities in blends. You must assess sufficiency using weighted average formulas and alligation methods.
Data Interpretation
10 worksheets
Data Interpretation Data Sufficiency problems present data in charts, tables, or graphs along with statements. You must determine if the statements provide enough information to answer the question about the data. These problems test data extraction and sufficiency reasoning.
Geometry Circles
10 worksheets
Circle Geometry Data Sufficiency problems test your ability to determine if given statements provide enough information to find circle properties like area, circumference, radius, diameter, chord length, or arc length. You must assess sufficiency using circle theorems and formulas.
Geometry Triangles
10 worksheets
Triangle Geometry Data Sufficiency problems test your ability to determine if given statements provide enough information to find triangle properties like area, perimeter, angles, or side lengths. You must assess sufficiency using triangle theorems (Pythagorean, similarity, congruence).
Inequalities
10 worksheets
Inequalities Data Sufficiency problems test your ability to determine if given statements provide enough information to compare values, determine ranges, or analyze signs. You must assess sufficiency using inequality rules, number line concepts, and logical deduction.
Linear Equations Two Variables
10 worksheets
Linear Equations with Two Variables Data Sufficiency problems test your ability to determine if given statements provide enough information to solve for two unknowns. You must assess whether each statement alone or together yields a unique solution for the variables.
Number Properties
10 worksheets
Number Properties Data Sufficiency problems test your ability to determine if given statements provide enough information about integer properties like divisibility, parity (even/odd), primality, and factors. You must assess sufficiency using number theory rules and logical deduction.
Percentage Problems
10 worksheets
Percentage Problems Data Sufficiency involve determining sufficiency for questions about percentages, profit/loss, discounts, and percentage changes. You must assess if statements provide enough information to calculate the required percentage or value.
Permutation And Combination
10 worksheets
Permutation and Combination Data Sufficiency problems test your ability to determine if given statements provide enough information to count arrangements, selections, or combinatorial possibilities. You must assess sufficiency using factorial formulas and combinatorial reasoning.
Profit And Loss
10 worksheets
Profit and Loss Data Sufficiency problems test your ability to determine if given statements provide enough information to find cost price, selling price, profit percentage, loss percentage, or discount. You must assess sufficiency using profit/loss formulas and discount relationships.
Quadratic Equations
10 worksheets
Quadratic Equations Data Sufficiency problems test your ability to determine if given statements provide enough information to find the value of a variable, the nature of roots, or the quadratic expression itself. You must assess sufficiency considering that quadratics typically yield two possible v...
Speed Distance Time
10 worksheets
Speed, Distance, Time Data Sufficiency problems test your ability to determine if given statements provide enough information to find speed, distance, or time. You must assess sufficiency using the formula Distance = Speed × Time and its variations.
Work And Time
10 worksheets
Work and Time Data Sufficiency problems test your ability to determine if given statements provide enough information to find time to complete work, individual rates, or combined efficiency. You must assess sufficiency using the work rate formula: Work = Rate × Time.
Decision Making
Decision Criteria Identification
10 worksheets
Decision Criteria Identification problems present a scenario with multiple decision factors and ask you to identify the most important criterion for making the optimal choice. These problems test your ability to prioritize competing considerations and recognize which factor should drive the decision...
Emergency Crisis Decisions
10 worksheets
Emergency Crisis Decisions problems present time-critical scenarios where you must make quick decisions with limited information, often under severe pressure. These problems test rapid assessment, prioritization, and decisive action under uncertainty. They simulate real-world crisis management situa...
Multi Criteria Decision Matrix
10 worksheets
Multi-Criteria Decision Matrix problems present multiple options evaluated against several criteria with different weights. You must calculate weighted scores to determine the best option. These problems test systematic evaluation and quantitative decision-making skills.
Opportunity Cost Analysis
10 worksheets
Opportunity Cost Analysis problems require you to evaluate the true cost of a decision by considering the value of the next best alternative foregone. These problems test your ability to identify and quantify trade-offs in resource allocation decisions.
Risk Assessment Decisions
10 worksheets
Risk Assessment Decisions problems involve evaluating options under uncertainty. You must consider probabilities of different outcomes, potential losses, and risk tolerance to determine the optimal choice. These problems test probabilistic reasoning and risk management skills.
Sequential Decision Trees
10 worksheets
Sequential Decision Trees problems involve decisions that unfold over multiple stages, where outcomes at each stage affect subsequent choices. You must calculate expected values at each decision node to determine the optimal strategy. These problems test probabilistic reasoning and multi-stage optim...
Stakeholder Impact Analysis
10 worksheets
Stakeholder Impact Analysis problems require evaluating decisions by considering how they affect all parties involved (customers, employees, shareholders, community, etc.). You must balance competing interests and identify the most ethical and practical approach. These problems test ethical reasonin...
Floor Puzzles
Advanced Patterns Circular Floor Reference
10 worksheets
Circular Floor Reference puzzles treat floors as arranged in a circle rather than a linear vertical stack. Positions are defined cyclically, with diametrically opposite floors (floor i opposite floor i + N/2) and adjacent floors (neighbors in the circle). These puzzles test advanced spatial reasonin...
Ambiguous Information Cannot Be Determined
10 worksheets
Ambiguous Floor Puzzles present scenarios where the given information is insufficient to determine a unique arrangement. Multiple valid arrangements satisfy all clues, and the answer may be 'Cannot be determined'. These problems test your ability to recognize when information is incomplete and when ...
Basic Single Building Direct Clues
10 worksheets
Basic Single Building Floor Puzzles involve arranging a fixed number of people on different floors of a single building (typically floors 1 to N, where 1 is the lowest/bottom and N is the highest/top). You are given direct placement clues, immediate above/below relationships, simple comparative stat...
Comparative Floor Gaps Distance Relationships
10 worksheets
Comparative Floor Gaps problems involve arranging people on different floors with specific distance constraints between them. Common constraints include 'exactly one floor between' (gap of 2 floors), 'exactly two floors between' (gap of 3 floors), and other distance relationships. These puzzles test...
Complex Negation And Exclusion
10 worksheets
Complex Negation and Exclusion puzzles involve negative constraints like 'Neither X nor Y lives on an odd floor' or 'A does not live on floor 1, 3, or 5'. These exclusion constraints eliminate multiple possibilities and require careful tracking of what is not allowed.
Complex Scenarios Vacant Floors
10 worksheets
Vacant Floors puzzles involve a building where some floors have no occupants. The number of people is less than the total number of floors. You must determine which floors are vacant while arranging the people on the occupied floors using gap constraints that count empty floors as entities between p...
Conditional Floor Statements If Then Logic
10 worksheets
Conditional Floor Statements puzzles involve if-then constraints like 'If A lives on an even floor, then B lives on floor 4'. These conditionals require case analysis and logical deduction to determine valid arrangements. You must consider both the antecedent true and false cases to find consistent ...
Constrained Floor Puzzle Multiple Restrictions
10 worksheets
Constrained Floor Puzzles involve multiple types of restrictions simultaneously: direct floor assignments, immediate above/below, gap constraints, even/odd floors, negative constraints (does not live on), and comparative statements. These puzzles test your ability to handle diverse constraint types ...
Family Floor Arrangements Relationship Based
10 worksheets
Family Floor Arrangements puzzles combine family relationship clues (Father, Mother, Son, Daughter, Uncle, Aunt, etc.) with floor assignment constraints. Relationships like 'Father and Mother live on adjacent floors' or 'Son lives exactly two floors above Daughter' add family-based constraints to th...
Mathematical Floor Operations
10 worksheets
Mathematical Floor Operations puzzles involve arithmetic relationships between floor numbers, such as sums, products, or differences. For example, 'The sum of floor numbers of X and Y is 8' or 'The product of floor numbers of P and Q is 12'. These puzzles test arithmetic reasoning applied to floor a...
Mixed Numbering Systems G And Vs 1 And Floors
10 worksheets
Mixed Numbering Systems puzzles involve buildings that use different floor numbering conventions. Some buildings label the ground floor as 'G' (or floor 0), while others label the first floor as '1'. You must convert between these systems when comparing floor numbers across buildings or when interpr...
Multi Parameter Floor And Profession
10 worksheets
Floor + Profession puzzles involve arranging people on different floors where each person has a distinct profession. Clues connect professions to floor positions, such as 'The Doctor lives on floor 3' or 'The Engineer lives immediately above the Teacher'. These problems test your ability to match at...
Multiple Buildings Cross Building Analysis
10 worksheets
Multiple Buildings puzzles involve people distributed across two or more buildings, each with its own set of floors. Clues may compare floor numbers across buildings (e.g., 'X in Building A lives on the same floor number as Y in Building B') or provide building-specific constraints. These puzzles te...
Olympiad Level Advanced Mathematical Logic
10 worksheets
Olympiad-Level Floor Puzzles are the most challenging type, combining advanced mathematical constraints (sums, products, differences, equations) with logical deductions, conditionals, and multiple parameters. These puzzles require sophisticated reasoning and are designed for high-level competitive e...
Temporal Floor Changes Time Based Movement
10 worksheets
Temporal Floor Changes puzzles involve people who change floors between different time points (T1, T2, T3). You are given floor assignments at one time and movement information (swaps, shifts) to determine assignments at another time. These puzzles test dynamic tracking and sequential reasoning.
Triple Parameter Floor And Color And Age
10 worksheets
Triple Parameter puzzles involve arranging people on floors where each person has three distinct attributes (e.g., floor number, color preference, age). Clues may relate any of these attributes to each other. These complex puzzles test advanced multi-attribute matching and systematic deduction skill...
Inequalities
Coded Inequality
10 worksheets
Coded Inequality problems present inequality statements using symbols (like @, #, $, %, &) instead of mathematical symbols. You are given a mapping (e.g., @ means >, # means <, $ means =) and must decode the statements to determine which conclusions follow logically.
Complex Chain
10 worksheets
Complex Chain problems involve long inequality chains (5-7 elements) with interwoven relationships including branching statements. You must analyze complex networks of inequalities to determine which conclusions are definitely true. These problems test advanced transitive reasoning and systematic an...
Compound Inequality
10 worksheets
Compound Inequality problems present two or three independent inequality statements that share common variables. You must combine information across statements to determine which conclusions logically follow. These problems test your ability to integrate information from multiple sources and apply t...
Direct Comparison
10 worksheets
Direct Comparison problems involve simple inequality chains connecting multiple elements (e.g., A > B ≥ C > D). You must evaluate whether a given conclusion about two elements is definitely true, definitely false, or cannot be determined using the transitive property of inequalities.
Either Or Case
10 worksheets
Either-Or Case problems present two conclusions that are complementary - exactly one of them must be true based on the given statements. Common complementary pairs include (A > C, A ≤ C), (A < C, A ≥ C), and (A = C, A ≠ C). These problems test your ability to recognize when two conclusions together ...
Inequality Puzzle
10 worksheets
Inequality Puzzle problems present comparative clues about a set of elements (e.g., A > B, B < C, C > D). You must use these clues to arrange all elements in order and answer questions about which element is largest, smallest, or in a specific position. These problems test your ability to build a co...
Multiple Conclusions
10 worksheets
Multiple Conclusions problems present a set of inequality statements followed by 3-4 conclusions. You must evaluate each conclusion independently and determine which ones definitely follow from the given statements. These problems test comprehensive application of transitive property and logical ded...
Reverse Direction
10 worksheets
Reverse Direction problems present inequality chains that contain changes in direction (e.g., A > B < C). These mixed-sign chains create ambiguity about relationships between outer elements, but some conclusions may be definitely false. You must identify which conclusions contradict the given relati...
Input Output
Advanced Coding Decoding Medium
10 worksheets
Advanced Coding Decoding problems involve encoding words or numbers using letter shifts, positional arithmetic (sum, product of positions), or alternate encoding (letter followed by its position). You must decode the pattern or apply it to new inputs. These problems test your knowledge of alphabet p...
Conditional Coding Rules Medium
10 worksheets
Conditional Coding Rules problems apply different transformation rules based on the type or properties of each input element. Common distinctions include: digits vs words, vowels vs consonants, even vs odd numbers, and uppercase vs lowercase. You must identify which rule applies to each element type...
Function Composition Advanced Hard
10 worksheets
Function Composition problems apply multiple transformation functions in sequence to an input string. Each function performs a specific operation (reverse, uppercase, lowercase, shift letters, remove vowels, double letters, etc.). You must apply the functions in the given order and determine the fin...
Logical Operations Advanced Hard
10 worksheets
Logical Operations problems involve bitwise operations on numbers such as AND, OR, XOR, left shift, right shift, and bit counting (population count). These problems test understanding of binary representation and bitwise logic. They are common in computer science-oriented aptitude tests.
Matrix Transformation Advanced Hard
10 worksheets
Matrix Transformation problems involve applying geometric transformations to a grid of numbers. Common transformations include transpose (rows become columns), rotation (90° clockwise/anticlockwise), horizontal flip (left-right mirror), vertical flip (top-bottom mirror), and diagonal sum (sum of eac...
Multi Stage Logic Hard
10 worksheets
Multi-Stage Logic problems combine sorting, number operations, string manipulation, and alternating transformations across multiple steps. These are among the most challenging Input-Output problems, requiring careful tracking of state changes through 3-5 transformation steps. Common operations inclu...
Multi Stage Number Word Sorting Hard
10 worksheets
Multi-Stage Number-Word Sorting problems involve multiple steps where numbers and words are separated, sorted, transformed, and recombined. Typical steps include: separating numbers from words, sorting numbers in ascending/descending order, sorting words alphabetically, reversing elements, capitaliz...
Pattern Completion Advanced Hard
10 worksheets
Pattern Completion problems present a sequence of numbers with a hidden pattern. You must identify the pattern and determine the next number(s) in the sequence. Common patterns include arithmetic progression (constant difference), geometric progression (constant ratio), Fibonacci (sum of previous tw...
Step By Step Transformation Easy
10 worksheets
Step by Step Transformation problems involve applying a single, simple operation to the input at each step. Common operations include reversing words, shifting letters, adding prefixes, capitalizing letters, removing vowels, swapping letters, and converting numbers to word lengths. You must identify...
Symbol Substitution Advanced Medium
10 worksheets
Symbol Substitution problems replace each digit in a number with a specific symbol (e.g., @, #, $, %, &, *, !, ?). The mapping between digits and symbols is provided or can be deduced from examples. You must encode numbers into symbol strings or decode symbol strings back to numbers.
Logical Connectives
Argument Validity
10 worksheets
Argument Validity problems involve determining whether a conclusion logically follows from given premises. Key valid argument forms include Modus Ponens (P→Q, P ∴ Q), Modus Tollens (P→Q, ¬Q ∴ ¬P), and Hypothetical Syllogism (P→Q, Q→R ∴ P→R). Common fallacies include Affirming the Consequent and Deny...
Basic Conjunction And
10 worksheets
Basic Conjunction (AND) problems involve the logical operator ∧ (AND), which produces a true output only when both input propositions are true. These problems test your understanding of the fundamental 'both must be true' rule and its application in truth tables and real-world scenarios.
Basic Disjunction Or
10 worksheets
Basic Disjunction (OR) problems involve the logical operator ∨ (OR), which produces a true output when at least one of the input propositions is true. The inclusive OR (standard in logic) is true even when both are true. These problems test your understanding of the 'at least one' rule.
Basic Negation Not
10 worksheets
Basic Negation (NOT) problems involve the logical operator ¬ (NOT), which reverses the truth value of a single proposition. If p is true, ¬p is false; if p is false, ¬p is true. These problems test your understanding of logical complement and double negation.
Biconditional Iff
10 worksheets
Biconditional (IFF) problems involve the logical operator ↔, representing 'if and only if' or 'p if and only if q'. The biconditional is true when p and q have the same truth value (both true or both false). It represents logical equivalence between two statements.
Categorical Syllogisms
10 worksheets
Categorical Syllogisms involve reasoning with quantifiers: 'All A are B', 'No A are B', 'Some A are B', and 'Some A are not B'. These problems test your ability to draw valid conclusions from two categorical premises using Venn diagrams or logical rules.
Compound Nested Connectives
10 worksheets
Compound Nested Connectives problems involve logical expressions with multiple operators and parentheses (e.g., (p ∧ q) ∨ r, p → (q ∧ r), ¬(p ∧ q)). You must evaluate these expressions using truth tables or logical reasoning, respecting operator precedence and parentheses.
Conditional Implication
10 worksheets
Conditional Implication (IF-THEN) problems involve the logical operator →, representing 'if p then q'. The implication is false only when the antecedent (p) is true and the consequent (q) is false. In all other cases, it is true. These problems test understanding of conditional reasoning and the con...
Converse Inverse Contrapositive
10 worksheets
Converse, Inverse, and Contrapositive problems involve transforming conditional statements (if p then q) into their related forms. The contrapositive (¬q → ¬p) is logically equivalent to the original, while the converse (q → p) and inverse (¬p → ¬q) are not. These problems test understanding of logi...
Counterexample Generation
10 worksheets
Counterexample Generation problems ask you to find a truth assignment to variables that makes a given logical statement false. This disproves the statement's claim of logical truth (tautology) or equivalence. These problems test your ability to find falsifying assignments.
Exclusive Or Xor
10 worksheets
Exclusive OR (XOR) problems involve the logical operator ⊕, representing 'either p or q, but not both'. XOR is true when exactly one of the propositions is true, and false when both are true or both are false. These problems test understanding of exclusive alternatives.
Knights And Knaves Puzzles
10 worksheets
Knights and Knaves puzzles involve individuals who are either knights (always tell the truth) or knaves (always lie). You must deduce who is what based on their statements about themselves or others. These puzzles test logical reasoning using conditional statements and contradictions.
Logical Equivalence
10 worksheets
Logical Equivalence problems involve determining whether two logical expressions are equivalent (have the same truth values for all input combinations). Key equivalences include De Morgan's Laws, implication equivalence (p → q ≡ ¬p ∨ q), double negation, and distributive laws.
Logical Fallacy Identification
10 worksheets
Logical Fallacy Identification problems present arguments containing common reasoning errors. You must identify which fallacy is being committed. Common fallacies include Ad Hominem (attacking the person), Straw Man (misrepresenting an argument), False Dilemma (presenting limited options), Circular ...
Multi Person Logic Puzzles
10 worksheets
Multi-Person Logic Puzzles involve three or more individuals making statements about themselves or others, where each is either a truth-teller (always tells truth) or liar (always lies). You must deduce the type of each person using case analysis and logical consistency.
Natural Deduction
10 worksheets
Natural Deduction problems involve deriving conclusions from premises using valid inference rules. Common rules include Modus Ponens (P→Q, P ∴ Q), Modus Tollens (P→Q, ¬Q ∴ ¬P), Simplification (P∧Q ∴ P), Conjunction Introduction (P, Q ∴ P∧Q), and Disjunctive Syllogism (P∨Q, ¬P ∴ Q).
Necessary And Sufficient Conditions
10 worksheets
Necessary and Sufficient Conditions problems involve identifying whether one proposition is necessary, sufficient, both, or neither for another. A sufficient condition guarantees the outcome; a necessary condition must be present for the outcome to occur.
Neither Nor Statements
10 worksheets
Only If Distinctions
10 worksheets
Only If Distinctions problems focus on the logical meaning of 'only if' versus 'if'. 'P only if Q' means P → Q (Q is necessary for P), while 'P if Q' means Q → P (Q is sufficient for P). 'P if and only if Q' means P ↔ Q (both necessary and sufficient).
Symbolic Translation
10 worksheets
Symbolic Translation problems involve converting English statements into logical symbols (∧, ∨, ¬, →, ↔). Key phrases include 'and' (∧), 'or' (∨), 'not' (¬), 'if...then' (→), 'if and only if' (↔). These problems test your ability to translate natural language into formal logic.
Tautology And Contradiction
10 worksheets
Tautology and Contradiction problems involve identifying statements that are always true (tautologies) or always false (contradictions) regardless of the truth values of their component propositions. Examples include p ∨ ¬p (tautology) and p ∧ ¬p (contradiction).
Truth Table Completion
10 worksheets
Truth Table Completion problems present a logical expression with a partially filled truth table. You must determine the missing truth values by evaluating the expression for each combination of input propositions. These problems test systematic evaluation and understanding of logical operators.
Unless Conditionals
10 worksheets
Unless Conditionals involve the word 'unless', which means 'if not'. The statement 'P unless Q' is logically equivalent to 'If not Q, then P' (¬Q → P) or 'P or Q' (P ∨ Q). These problems test understanding of this special conditional pattern.
Venn Diagram Logic
10 worksheets
Venn Diagram Logic problems connect set operations to logical connectives. Intersection (∩) corresponds to AND (∧), Union (∪) corresponds to OR (∨), Complement (') corresponds to NOT (¬), and Subset (⊆) corresponds to Implication (→). These problems test understanding of the relationship between set...
Machine Input Output
Machine Basic Rearrangement Easy
10 worksheets
Machine Basic Rearrangement problems present an input line of words or numbers, and through a series of steps, the machine rearranges them by moving one element per step to its correct position. You must analyze the rearrangement pattern, identify which element moves at each step, and determine the ...
Machine Conditional Rearrangement Hard
10 worksheets
Machine Conditional Rearrangement problems apply different rearrangement rules based on the properties of elements. For example, words longer than 4 letters go to the left, or numbers with digit sum > 10 go to the front. These problems test your ability to apply conditional logic in sequential trans...
Machine Double Row Arrangement Hard
10 worksheets
Machine Double Row Arrangement problems involve two separate rows of elements that are rearranged simultaneously. The rows may be sorted independently, have cross-row dependencies, or follow specific pairing rules. These advanced problems test your ability to handle parallel transformations and coor...
Machine Input Output Reverse Engineering Hard
10 worksheets
Machine Input-Output Reverse Engineering problems provide an example input and its corresponding output without showing intermediate steps. You must deduce the transformation rule by analyzing the relationship between the input and output, then apply it to a new input. These problems test your abili...
Machine Operation Chaining Expert Hard
10 worksheets
Machine Operation Chaining problems apply a sequence of multiple operations to the input. Common operations include reversal, uppercase/lowercase conversion, letter shifting (Caesar cipher), vowel removal, and double letters. You must apply each operation in the given order to produce the final outp...
Machine Step Prediction Expert Hard
10 worksheets
Machine Step Prediction problems require you to predict the output at a specific step number (e.g., Step 4) without going through all intermediate steps. These problems often involve complex patterns like odd-even shuffling, prime position moves, or alternating transformations. You must identify the...
Machine Word Number Rearrangement Medium
10 worksheets
Machine Word-Number Rearrangement problems involve inputs containing both words and numbers. The machine may sort words alphabetically, sort numbers numerically, or apply different rules to words and numbers. Common patterns include moving numbers first, words first, or alternating arrangements. The...
Mathematical Operations
Bodmas Challenge
10 worksheets
BODMAS Challenge problems involve complex arithmetic expressions with multiple brackets, nested parentheses, and various operations (+, -, ×, ÷). You must apply BODMAS rules correctly to simplify the expression. These problems test advanced order of operations skills and attention to detail.
Bodmas Symbol Easy
10 worksheets
BODMAS Symbol Easy problems combine symbol substitution with bracket evaluation. You must decode symbols to operators, then evaluate the expression following BODMAS rules (Brackets, Orders, Division/Multiplication, Addition/Subtraction). These problems test your understanding of operator precedence ...
Equation Balance Easy
10 worksheets
Equation Balance Easy problems present an arithmetic equation that is incorrect. You must identify which two numbers should be interchanged (swapped) to make the equation true. These problems test your ability to analyze arithmetic relationships and test multiple possibilities systematically.
Fraction Operations
10 worksheets
Fraction Operations problems require simplifying arithmetic expressions that contain fractions. You must apply BODMAS rules correctly, handling fraction addition, subtraction, multiplication, and division. These problems test your ability to work with fractions and follow order of operations.
Inequality Reasoning
10 worksheets
Inequality Reasoning problems present statements comparing variables using inequality symbols (>, <, ≥, ≤). You must determine which conclusion must be true based on the given relationships, using transitive property and logical deduction. These problems test understanding of inequality properties a...
Logical Sequence
10 worksheets
Logical Sequence problems present a sequence of numbers with one or more missing terms. You must identify the underlying pattern (arithmetic progression, geometric progression, square numbers, cube numbers, etc.) and determine the missing term. These problems test pattern recognition and mathematica...
Missing Operator
10 worksheets
Missing Operator problems present an arithmetic expression with one operator missing (indicated by '?'). You must determine which operator (+, -, ×, ÷) makes the equation true. These problems test your ability to test multiple possibilities and understand operator effects on expression values.
Percentage Reasoning
10 worksheets
Percentage Reasoning problems involve calculating the net percentage change after multiple successive percentage increases or decreases. You must understand that successive percentage changes are not additive but multiplicative. These problems test your understanding of compound percentage effects.
Symbol Interchange Hard
10 worksheets
Symbol Interchange Hard problems present an arithmetic equation that is incorrect. You must identify which two operators (symbols representing +, -, ×, ÷) should be interchanged to make the equation true. These problems test your ability to analyze the effect of operator changes on expression values...
Symbol Substitution Easy
10 worksheets
Symbol Substitution Easy problems present arithmetic expressions where standard operators (+, -, ×, ÷) are replaced with symbols like @, #, $, %. You must decode the symbol mapping, substitute the correct operators, and evaluate the expression using BODMAS rules. These foundational problems test you...
Symbol Substitution Medium
10 worksheets
Symbol Substitution Medium problems extend basic substitution by incorporating brackets/parentheses into expressions. You must decode the symbol mapping, substitute operators, and evaluate expressions containing brackets using BODMAS rules. These problems test your ability to handle operator precede...
Multi Layer Puzzles
Bi Conditional Exclusion
10 worksheets
Bi-Conditional Exclusion puzzles involve either-or constraints (bi-conditionals) where exactly one of two conditions is true. These puzzles require hypothesis testing: you assume one part is true, test for consistency, and if contradiction arises, the other part must be true. These ultra-complex puz...
Conditional Layer Assignment
10 worksheets
Conditional Layer Assignment puzzles involve assigning people to departments, shifts, and days using conditional rules (if-then statements). For example, 'If a person works the Evening shift, then they must be in the HR department.' These puzzles test your ability to apply conditional logic and iden...
Grid Row Column
10 worksheets
Grid Row-Column puzzles involve arranging items in a grid (typically 2×3 or 3×3) with multiple attributes per cell (item, color, number). Clues include direct cell assignments, column constraints (e.g., same column properties), row constraints (e.g., no item of certain color in a row), and diagonal ...
Hierarchical Organization
10 worksheets
Hierarchical Organization puzzles involve arranging people in a multi-level organizational structure with reporting relationships. Common levels include Director, Manager, and Executive. Clues specify who reports to whom, who is at the same level, and departmental assignments. These puzzles test you...
Multi Building Floors
10 worksheets
Multi-Building Floors puzzles involve people distributed across multiple buildings, each with its own set of floors. Clues include inter-building relational constraints (e.g., 'The Lawyer lives immediately above person X in Building B'), intra-building positional clues, grouping exclusions, cross-re...
Multi Floor Basic
10 worksheets
Multi-Floor Basic puzzles involve arranging people or items on different floors of a building (typically floors 1 to 5) with each person having an additional attribute (like favorite color). You are given deductive clues including direct assignments, relative positional relationships (above/below wi...
Multi Floor Department
10 worksheets
Multi-Floor Department puzzles involve arranging people on different floors with two additional attributes: department and profession. These 3-layer puzzles test your ability to handle multiple interconnected attributes simultaneously. Clues include relative positional relationships, inter-layer exc...
Nested Layering Ultra
10 worksheets
Nested Layering Ultra puzzles involve multiple levels of hierarchy (Companies → Departments → Teams → Individuals). You must assign individuals to teams, teams to departments, and departments to companies based on given structural information. These ultra-complex puzzles test your ability to navigat...
Parallel Track Racing
10 worksheets
Parallel Track Racing puzzles involve runners on multiple parallel tracks, with each track having its own ranking. Runners can share tracks, and positions are tracked within each track. Clues include which runners are on which tracks, who is ahead of whom within each track, and comparative statement...
Project Phase Temporal
10 worksheets
Project Phase Temporal puzzles involve scheduling multiple projects across phases (Planning, Development, Testing, Deployment) over time (months). Each phase has a team assignment, and phases must be completed in order. Clues specify which team handles which phases, and which months each phase occur...
Shelf Stacking Category
10 worksheets
Shelf Stacking Category puzzles involve arranging items on horizontal shelves (positions 1 to N from bottom to top) with each item having a size category (Small, Medium, Large). Constraints include specific size assignments to shelves, adjacency restrictions (no two adjacent shelves have the same si...
Stacked Container
10 worksheets
Stacked Container puzzles involve arranging boxes (or containers) in a vertical stack from bottom to top (positions 1 to N). Each box has a unique color. Clues include direct position assignments, adjacency relationships (immediately above/below), positional color assignments, and exclusion statemen...
Time Shift Rotation
10 worksheets
Time Shift Rotation puzzles involve scheduling people across multiple days with rotating shifts. Each person works one shift per day, and shifts rotate forward by a fixed number of positions each day. These puzzles test your ability to track temporal patterns and predict future assignments.
Zone Movement
10 worksheets
Zone Movement puzzles involve people moving between different zones over multiple time slots. Each person moves according to a fixed pattern, and multiple people can occupy the same zone simultaneously. You must track zone occupancy at different times and answer questions about which zone has a spec...
Permutation Combination
Basic Combination Selection
10 worksheets
Combination deals with selecting objects where order does NOT matter. The number of ways to choose 'r' objects from 'n' distinct objects is denoted as ⁿCᵣ or C(n,r) = n! / [r! × (n-r)!]. Combinations are used when forming committees, selecting teams, or any situation where the arrangement of selecte...
Basic Linear Permutation
10 worksheets
Linear Permutation deals with arranging distinct objects in a straight line (order matters). The number of ways to arrange 'n' distinct objects in a line is n! (n factorial). This fundamental concept extends to arranging only 'r' objects out of 'n' (ⁿPᵣ = n!/(n-r)!).
Circular Permutation
10 worksheets
Circular Permutation deals with arranging distinct objects around a circle (or any closed loop). Unlike linear arrangements, rotations of the same circular arrangement are considered identical because there is no fixed starting point. The number of ways to arrange 'n' distinct objects around a circl...
Circular Permutation With Reflection
10 worksheets
Circular Permutation with Reflection deals with arrangements around a circle where clockwise and anticlockwise arrangements are considered identical (as in necklaces, bracelets, or garlands). Since a necklace can be flipped over, the number of distinct arrangements is (n-1)!/2 for n ≥ 3 distinct obj...
Circular Permutations With Identical Objects
10 worksheets
Circular Permutations with Identical Objects (Necklace/ Garland problems with repeated beads) require counting distinct arrangements around a circle where rotations and reflections are considered identical AND some objects are identical. These are the most complex permutation problems, often requiri...
Combination With At Least Constraint
10 worksheets
Combination with 'At Least' Constraint problems require selecting a committee or group where certain categories must have at least a minimum number of members (e.g., at least 2 men, at least 1 woman). These are solved by summing combinations for each valid case or using complementary counting.
Committee Formation
10 worksheets
Committee Formation problems involve selecting a team or committee from different groups (e.g., selecting from men and women, from different departments, or with specific skill requirements). These are combination problems with constraints that require selecting from multiple independent groups.
Derangement Problem
10 worksheets
Derangement is a permutation of elements where no element appears in its original position. For example, arranging n letters into n envelopes so that no letter goes into its correct envelope. The number of derangements of n items is denoted as !n (subfactorial) or D(n).
Distribution Problem
10 worksheets
Distribution problems involve distributing objects into boxes or recipients. When objects are distinct and boxes are distinct, each object has independent choices, so the number of ways is (number of boxes)^(number of objects). Different variations include empty boxes allowed or not, identical objec...
Fundamental Counting Principle
10 worksheets
The Fundamental Counting Principle (Multiplication Principle) states that if one event can occur in 'm' ways and a second independent event can occur in 'n' ways, then the total number of ways both events can occur together is m × n. This principle extends to any number of independent events and for...
Gap Method Separation
10 worksheets
The Gap Method is a technique for arranging items such that certain items are not adjacent to each other. First, arrange the unrestricted items, creating gaps between them. Then, place the restricted items in these gaps to ensure separation. This method is especially useful for 'no two vowels togeth...
Geometrical Combinations
10 worksheets
Geometrical Combinations involve counting geometric figures (triangles, lines, diagonals, quadrilaterals, etc.) formed by joining given points in a plane. These problems combine combinatorial selection with geometric constraints, such as collinearity (points on the same line cannot form triangles).
Group Division
10 worksheets
Group Division problems involve dividing a set of distinct items into groups (teams, batches, etc.). Key considerations: Are groups distinguishable (labeled like Team A, Team B) or indistinguishable? Are groups of equal size or different sizes? The formula involves combinations and division by facto...
Handshake Problems With Constraints
10 worksheets
Handshake problems count the number of handshakes that occur in a group where each pair of people shakes hands exactly once. The classic formula is C(n,2) = n(n-1)/2. Variations include constraints such as certain people not shaking hands, people shaking only within groups, or specific handshake pat...
Inclusion Exclusion Principle
10 worksheets
The Inclusion-Exclusion Principle (PIE) is a counting technique used to calculate the size of the union of multiple sets when there is overlap between them. For two sets: |A ∪ B| = |A| + |B| - |A ∩ B|. For three sets: |A ∪ B ∪ C| = |A| + |B| + |C| - |A ∩ B| - |B ∩ C| - |A ∩ C| + |A ∩ B ∩ C|.
Multinomial Theorem
10 worksheets
The Multinomial Theorem generalizes the Binomial Theorem to more than two terms. The coefficient of x₁ᵃ x₂ᵇ ... xₖᶜ in the expansion of (x₁ + x₂ + ... + xₖ)ⁿ is n!/(a! b! c! ...), where a + b + c + ... = n. This is also the number of ways to arrange n objects with a of type 1, b of type 2, etc.
Number Formation With Constraints
10 worksheets
Number Formation problems involve forming numbers (usually with a given number of digits) from a set of digits, often with restrictions such as: first digit cannot be zero, digits can/cannot repeat, or numbers must be divisible by certain values (even, odd, divisible by 5, etc.).
Number Formation With Distinct Digits
10 worksheets
Number Formation with Distinct Digits involves forming numbers where digits cannot repeat. This is a permutation problem where we arrange selected digits. The number of n-digit numbers with distinct digits (and first digit ≠ 0) is 9 × P(9, n-1) for n ≤ 10.
Partial Derangement Rencontres Numbers
10 worksheets
Partial Derangement (Rencontres Numbers) counts permutations of n elements with exactly k fixed points (elements that stay in their original position). The formula is D(n,k) = C(n,k) × !(n-k), where !(n-k) is the derangement number. These generalize derangements (k=0) to allow some fixed points.
Partition Into Unequal Groups
10 worksheets
Partition into Unequal Groups involves dividing a set of distinct items into groups where the groups have different sizes. When group sizes are all different, the groups are naturally distinguishable by size, so no division by factorial is needed. This differs from equal groups where division by k! ...
Permutation With Restriction
10 worksheets
Permutation with Restriction problems involve arranging objects with specific constraints such as: certain objects must be together, must be apart, must be at fixed positions, or must be at ends. These problems require treating restricted groups as units or using complementary counting.
Permutations With Identical Objects
10 worksheets
Permutations with Identical Objects (Multiset Permutations) deal with arranging objects where some are identical. The number of distinct arrangements is n! / (p! × q! × r! × ...), where p, q, r are the frequencies of identical objects. This extends word formation problems to general objects.
Rank Of Word
10 worksheets
Rank of a word is its position when all permutations of its letters are arranged in dictionary (alphabetical) order. For example, the word 'MOTHER' has a certain rank among all 6! = 720 permutations of its letters. Ranking requires systematically counting how many words come before the given word.
Selection With Mandatory Constraint
10 worksheets
Selection with Mandatory Constraint problems involve selecting a committee or team where certain specific individuals must be included (or must be excluded). These problems simplify by fixing the mandatory selections first, then selecting the remaining from the available pool.
Stars And Bars
10 worksheets
The Stars and Bars method is a combinatorial technique for counting the number of ways to distribute n identical items into k distinct boxes (or find non-negative integer solutions to x₁ + x₂ + ... + xₖ = n). The formula is C(n + k - 1, k - 1).
Word Formation With Repetition
10 worksheets
Word Formation with Repetition (Permutation of Identical Objects) deals with arranging objects where some are identical. The number of distinct arrangements of 'n' objects where there are p identical objects of one type, q of another, etc., is n!/(p! × q! × ...). This is commonly applied to finding ...
Ranking Ordering
Blood Relations
10 worksheets
Blood Relations in Ranking puzzles combine family relationship concepts with ordering and ranking. You must arrange family members by generation, age, or position while tracking family ties like parent-child, sibling, or grandparent-grandchild relationships.
Building Floors Ordering
10 worksheets
Building Floors Ordering problems involve arranging persons or items on different floors of a building, using clues like 'A lives above B', 'C lives two floors below D', or 'E lives on an even-numbered floor'. These problems test vertical ordering and positional arithmetic.
Circular Arrangement
10 worksheets
Circular Arrangement problems involve placing persons around a circle (table) with directional clues (left/right, opposite, adjacent). Unlike linear arrangements, circular arrangements have no fixed start point, requiring relative positioning. Facing direction (center or outward) affects left/right ...
Comparative Ranking
10 worksheets
Comparative Ranking problems involve arranging persons or items based on comparison clues (e.g., 'A is taller than B', 'C is heavier than D'). These problems test your ability to chain comparisons together to determine the complete order.
Comparison Chains
10 worksheets
Comparison Chains problems involve a series of linked comparisons (e.g., A > B, B > C, C > D) that together form a complete ordering. These problems test your ability to chain comparisons using the transitive property and fill in missing links.
Linear Arrangement Puzzle
10 worksheets
Linear Arrangement puzzles involve arranging persons or objects in a single row or line based on positional clues (e.g., 'A sits to the left of B', 'C is at an end', 'D is second from the right'). These problems test your ability to place items in specific positions.
Linear Arrangement With Distance
10 worksheets
Linear Arrangement with Distance problems involve placing persons in a row with specific distance constraints (e.g., 'There are 3 persons between A and B', 'A is 5th from left and B is 3rd from right'). These problems require calculating total positions and using gap formulas.
Multi Dimensional Ranking
10 worksheets
Multi-Dimensional Ranking problems involve comparing persons across multiple attributes (e.g., height, weight, age, marks). You must determine rankings for each attribute separately or find relationships between attributes. These problems test your ability to handle multiple parallel ordering system...
Olympiad Ranking
10 worksheets
Olympiad Ranking problems involve ranking participants based on weighted scores or medal counts (e.g., gold=3, silver=2, bronze=1). Multiple criteria (medals of different colors) must be combined to determine overall ranking. These problems test your ability to handle weighted scoring and tie-breaki...
Ranking With Ties
10 worksheets
Ranking with Ties problems involve scenarios where multiple persons achieve the same rank (tie). When ties occur, the next rank skips ahead (e.g., 1,2,2,4). These problems test your understanding of rank assignment with ties and the difference between rank position and count of persons.
Relative Positions Ambiguity Resolution
10 worksheets
Relative Positions with Ambiguity Resolution problems present positional clues that allow multiple valid arrangements. You must determine which information resolves the ambiguity or identify when a conclusion cannot be uniquely determined. These problems test your ability to recognize insufficient i...
Scheduling Time Order
10 worksheets
Scheduling Time Order problems involve arranging events or tasks in chronological order based on time constraints (before/after), durations, and specific time slots. These problems test your ability to manage temporal sequences and resource allocation.
Seat Swap Inference
10 worksheets
Seat Swap Inference problems involve persons exchanging positions (swapping seats) in a row or circle. You must determine the final position of a person after a series of swaps or deduce who is at a certain position after swaps. These problems test your ability to track position changes through mult...
Top K Partial Order
10 worksheets
Top-K Partial Order problems provide ranking information only for the top K positions (e.g., 'Top 3 students' or 'First 5 ranks'). The remaining persons are unranked or their relative order is unknown. These problems test your ability to work with incomplete ordering information.
Scheduling
Airline Crew Scheduling
10 worksheets
Airline Crew Scheduling problems involve assigning crews to flights with constraints on duty duration, minimum rest periods, and connection times. You need to find the maximum number of flights a crew can operate in one duty period.
Appointment Booking Conflicts
10 worksheets
Appointment Booking Conflicts problems involve assigning patients to doctors and time slots while respecting that each doctor can see only one patient per time slot. You must determine if all appointments can be accommodated without conflicts.
Batch Processing Scheduling
10 worksheets
Bus Timetable Optimization
10 worksheets
Clinic Appointment Scheduling
10 worksheets
Conference Session Scheduling
10 worksheets
Constraint Redundancy
10 worksheets
Course Registration Scheduling
10 worksheets
Daily Schedule Basic
10 worksheets
Daily Schedule Basic problems involve arranging daily activities or tasks in chronological order based on given time slots. You need to sequence events from earliest to latest, testing your ability to compare and order time-based information.
Data Sufficiency Scheduling
10 worksheets
Dynamic Multi Person Deduction
10 worksheets
Dynamic Multi-Person Deduction problems involve assigning people to tasks or roles with multiple constraints. You must determine which assignments are forced (must be true in all valid solutions) by analyzing all possible valid configurations.
Dynamic Production Sequencing
10 worksheets
Dynamic Transportation Optimization
10 worksheets
Dynamic Transportation Optimization problems involve finding the fastest journey from origin to destination using multiple transport options (flights, trains) with layover constraints. You must consider all possible combinations of connecting services.
Edge Coloring Scheduling
10 worksheets
Event Staff Scheduling
10 worksheets
Exam Invigilation Scheduling
10 worksheets
Exam Schedule With Prep Time
10 worksheets
Exam Schedule with Prep Time problems involve scheduling exams with specific preparation day requirements. Each exam needs a certain number of preparation days before it, and you must find the optimal schedule within available days.
Flow Shop Scheduling
10 worksheets
Fuzzy Time Scheduling
10 worksheets
Graph Coloring Timetable
10 worksheets
Graph Coloring Timetable problems involve scheduling courses or events that have conflicts (cannot be at same time). Each conflict is an edge in a graph, and the minimum number of time slots equals the chromatic number of the conflict graph.
Interval Graph Scheduling
10 worksheets
Interval Graph Scheduling problems involve allocating rooms or venues to events that have fixed start and end times. The minimum number of rooms needed equals the maximum number of overlapping intervals (maximum clique size in interval graph).
Jit Penalty Scheduling
10 worksheets
JIT (Just-In-Time) Penalty Scheduling problems involve scheduling jobs with due dates, where early completion incurs holding cost (earliness penalty) and late completion incurs delay cost (tardiness penalty). Total penalty is minimized using Earliest Due Date (EDD) sequencing.
Job Shop Scheduling
10 worksheets
Job Shop Scheduling problems involve processing jobs that have different routes through multiple machines (each job may visit machines in a different order). Finding the optimal schedule is NP-hard, but you can calculate lower bounds.
League Match Scheduling
10 worksheets
Learning Curve Scheduling
10 worksheets
Learning Curve Scheduling problems involve time reduction as workers gain experience. Each doubling of cumulative production reduces time by a fixed percentage (learning rate). You need to calculate total production time using the learning curve formula.
Machine Breakdown Recovery
10 worksheets
Maintenance Scheduling
10 worksheets
Maintenance Scheduling problems involve planning preventive maintenance for machines. By staggering maintenance, you ensure that not all machines are down at once. You need to determine the maximum number of machines that can remain operational.
Meeting Slot Optimization
10 worksheets
Month Date Scheduling
10 worksheets
Multi Objective Scheduling
10 worksheets
Nested Schedule Optimization
10 worksheets
Nested Schedule Optimization problems involve scheduling operations across multiple production lines, where each operation must be performed on a specific line. You need to identify the bottleneck line (with highest total load) and calculate its load.
Nurse Patient Assignment
10 worksheets
On Call Scheduling
10 worksheets
Operating Room Scheduling
10 worksheets
Preemptive Scheduling
10 worksheets
Priority Deadline Scheduling
10 worksheets
Production Line Scheduling
10 worksheets
Production Line Scheduling problems involve sequencing production batches of different products with setup times between different product types. The goal is to minimize total production time by batching identical products together.
Project Task Dependency
10 worksheets
Project Task Dependency problems involve scheduling tasks that have dependencies (some tasks must finish before others can start). You need to find the minimum project completion time using Critical Path Method (CPM) by calculating earliest start and finish times.
Real Time Task Scheduling
10 worksheets
Resource Constrained Scheduling
10 worksheets
Rotating Shift Pattern
10 worksheets
Round Robin Tournament
10 worksheets
Schedule Feasibility Check
10 worksheets
Shift Rotation Schedule
10 worksheets
Single Elimination Bracket
10 worksheets
Staff Shift Fairness
10 worksheets
Temporal Ordering Linear
10 worksheets
Temporal Ordering Linear problems involve arranging items (tasks, people, events) in a linear sequence from first to last with constraints like 'X is immediately before Y', 'X is before Y', 'exactly n items between X and Y', and positional exclusions.
Thesis Defense Scheduling
10 worksheets
Time Slot Minimum Gap
10 worksheets
Time Slot Minimum Gap problems involve scheduling events that must have a minimum time gap between them (e.g., two hours between the end of one event and the start of another). You need to find the earliest possible time for the second event.
Train Platform Allocation
10 worksheets
Transportation Schedule
10 worksheets
Transportation Schedule problems involve finding the optimal route from origin to destination using multiple transport options with departure and arrival times. You must ensure minimum connection times between transfers and find the earliest arrival.
Vehicle Routing Schedule
10 worksheets
Weekly Class Schedule
10 worksheets
Seating Arrangement
Circular Facing Center
10 worksheets
Circular Facing Center problems involve arranging persons around a circular table where all individuals face the center. When facing center, a person's right is clockwise direction and left is anti-clockwise direction. These problems test your ability to work with circular ordering.
Circular Facing Outward
10 worksheets
Circular Facing Outward problems involve arranging persons around a circular table where all individuals face away from the center (outward). When facing outward, a person's right is anti-clockwise and left is clockwise. This reversal of directions makes these problems more challenging.
Circular Mixed Facing
10 worksheets
Circular Mixed Facing problems involve arranging persons around a circular table where some face the center and some face outward. Each person's left/right interpretation depends on their facing direction. These are among the most complex seating arrangement problems.
Concentric Circles Arrangement
10 worksheets
Concentric Circles Arrangement problems involve two or more circular rings where persons sit in inner and outer circles, typically facing the center. Persons in different circles may face each other across the rings. These problems test complex circular reasoning with multiple layers.
Conditional Seating
10 worksheets
Conditional Seating problems involve 'if-then' statements that create dependencies between positions or assignments. These problems test your ability to handle logical conditions and identify what must be false or true in all possible valid arrangements.
Double Row Facing Each Other
10 worksheets
Double Row Facing Each Other problems involve two parallel rows of persons where persons in one row face the other row. Typically, Row 1 faces South and Row 2 faces North, so persons in opposite rows face each other directly. These problems test your ability to coordinate two simultaneous linear arr...
Family Seating Arrangement
10 worksheets
Family Seating Arrangement problems combine seating arrangement with blood relations and family hierarchies. You must arrange family members based on positional clues while respecting relationship constraints like gender separation, parent-child adjacency, etc.
Hexagonal Table Arrangement
10 worksheets
Linear Mixed Facing Directions
10 worksheets
Linear Mixed Facing Directions problems involve arranging persons in a row where some face North and some face South. This creates complexity as left/right interpretations differ based on each person's facing direction. These problems test your ability to handle multiple perspectives simultaneously.
Linear Single Row North Facing
10 worksheets
Linear Single Row North Facing problems involve arranging persons in a straight row where all individuals face North. When facing North, a person's right hand points East (viewer's right) and left hand points West (viewer's left). These problems test your ability to interpret directional clues in a ...
Linear Single Row South Facing
10 worksheets
Linear Single Row South Facing problems involve arranging persons in a straight row where all individuals face South. When facing South, a person's right hand points West (viewer's left) and left hand points East (viewer's right). This reversal of left-right perspective makes these problems slightly...
Linear With Empty Seats
10 worksheets
Rectangular Table Arrangement
10 worksheets
Rectangular Table Arrangement problems involve seating persons around a rectangle where longer sides have more persons than shorter sides. This creates an asymmetric layout that requires careful tracking of positions and side identification.
Seating With Professions
10 worksheets
Square Table Arrangement
10 worksheets
Square Table Arrangement problems involve seating persons around a square table with persons at corners and middle of sides. All persons typically face the center. These problems test your understanding of square geometry and relative positioning around a polygon.
Three Parallel Rows
10 worksheets
Three Parallel Rows problems involve three rows of chairs placed parallel to each other. Typically, Row 1 faces Row 2, and Row 2 faces Row 3, creating a chain of facing relationships. These problems test advanced coordination of multiple arrangements.
Situation Reaction
Academic Integrity
10 worksheets
Career Decision Making
10 worksheets
Career Decision Making problems present scenarios involving job offers, promotions, relocation decisions, counter-offers, and career path choices. These questions test your ability to evaluate opportunities systematically and make sound professional decisions.
Conflict Resolution
10 worksheets
Conflict Resolution problems present scenarios involving disputes between team members, angry customers, or interpersonal conflicts. These questions test your mediation skills, emotional intelligence, and ability to find win-win solutions.
Emergency Crisis Management
10 worksheets
Emergency Crisis Management problems present critical situations like accidents, fires, medical emergencies, or natural disasters. These questions test your ability to remain calm under pressure, prioritize actions correctly, and follow appropriate emergency protocols.
Ethical Conflict Virtues
10 worksheets
Ethical Conflict - Virtues problems involve situations where two or more virtues (justice, mercy, integrity, loyalty, honesty) are in direct conflict. These advanced dilemmas require sophisticated moral reasoning and understanding of ethical frameworks.
Ethical Dilemma Complex
10 worksheets
Complex Ethical Dilemma problems involve situations where multiple values conflict - honesty vs. loyalty, justice vs. mercy, personal gain vs. integrity. These questions test your moral reasoning and ability to make principled decisions when there's no perfect answer.
Family Situations
10 worksheets
Family Situations problems present scenarios involving family relationships, parent-child disagreements, sibling conflicts, and household decisions. These questions test your emotional intelligence, communication skills, and ability to maintain family harmony while addressing important issues.
Loyalty Vs Duty Dilemma
10 worksheets
Loyalty vs Duty Dilemma problems involve situations where personal loyalty to friends, mentors, or family conflicts with professional or legal duties. These advanced dilemmas test your ability to balance relationships with responsibilities.
Professional Emergency
10 worksheets
Professional Emergency problems present urgent work situations like presentation failures, client complaints, system outages, or project crises. These questions test your ability to remain professional under pressure and find effective solutions to work emergencies.
Public Safety Awareness
10 worksheets
Public Safety Awareness problems present scenarios involving suspicious packages, harassment, fire alarms, and other public safety threats. These questions test your awareness of safety protocols and ability to respond appropriately to protect yourself and others.
Social Etiquette Basic
10 worksheets
Social Etiquette Basic problems present everyday social situations where you must choose the most appropriate and polite response. These questions test your understanding of basic manners, respect for others, and socially acceptable behavior in common scenarios like accidental mistakes, queue manage...
Social Media Dilemmas
10 worksheets
Social Media Dilemmas problems present scenarios involving fake profiles, cyberbullying, privacy breaches, and inappropriate online behavior. These questions test your digital citizenship and ability to respond appropriately to social media issues.
Technology Modern Scenarios
10 worksheets
Technology Modern Scenarios problems present situations involving phishing emails, video call issues, password sharing, social media, and other digital-age challenges. These questions test your digital literacy and appropriate responses to technology-related dilemmas.
Time Management Crisis
10 worksheets
Time Management Crisis problems present situations with multiple competing deadlines where you cannot complete all tasks. These questions test your ability to prioritize, communicate effectively, and make strategic decisions about resource allocation.
Workplace Ethics
10 worksheets
Workplace Ethics problems present professional scenarios involving colleagues, managers, deadlines, and ethical dilemmas. These questions test your ability to navigate office politics, maintain professional integrity, and make sound ethical decisions in work environments.
Statement Inference
Abductive Inference
10 worksheets
Abductive Inference (Inference to the Best Explanation) problems present a set of facts or observations and ask you to identify the most plausible explanation among several options. Unlike deductive inference (certain) or inductive inference (probabilistic), abduction seeks the explanation that best...
Causal Chain Inference
10 worksheets
Causal Chain Inference problems present a series of cause-effect relationships (e.g., 'Higher education spending leads to lower crime rates', 'Lower crime rates attract businesses'). You must trace these causal chains to draw reasonable inferences about likely outcomes when causes are present.
Comparative Data Inference
10 worksheets
Comparative Data Inference problems present comparative information about two or more entities (e.g., 'Product A costs more than Product B', 'School X has a higher pass rate than School Y'). You must draw logical conclusions based on these comparisons, understanding the transitive property and the l...
Immediate Logical Inference
10 worksheets
Immediate Logical Inference problems present a single statement and ask which conclusion can be drawn directly without any additional assumptions. These problems test your ability to extract information that is explicitly stated or necessarily implied by the statement. The correct inference must fol...
Inference Overreach Detection
10 worksheets
Inference Overreach Detection problems present a statement followed by several inferences. You must identify which inferences go beyond what the statement supports (overreach) and which are valid based on the evidence. These problems test your ability to recognize unwarranted leaps in logic and dist...
Probabilistic Multi Factor Inference
10 worksheets
Probabilistic Multi-factor Inference problems present multiple factors that affect the probability of an outcome (e.g., '80% of startups fail within 2 years', 'Companies with experienced founders have 60% success rate'). You must synthesize these probabilities to draw reasonable inferences about lik...
Statistical Set Inference
10 worksheets
Statistical Set Inference problems involve data about overlapping categories or sets (e.g., '70% own smartphones, 50% own tablets, 30% own both'). You must use set theory principles and the inclusion-exclusion formula to draw correct inferences about unions, intersections, and complements.
Temporal Pattern Inference
10 worksheets
Temporal Pattern Inference problems present data or events over a period of time (e.g., 'Sales increased 20% in Q1, decreased 10% in Q2, increased 15% in Q3'). You must identify patterns, trends, and reasonable inferences about past, present, or future states based on chronological data.
Strong Weak Arguments
Analogical Reasoning Assessment
10 worksheets
Analogical Reasoning Assessment problems involve arguments that use analogies (comparing two situations to draw a conclusion). You must evaluate whether the analogy is valid by identifying relevant similarities and differences between the two situations.
Argument Mapping
10 worksheets
Argument Mapping problems require you to identify the components of an argument (premises and conclusion) and understand how they relate. You must recognize the conclusion (what the argument tries to prove) and the premises (evidence supporting it).
Basic Strength Classification
10 worksheets
Basic Strength Classification problems present an argument for or against a proposition. You must determine whether the argument is strong (logically sound, relevant, and evidence-based) or weak (emotional, vague, irrelevant, or lacking evidence). These problems form the foundation of critical reaso...
Causal Reasoning Evaluation
10 worksheets
Comparative Argument Analysis
10 worksheets
Comparative Argument Analysis problems present two arguments on the same issue. You must analyze both and determine which argument is stronger, or whether they have similar strength. These problems test your ability to evaluate and compare multiple perspectives.
Contextual Strength Assessment
10 worksheets
Contextual Strength Assessment problems present arguments within specific contexts (corporate boardroom, city council, personal decision, etc.). The strength of an argument depends on its relevance and appropriateness to that particular context. What works in one context may be weak in another.
Counterfactual Reasoning
10 worksheets
Counterfactual Reasoning problems require you to evaluate causal claims by considering what would have happened in the absence of the alleged cause. This 'what if' thinking is essential for proper causal inference and policy evaluation.
Evidence Based Strength Evaluation
10 worksheets
Evidence-Based Strength Evaluation problems focus on the quality, relevance, and sufficiency of evidence provided in an argument. You must assess whether the evidence is specific, credible, relevant, and sufficient to support the conclusion.
Inductive Vs Deductive
10 worksheets
Inductive vs Deductive problems require you to classify arguments by type (inductive or deductive) and understand the different criteria for evaluating each type. Deductive arguments aim for logical necessity (validity), while inductive arguments aim for probability (strength).
Logical Validity Assessment
10 worksheets
Logical Validity Assessment problems require you to evaluate whether an argument contains logical flaws or fallacies. You must identify errors in reasoning such as affirming the consequent, false dilemmas, hasty generalizations, slippery slopes, and other logical fallacies.
Multi Criteria Strength Analysis
10 worksheets
Multi-Criteria Strength Analysis problems require evaluating arguments across multiple criteria simultaneously, such as evidence quality, relevance, comprehensiveness, logical validity, and practical applicability. You must assess overall strength based on performance across all criteria.
Rebuttal Selection
10 worksheets
Statistical Reasoning
10 worksheets
Statistical Reasoning problems involve arguments that use statistics, probabilities, or data. You must evaluate whether the statistical evidence is used correctly, identify common statistical fallacies (base rate neglect, small sample bias, etc.), and assess the strength of probabilistic claims.
Syllogism
Basic All All Syllogism
10 worksheets
Basic All-All Syllogism involves two universal positive statements: 'All A are B' and 'All B are C'. These statements guarantee a definite conclusion: 'All A are C'. Additionally, 'Some C are A' is also a valid conclusion since if all A are C, then some C must be A (assuming A is non-empty). These p...
Coded Syllogism
10 worksheets
Coded Syllogism presents statements using symbols (like @, #, $, %) instead of words like 'All', 'Some', 'No', 'Some not'. You must decode the symbols first, then apply standard syllogism rules to evaluate conclusions. These problems test your ability to work with coded information.
Complementary Pair All Somenot
10 worksheets
Complementary Pair (All-SomeNot) problems involve conclusions that form an A-O complementary pair: 'All A are C' (A-type) and 'Some A are not C' (O-type). These are logical opposites - they cannot both be true, but one of them must be true. When the premises leave ambiguity, the answer is 'Either co...
Complementary Pair Some No
10 worksheets
Complementary Pair (Some-No) problems occur when the two conclusions form a complementary pair: 'Some A are C' (I-type) and 'No A are C' (E-type). These are logical opposites - they cannot both be true, but one of them must be true. When the premises establish that at least one of these must hold, t...
Distribution Of Terms
10 worksheets
Distribution of Terms refers to whether a term refers to all members of its category or only some. Understanding distribution is crucial for determining the validity of syllogisms. A term is distributed if the statement makes a claim about every member of that class.
Fallacy Detection
10 worksheets
Fallacy Detection involves identifying logical errors in syllogistic arguments. Common fallacies include undistributed middle, illicit major/minor, exclusive premises, negative conclusion from positive premises, and existential fallacy. These problems test your ability to spot invalid reasoning patt...
Four Statement Complex
10 worksheets
Four Statement Complex Syllogism involves four interconnected statements that create an extended logical chain. These problems test your ability to chain multiple relationships and evaluate multiple conclusions simultaneously. They appear in higher-level competitive exams.
Mediate Vs Immediate Inference
10 worksheets
Mediate vs Immediate Inference problems test your ability to distinguish between conclusions that come directly from a single statement (immediate inference) and those that require combining multiple statements (mediate inference). Immediate inferences include conversion, obversion, and contrapositi...
Multi Dimensional Syllogism
10 worksheets
Multi-Dimensional Syllogism involves statements that relate multiple attributes (e.g., 'All red cars are fast', 'Some fast cars are expensive'). These problems require tracking relationships across multiple dimensions or categories simultaneously, testing your ability to handle complex logical struc...
No All Negative Pattern
10 worksheets
No-All Negative Pattern syllogism combines a universal negative statement ('No A are B') with a universal positive statement ('All B are C'). The valid conclusion is 'Some C are not A' (particular negative). These problems test your understanding of how negative statements interact with universal af...
Only Statement Pattern
10 worksheets
Only Statement Pattern involves statements that use the word 'Only' (e.g., 'Only A are B'). This is logically equivalent to 'All B are A' (the reverse of what it might seem). Understanding this conversion is crucial for solving these problems correctly.
Possibility Case
10 worksheets
Possibility Case syllogism problems involve conclusions that use modal language like 'is a possibility', 'can be', or 'may be'. These are different from definite conclusions. A possibility conclusion is true if there exists at least one valid scenario (Venn diagram) where it holds, AND no definite c...
Reverse Syllogism
10 worksheets
Reverse Syllogism (also called Reverse Syllogism or Backward Syllogism) presents a conclusion and several sets of premises. You must identify which set of premises logically leads to the given conclusion. These problems test your ability to work backwards and recognize valid syllogistic patterns.
Some Some Particular
10 worksheets
Some-Some Particular syllogism involves two particular positive statements: 'Some A are B' and 'Some B are C'. These statements do NOT guarantee any definite conclusion about the relationship between A and C because the overlapping portions of B with A and C may be different. These problems test you...
Temporal Syllogism
10 worksheets
Temporal Syllogism involves statements with time-related terms like 'always', 'never', 'sometimes', 'every time', etc. These function similarly to standard quantifiers but add a temporal dimension. Understanding how temporal quantifiers behave is essential for solving these problems.
Three Statement Standard
10 worksheets
Three Statement Standard Syllogism involves three statements (instead of the usual two) and multiple conclusions. You must evaluate which conclusions logically follow from the given statements. These problems test your ability to chain multiple relationships and handle complex logical deductions.
Symbol Notation
Basic Arithmetic Symbols
10 worksheets
Basic Arithmetic Symbols problems use custom symbols (like ⊕, ⊗, ◊) to represent standard arithmetic operations (+, -, ×, ÷). You must substitute the actual operations and evaluate the expression following proper order of operations (BODMAS/PEMDAS).
Complex Notation
10 worksheets
Complex Notation problems involve custom symbol systems where each symbol represents a mathematical operation or function. These problems often require multiple steps or nested operations to evaluate, testing your ability to decode and apply symbolic rules systematically.
Function Notation
10 worksheets
Inequality Notation
10 worksheets
Logical Symbols
10 worksheets
Matrix Notation
10 worksheets
Nested Functions
10 worksheets
Nested Functions problems involve multiple levels of function composition, where the output of one function becomes the input of another. These problems test your ability to evaluate complex nested expressions systematically, often with custom function definitions.
Set Theory Symbols
10 worksheets
Non-Verbal Reasoning
Counting Figures
Circles Overlapping
10 worksheets
Line Segments
10 worksheets
Parallelograms
10 worksheets
Parallelogram Counting problems involve counting the number of parallelograms formed by a set of intersecting lines (usually horizontal and vertical lines). The number of parallelograms = C(h,2) × C(v,2), where h is the number of horizontal lines and v is the number of vertical lines.
Rectangles Grid
10 worksheets
Rectangle Grid Counting problems involve counting the total number of rectangles (including squares) in an m×n grid of cells. The formula uses combinations: choose 2 horizontal lines from (m+1) lines and 2 vertical lines from (n+1) lines.
Squares Grid
10 worksheets
Square Grid Counting problems involve counting the total number of squares (of all sizes) in an n×n grid of small squares. The total includes 1×1 squares, 2×2 squares, up to n×n squares. These problems use the formula for sum of squares.
Squares Rectangular
10 worksheets
Rectangular Grid Square Counting problems involve counting squares in an m×n grid (where m and n may be different). The number of squares is limited by the smaller dimension, and the formula sums over square sizes from 1 to min(m,n).
Squares With Diagonals
10 worksheets
Squares with Diagonals problems involve counting squares in figures where one or more squares have diagonals drawn. The diagonals create triangles but do not create new squares. These problems test understanding that diagonals only create triangles, not additional squares.
Triangles Complex
10 worksheets
Complex Triangle Counting problems involve figures with multiple intersecting lines, cevians, and composite shapes. These problems require systematic counting methods, labeling, and often combinatorial reasoning to count all triangles correctly.
Triangles Grid
10 worksheets
Triangular Grid Counting problems involve counting triangles in a grid of small equilateral triangles arranged in rows. These problems require counting both upward-pointing triangles and downward-pointing triangles of various sizes using combinatorial formulas.
Triangles Simple
10 worksheets
Simple Triangles Counting problems involve counting triangles in basic triangular figures such as a single triangle, a triangle with one median, a triangle with two medians, or a triangle divided into smaller congruent triangles. These foundational problems build the skills needed for more complex f...
Triangles Star
10 worksheets
Star Figure Triangle Counting problems involve counting triangles in 5-pointed stars (pentagrams) and 6-pointed stars (hexagrams). These figures contain many intersecting lines that create numerous triangles of various sizes and orientations.
Cube Dice
Adjacent Face Identification
10 worksheets
Adjacent Face Identification problems require you to determine which faces of a dice are next to each other (adjacent) and which are opposite. You will use the given information about a standard dice (opposite sums to 7) or from two different views of a custom dice to deduce the relationships.
Dice Net Completion
10 worksheets
Dice Net Completion problems present a partially filled net of a dice. Some faces have numbers (or symbols), and one or more are blank (marked '?'). You must determine the correct number/symbol for the blank face(s) based on the rule that the net folds into a valid cube (usually a standard or custom...
Dice Net Folding
10 worksheets
Dice Net Folding problems require you to visualize the folding of a 2D net into a 3D cube. You are typically asked to find which face will be opposite a given face, or which face will be in a specific position (top, front) after folding.
Dice Net Identification
10 worksheets
Dice Net Identification problems present an unfolded 2D layout (net) of a cube, and you must determine which 3D cube or dice configuration matches it, or identify which net cannot be folded into a cube. These problems test your understanding of spatial relationships between faces, particularly which...
Dice Opposite Calculation
10 worksheets
Dice Opposite Calculation problems often involve a single view where three faces of a dice are visible (meeting at a corner). Using the standard dice rule (opposite sum is 7) or logical deduction, you must find the face opposite to a given face. This is a more advanced form of opposite face determin...
Dice Rotation Sequence
10 worksheets
Dice Rotation Sequence problems provide an initial orientation of a dice (e.g., Top=1, Front=2). You are then given a sequence of rotations (e.g., Rotate Right, Rotate Forward) and must determine the final face on top (or front, right, etc.). These problems test your ability to track the movement of...
Multiple Dice Visible Sum
10 worksheets
Multiple Dice Visible Sum problems involve a stack or arrangement of multiple dice. You must calculate the total sum of all visible faces. These problems test your understanding of opposite faces (sum is constant) and how they cancel out when dice are stacked, as touching faces are hidden.
Opposite Face Determination
10 worksheets
Opposite Face Determination problems provide two or three different views (orientations) of the same dice. You must analyze these views to determine which face is opposite a given face. This is a classic dice reasoning problem that uses the principle that in any view, the faces you see are adjacent,...
Dot Situations
Dot Counting In Region
10 worksheets
Dot Counting in Region problems present a geometric figure with multiple dots placed in various regions. You must count how many dots fall within a specified region (e.g., the center point, a particular triangle, a sector of a circle). These problems test attention to detail and systematic counting ...
Dot Position After Rotation
10 worksheets
Dot Position After Rotation problems present a geometric figure with a dot in a specific region, and the figure is rotated by a certain angle (90° clockwise, 90° anticlockwise, or 180°). You must determine the new region where the dot will be located after rotation. These problems test spatial trans...
Mirror Image Dot Position
10 worksheets
Mirror Image Dot Position problems present a geometric figure with a dot in a specific region, and the figure is reflected in a mirror (vertical or horizontal). You must determine the new region where the dot will appear in the mirror image. These problems test spatial transformation and reflection ...
Single Dot Identification
10 worksheets
Single Dot Identification problems present a geometric figure (triangle with medians, square with diagonals, circle with radii, L-shape, etc.) with a single dot placed in one of its regions. You must identify which answer figure has the dot in exactly the same region, accounting for figure orientati...
Three Dots Matching
10 worksheets
Three Dots Matching problems are advanced dot situation puzzles where geometric figures contain three dots placed in specific regions. You must identify which answer figure has all three dots in exactly the same regions as the question figure. These problems test high-level spatial reasoning and pat...
Two Dots Matching
10 worksheets
Two Dots Matching problems involve geometric figures with two dots placed in specific regions. You must find which answer figure has both dots in exactly the same regions as the question figure. These problems test your ability to track multiple spatial positions simultaneously and match complex reg...
Embedded Figures
Text Line Embedding
10 worksheets
Text: Line Embedding problems present descriptions of complex line figures (e.g., ladder, grid, staircase, window with bars) and ask you to identify which one contains a specific simple line pattern (vertical line, horizontal line, diagonal line, L-shape, T-shape, plus sign, X-shape). Instead of vis...
Text Shape In Objects
10 worksheets
Text: Shape in Objects problems present a list of real-world objects, patterns, or structures and ask you to identify which one contains a specific geometric shape (triangle, square, circle, star, etc.). Instead of visual figures, these problems use textual descriptions, testing your ability to reca...
Visual Circle Embedding
10 worksheets
Visual Circle Embedding problems present a complex geometric figure (often a polygon with intersecting lines, overlapping shapes, or rotational patterns) and ask you to identify which of the given options contains a circle that is embedded within the main figure. The circle may be formed by the inte...
Visual Count Triangles
10 worksheets
Visual Count Triangles problems present a geometric figure (typically a large triangle divided by medians, cevians, or parallel lines) and ask you to count the total number of triangles of all sizes embedded within the figure. These problems test systematic counting skills, pattern recognition, and ...
Visual Negative Space
10 worksheets
Visual Negative Space problems present a figure composed of overlapping or adjacent shapes, and ask you to identify the shape formed by the empty spaces (negative space) between the positive shapes. The figure may contain a star, triangle, or other shape that appears as a void rather than as drawn l...
Visual Square Embedding
10 worksheets
Visual Square Embedding problems present a complex geometric figure (often a circle with intersecting lines, a grid pattern, or a star) and ask you to identify which of the given options contains a square that is embedded within the main figure. The square may be formed by the intersection of perpen...
Visual Star Embedding
10 worksheets
Visual Star Embedding problems present a complex geometric figure (often a regular pentagon with all diagonals, a hexagon with intersecting lines, or a multi-pointed star figure) and ask you to identify which of the given options contains a star shape that is embedded within the main figure. The sta...
Visual Triangle Embedding
10 worksheets
Visual Triangle Embedding problems present a complex geometric figure (often a square with intersecting lines, a hexagon, or a star) and ask you to identify which of the given options contains a triangle that is embedded within the main figure. The triangle may be formed by the intersection of lines...
Figure Analogy
Abstract Relationship Analogy
10 worksheets
Abstract Relationship Figure Analogy problems involve complex, progressive relationships between outer and inner shapes based on properties like number of sides. For example, the outer shape's side count determines the inner shape, and the inner shape's side count determines the next outer shape. Th...
Combined Rotation Scaling Analogy
10 worksheets
Combined Rotation-Scaling Figure Analogy problems involve two or more transformations applied in sequence. Common combinations include rotation followed by scaling, or scaling followed by rotation. You must identify both transformations and apply them to a new figure. These problems test advanced sp...
Conditional Transformation
10 worksheets
Conditional Transformation Figure Analogy problems involve transformations that depend on properties of the figure (e.g., number of sides, presence of dots, orientation). The transformation is applied only if certain conditions are met. These problems test logical rule application and property-based...
Element Addition Analogy
10 worksheets
Element Addition Figure Analogy problems involve adding a specific number of elements (dots, lines, shapes) to a figure. You must identify how many elements are added and apply the same addition to a new figure. These problems test your quantitative reasoning and pattern recognition in visual contex...
Element Count Progression
10 worksheets
Element Count Progression problems involve figures where the number of elements (dots, lines, shapes) increases by a fixed amount. You must identify the increment and apply it to a new figure. These problems test quantitative reasoning and pattern extension skills in visual contexts.
Geometric Operation Analogy
10 worksheets
Geometric Operation Figure Analogy problems involve figures that combine shapes using set operations like union (combination) or intersection (overlap). You must identify the operation and apply it to new shapes. These problems test your understanding of geometric set logic and shape combination rul...
Mirror Reflection Analogy
10 worksheets
Mirror Reflection Figure Analogy problems involve figures that are reflected across a vertical or horizontal axis. You must identify the reflection axis and apply the same mirror transformation to a new figure. These problems test your understanding of symmetry and your ability to visualize mirror i...
Multi Step Transformation
10 worksheets
Multi-Step Transformation Figure Analogy problems involve three or more transformations applied in sequence (e.g., rotate, then scale, then invert colors). You must identify all transformations and apply them to a new figure. These problems test advanced multi-step reasoning and transformation chain...
Pattern Inversion Analogy
10 worksheets
Pattern Inversion Figure Analogy problems involve figures where shading or fill patterns are inverted (light becomes dark, dark becomes light). You must identify the inversion rule and apply it to a new figure. These problems test your understanding of negative images and contrast reversal.
Positional Shift Analogy
10 worksheets
Positional Shift Figure Analogy problems involve figures where elements swap positions or move to new locations within the figure. You must identify the movement rule and apply it to a new figure. These problems test your understanding of spatial relationships and element rearrangement.
Rotation 180 Analogy
10 worksheets
180° Rotation Figure Analogy problems involve figures rotated by a half turn (180 degrees). This transformation turns the figure upside down, with top becoming bottom and left becoming right. These problems test your ability to visualize point reflection and understand rotational symmetry.
Rotation 90 Analogy
10 worksheets
90° Rotation Figure Analogy problems involve figures that are rotated by a quarter turn (90 degrees) either clockwise or anticlockwise. You must identify the rotation direction and apply the same transformation to a new figure. These problems test your ability to visualize spatial rotations and unde...
Shape Transformation Analogy
10 worksheets
Shape Transformation Figure Analogy problems involve figures where the inner shape transforms to match the outer shape's type. For example, a square inside a circle becomes a circle inside a circle. You must identify the transformation rule and apply it to a new figure. These problems test pattern r...
Size Scaling Analogy
10 worksheets
Size Scaling Figure Analogy problems involve figures that are enlarged or reduced by a specific scale factor. You must identify the scaling factor and apply it to a new figure. These problems test your understanding of proportional size changes and your ability to identify scale factors from visual ...
Figure Classification
Color Based Classification
10 worksheets
Color Based Classification problems involve grouping figures based on their color properties. Common classifications include warm colors (red, orange, yellow) vs cool colors (blue, green, purple), primary vs secondary colors, or light vs dark shades. These problems test your knowledge of color theor...
Fill Property Classification
10 worksheets
Fill Property Classification problems involve grouping figures based on whether they are filled (solid color inside) or outlined (only border, transparent interior). These problems test your ability to recognize fill patterns and distinguish between solid and hollow shapes.
Multi Attribute Classification
10 worksheets
Multi-Attribute Classification problems involve grouping figures based on two or more visual properties simultaneously (e.g., large AND filled vs small AND outlined). These complex problems test your ability to recognize patterns that combine multiple attributes like size, fill, color, and shape.
Opacity Classification
10 worksheets
Opacity Classification problems involve grouping figures based on their transparency level - fully opaque (solid, no see-through) vs partially transparent (semi-transparent, allows background visibility). These problems test your ability to perceive and categorize different levels of fill transparen...
Regular Vs Irregular Classification
10 worksheets
Regular vs Irregular Classification problems involve grouping polygons based on whether they are regular (all sides equal, all angles equal) or irregular (sides and/or angles not all equal). These problems test your understanding of geometric regularity and polygon properties.
Rotation Classification
10 worksheets
Rotation Classification problems involve grouping figures based on their orientation or rotation angle. Common distinctions include axis-aligned (0° or 90°) vs diagonal (45° or 135°) orientation. These problems test your ability to perceive and categorize rotational differences.
Shape Type Classification
10 worksheets
Shape Type Classification problems involve grouping figures based on their fundamental geometric shape categories (e.g., polygons vs circles, quadrilaterals vs triangles, regular vs irregular polygons). These foundational problems test your ability to recognize and categorize basic geometric forms.
Size Classification
10 worksheets
Stroke Thickness Classification
10 worksheets
Stroke Thickness Classification problems involve grouping figures based on the thickness of their outlines or borders. Common distinctions include thick borders vs thin borders. These problems test your attention to fine visual details like line width.
Symmetry Classification
10 worksheets
Symmetry Classification problems involve grouping figures based on whether they possess symmetry (line symmetry or rotational symmetry) or are asymmetrical. These problems test your ability to identify mirror images and symmetric properties in geometric figures.
Figure Matrix
Diagonal Pattern Matrix
10 worksheets
Diagonal Pattern Matrix problems involve patterns along the main diagonal (top-left to bottom-right), anti-diagonal (top-right to bottom-left), or both diagonals simultaneously. Cells on the diagonal share a common property (e.g., all filled, all rotated, all same color) while off-diagonal cells hav...
Horizontal Pattern Matrix
10 worksheets
Horizontal Pattern Matrix problems present a 3x3 matrix where each row follows an independent progression rule. The missing figure is typically in the last cell of the last row (bottom-right corner). You must identify how figures change from left to right in each row—through shape progression, color...
Operation Based Matrix
10 worksheets
Operation-Based Matrix problems involve arithmetic or logical operations between cells in the same row or column. Common operations include addition (element count adds), subtraction (difference), XOR (exclusive OR), or overlay (shapes combine). The missing cell is the result of applying the operati...
Vertical Pattern Matrix
10 worksheets
Vertical Pattern Matrix problems present a 3x3 matrix where each column follows an independent progression rule. The missing figure is typically in the bottom row of the last column. You must identify how figures change from top to bottom in each column—through shape progression, color changes, size...
Figure Series
Addition Or Elimination
10 worksheets
Addition/Elimination problems feature series where elements (dots, lines, small shapes) are added to or removed from the figure at each step. The number of elements may increase by a constant amount (arithmetic progression) or follow another pattern. You must count the elements and determine the nex...
Clockwise Movement
10 worksheets
Clockwise Movement problems involve figures that move to different positions within a fixed frame (often the four corners of a square or circle). The figure moves clockwise or anticlockwise by one position at each step. You must determine the movement direction and predict the next position.
Color Alternation
10 worksheets
Color Alternation problems feature figures that change color in a pattern while the shape often remains constant. The colors may alternate between two colors, cycle through three or more colors, or follow a specific sequence (e.g., Red→Blue→Green→Red). You must identify the color pattern and predict...
Diagonal Movement
10 worksheets
Diagonal Movement problems feature figures that move along diagonal paths within a square or rectangular frame. Common patterns include moving from top-left to bottom-right and back, bouncing off corners, or alternating between two diagonal positions. You must track the movement pattern and predict ...
Flip Or Rotation
10 worksheets
Flip/Rotation problems involve figures that undergo both reflection (flip across horizontal or vertical axis) and rotation (angular turn) in sequence. These combined transformations create more complex patterns that require careful tracking of both operations. You must determine the transformation s...
Horizontal Shifting
10 worksheets
Horizontal Shifting problems feature figures that move horizontally (left or right) or vertically (up or down) by a fixed distance at each step. The movement may be one-dimensional (only horizontal) or two-dimensional (both axes). You must determine the direction and step size to predict the next po...
Rotation Series
10 worksheets
Rotation Series problems present a sequence of identical or similar shapes that rotate by a fixed angle at each step. The rotation can be clockwise or anticlockwise, with common step angles including 15°, 30°, 45°, 60°, 90°, and 180°. You must determine the rotation pattern and identify the next fig...
Shape Transformation
10 worksheets
Shape Transformation problems feature a series where each figure transforms into a different geometric shape. Common transformations include increasing the number of sides (triangle→square→pentagon→hexagon), changing from regular to star shapes, or alternating between shape types. You must identify ...
Size Progression
10 worksheets
Size Progression problems involve figures that change in size (increase or decrease) following a consistent pattern. The progression can be arithmetic (adding a constant each step) or geometric (multiplying by a constant ratio). You must identify the size pattern and determine the next figure's dime...
Grouping Figures
Group By Color
10 worksheets
Group by Color problems involve grouping figures based on their color or shade. Common classifications include grouping by specific colors (red, blue, green) or by color families (warm colors vs cool colors). These problems test your ability to perceive and categorize visual color properties.
Group By Convexity
10 worksheets
Group by Convexity problems involve classifying figures based on whether they are convex (all interior angles < 180°, shape bulges outward) or concave (has at least one interior angle > 180°, has an indentation or 'caved-in' region). These problems test understanding of geometric convexity and shape...
Group By Fill Pattern
10 worksheets
Group by Fill Pattern problems involve grouping figures based on their interior fill characteristics. Common fill types include solid (completely filled), hollow (only outline), striped (has stripe pattern), dotted (has dot pattern), and crosshatch. These problems test your ability to recognize and ...
Group By Line Type
10 worksheets
Group by Line Type problems involve classifying figures based on whether their boundaries are curved, straight, or a mix of both. Circles have curved edges, polygons have straight edges, and shapes like hearts or stars may have mixed edges. These problems test understanding of geometric edge propert...
Group By Multiple Attributes
10 worksheets
Group by Multiple Attributes problems involve grouping figures based on two or more visual properties simultaneously (e.g., shape AND size AND fill). These complex problems test your ability to recognize patterns that combine multiple attributes and to classify figures using logical AND conditions.
Group By Number Of Sides
10 worksheets
Group by Number of Sides problems involve classifying polygons based on how many sides they have. Common categories include triangles (3 sides), quadrilaterals (4 sides), pentagons (5 sides), hexagons (6 sides), and circles (0 sides). These problems test your understanding of polygon properties and ...
Group By Orientation
10 worksheets
Group by Orientation problems involve grouping figures based on their rotation angle or facing direction. Common orientations include axis-aligned (0° or 90°), diagonal (45°), or specific facing directions. These problems test your ability to perceive and categorize angular differences.
Group By Shape
10 worksheets
Group by Shape problems present a set of geometric figures and ask you to classify them based on their fundamental geometric shape. Common shape categories include circles, triangles, squares, rectangles, pentagons, hexagons, and stars. These foundational problems test your ability to recognize and ...
Group By Shape And Color
10 worksheets
Group by Shape and Color problems involve grouping figures based on TWO attributes simultaneously: both shape AND color must match. This is a more advanced classification that tests your ability to recognize when figures share multiple properties.
Group By Size
10 worksheets
Group by Size problems involve grouping figures based on their relative dimensions. Figures are typically classified as large, medium, or small. These problems test your ability to compare sizes and identify distinct size categories.
Group By Symmetry
10 worksheets
Group by Symmetry problems involve classifying figures based on their symmetry properties. Common symmetry types include radial symmetry (multiple lines through center), bilateral symmetry (one mirror line), rotational symmetry (looks same after rotation), and asymmetry (no symmetry). These problems...
Hierarchical Grouping
10 worksheets
Hierarchical Grouping problems involve multi-level classification where figures are grouped first by one attribute, and then within each group, further subgrouped by another attribute. These problems test your ability to understand nested classification structures and apply multiple sorting criteria...
Odd One Out Color
10 worksheets
Odd One Out by Color problems present a set of figures where most share a common color, and one figure has a different color. You must identify which figure has a different color. These problems test color perception and pattern recognition.
Odd One Out Multiple
10 worksheets
Odd One Out by Multiple Attributes problems present a set of figures where most share a combination of attributes (shape, color, size, fill), and one figure differs in one or more attributes. You must identify which figure is different based on multiple criteria. These problems test advanced pattern...
Odd One Out Shape
10 worksheets
Odd One Out by Shape problems present a set of figures where most share a common shape property, and one figure is different. You must identify which figure has a different geometric shape from the others. These problems test pattern recognition and classification skills.
Venn Diagram Grouping
10 worksheets
Venn Diagram Grouping problems involve classifying figures into four categories based on two overlapping attributes: figures that have only Attribute A, only Attribute B, both A and B, or neither A nor B. These problems test understanding of set theory and overlapping categories.
Hidden Figures
Camouflaged Figure
10 worksheets
Camouflaged Figure problems hide a simple shape (circle, square, triangle, diamond) within a repetitive background pattern such as stripes, checkerboard, dots, concentric circles, or waves. The hidden shape uses colors similar to the pattern, making it blend in. You must find the irregularity in the...
Complex Embedding
10 worksheets
Complex Embedding problems present a figure with a very large number (20 or more) of overlapping shapes of various types (circles, squares, triangles, stars, hearts, diamonds). The hidden shape is camouflaged among this visual chaos, often drawn with very low opacity. These problems test your abilit...
Figure Ground Reversal
10 worksheets
Figure-Ground Reversal problems (Rubin vase type) present a figure where you can see either one shape or another, depending on what you perceive as the figure (foreground) and what as the ground (background). The classic example is the Rubin vase: you can see two faces or a vase. The hidden shape is...
Hidden Circle
10 worksheets
Hidden Circle problems present a complex figure composed of overlapping polygons (squares, triangles, pentagons) and ask you to locate a circular shape that is embedded within. The circle is often drawn with very low opacity, making it blend with the background and the intersecting lines of other sh...
Hidden Heart
10 worksheets
Hidden Heart problems present a complex figure composed of geometric shapes and ask you to locate a heart shape embedded within. The heart is a unique shape with two rounded lobes at the top and a point at the bottom. It is often camouflaged by overlapping polygons and drawn with low opacity, making...
Hidden Triangle
10 worksheets
Hidden Triangle problems require you to find a triangular shape embedded within a larger figure composed of various polygons and intersecting lines. The triangle may be formed by the intersection of lines, by the outline of a specific region, or by the negative space. Unlike the other shapes, the tr...
Impossible Figure Hidden
10 worksheets
Impossible Figure Hidden problems use impossible figures (like the Penrose triangle, devil's fork, or endless staircase) to create a hidden shape. The impossible geometry creates a perceptual paradox, and within that paradox, a simple shape (triangle, rectangle, cube) emerges. These problems test yo...
Multiple Hidden Figures
10 worksheets
Multiple Hidden Figures problems present a single complex figure that contains two or three distinct hidden shapes (e.g., a circle, a square, and a triangle). You must locate all of them. These problems test your ability to perceive multiple layers of camouflage and to segregate different figures fr...
Negative Space
10 worksheets
Negative Space problems involve finding a shape that is not drawn with lines but is formed by the empty spaces (the background) between the drawn objects. This is a classic figure-ground illusion (like the Rubin vase). You must shift your perception from seeing the drawn objects (positive space) to ...
Occlusion Hiding
10 worksheets
Occlusion Hiding problems hide a simple shape (circle, square, triangle) behind other, larger shapes. The hidden shape is partially visible, peeking out from behind the foreground objects. You must identify the shape based on the visible parts and the context of the overlapping figures.
Optical Illusion Hidden
10 worksheets
Optical Illusion Hidden problems present figures that use well-known visual illusions to create the perception of a shape that is not actually drawn. The shape emerges from the way your brain processes colors, contrasts, and patterns. Examples include the Kanizsa triangle (illusory contours), the Mu...
Rotational Hidden
10 worksheets
Rotational Hidden problems present a figure with rotational symmetry (3-fold, 4-fold, 6-fold, 8-fold). A simple shape (circle, square, triangle, star, hexagon) is hidden at the center, formed by the arrangement of the repeating elements around it. You must recognize the overall pattern created by th...
Simple Embedded Figure
10 worksheets
Simple Embedded Figure problems present a complex figure composed of multiple overlapping shapes and ask you to identify a basic shape (circle, square, triangle, or diamond) hidden within. This is a foundational problem type that combines elements of shape recognition, figure-ground perception, and ...
Incomplete Pattern Completion
Complex Geometric
10 worksheets
Complex Geometric Pattern Completion problems involve advanced geometric configurations like hexagonal tessellations, concentric circles, pentagonal rings, overlapping squares, and triangular grids. You must identify the missing element that maintains the geometric rule or symmetry of the pattern.
Logical Rules
10 worksheets
Logical Rules problems involve patterns governed by logical rules rather than purely geometric transformations. Common rules include Boolean logic (true/false alternation), number-shape mapping (1 dot = ●, 2 dots = ●●), orientation sequences (up→right→down→left), and count progressions (increasing n...
Matrix Pattern
10 worksheets
Matrix Pattern problems present a 3×3 grid of geometric figures, with one cell missing (typically the bottom-right corner). You must identify the pattern that governs the arrangement—either row-wise (each row follows a progression), column-wise (each column follows a progression), or using arithmeti...
Missing Quarter
10 worksheets
Missing Quarter problems present a geometric figure (circle, square, triangle, diamond, star) divided into four quarters, with three quarters filled and one quarter missing. You must identify which symbol or pattern completes the figure such that all four quarters are identical or follow a consisten...
Multi Element Pattern
10 worksheets
Multi-Element Pattern problems involve figures with multiple missing elements (4 or more) that need to be identified to complete the pattern. Common examples include checkerboards, mandalas, mosaics, and large grids where several cells are empty. These problems test systematic pattern recognition an...
Odd One Out
10 worksheets
Odd One Out problems present a set of 4-5 figures that share a common pattern or property, except for one figure that does not conform. You must identify which figure is the odd one out based on shape, size, orientation, fill pattern, number of elements, or logical rule.
Perspective And 3D
10 worksheets
Perspective & 3D Pattern Completion problems involve three-dimensional geometric figures like cubes, pyramids, staircases, and isometric shapes. You must identify the missing edge, face, or element that completes the 3D perspective drawing while maintaining vanishing point convergence and parallel l...
Rotational Symmetry
10 worksheets
Rotational Symmetry problems present figures that have rotational symmetry of order n (2, 3, 4, 5, 6, or 8). You must identify the missing element such that when the figure is rotated by 360°/n degrees, it looks identical. Common examples include pinwheels, windmills, stars, and rosettes.
Size Progression
10 worksheets
Size Progression problems involve figures that increase or decrease in size following a consistent pattern (arithmetic or geometric progression). You must identify the next figure in the sequence based on the size progression rule.
Symmetrical Completion
10 worksheets
Symmetrical Completion problems present a figure that is partially complete, with one side missing elements that mirror the other side. You must identify which elements need to be added to make the figure bilaterally symmetric (mirror image across a vertical or horizontal axis). Common examples incl...
Visual Analogy
10 worksheets
Visual Analogy problems present a relationship between two figures (A:B) and ask you to apply the same relationship to a third figure (C) to find the missing figure (D). The relationship can be transformation-based (solid→hollow, large→small, rotation, reflection) or relation-based (parent→child, ca...
Mirror Images
Alphabet Mirror Easy
10 worksheets
Alphabet Mirror Easy problems involve identifying the mirror image (lateral inversion) of single capital letters. Only certain letters like A, H, I, M, O, T, U, V, W, X, Y remain unchanged or produce recognizable mirror images. These problems test your knowledge of vertically symmetric letters and b...
Alphabet Mirror Hard
10 worksheets
Alphabet Mirror Hard problems present the mirror image of a word and ask you to find the original word. This is the inverse of the medium difficulty problems. You must reverse the mirror operation: reverse the order of the given mirrored word, then mirror each letter (which is its own inverse).
Alphabet Mirror Medium
10 worksheets
Alphabet Mirror Medium problems involve finding the mirror image of whole words or identifying the original word from its mirror reflection. Since mirrors reverse left and right, the order of letters also reverses. Words made of vertically symmetric letters (MOM, WOW, HIM) are common in these proble...
Clock Mirror Easy
10 worksheets
Clock Mirror Hard
10 worksheets
Clock Mirror Hard problems involve finding the time difference between actual and mirror times, or solving problems with multiple clocks and reflections. These advanced problems test deeper understanding of the mirror time relationship.
Clock Mirror Medium
10 worksheets
Composite Mirror Hard
10 worksheets
Composite Mirror problems involve applying two or more mirror reflections in sequence. Two perpendicular mirrors (vertical then horizontal) produce a 180° rotation of the original object. These problems test understanding of combined mirror transformations.
Mirror Position Easy
10 worksheets
Mirror Position Easy problems involve understanding how a person's actions appear in a mirror. When a person raises their left hand, the mirror image raises its right hand (and vice versa). These problems test the fundamental left-right reversal property of mirrors.
Mirror Position Medium
10 worksheets
Mirror Position Medium problems involve multiple observers or mirrors. For example, two persons A and B stand facing each other with a mirror between them. You must determine how each sees the other's reflection, accounting for lateral inversion.
Shape Mirror Easy
10 worksheets
Shape Mirror Easy problems involve finding the mirror image of basic geometric shapes like triangles, squares, circles, arrows, and L-shapes. A vertical mirror reverses left and right, so the shape's orientation changes accordingly.
Shape Mirror Medium
10 worksheets
Shape Mirror Medium problems involve composite shapes made of multiple components (e.g., a semicircle on the left and a triangle on the right). The mirror swaps the positions of the left and right components and reverses each component's orientation.
Water Reflection Easy
10 worksheets
Water Reflection (horizontal mirror) problems involve the image seen when an object is reflected in water. Unlike a vertical mirror (left-right reversal), water reflection reverses top and bottom. For letters and words, this creates a different effect.
Missing Figure
Alternating Colors
10 worksheets
Alternating Colors problems feature figures that change color in a repeating pattern. Common patterns include alternating between two colors (red, blue, red, blue) or cycling through three or more colors. You must identify the color sequence and predict the next figure's color.
Alternating Plus Circle
10 worksheets
Alternating Plus-Circle problems feature a complex alternating pattern between two different composite figures: typically a plus symbol inside a circle, and a rotated square. The pattern may also involve rotation of the square element.
Alternating Shapes
10 worksheets
Alternating Shapes problems present a series where two or more shape types alternate in a fixed sequence. Common patterns include circle-square-circle-square (alternating), circle-square-triangle-circle (cyclic), or alternating between filled and hollow versions of the same shape.
Arithmetic Element Count
10 worksheets
Arithmetic Element Count problems feature figures where the number of elements (dots, stars, lines) increases by a constant amount each step. This is a specific case of element addition pattern with constant increment (arithmetic progression).
Arrow Rotation
10 worksheets
Arrow Rotation problems feature arrows that rotate by a fixed angle at each step. The arrow may rotate clockwise or anticlockwise, with common step angles of 45°, 90°, or 180°. You must determine the direction of the next arrow based on the rotation pattern.
Dual Pattern Rotation And Shading
10 worksheets
Dual Pattern problems involve two simultaneous transformations: rotation (angle change) and shading (fill intensity change). Each transformation follows its own independent pattern. You must track both and apply both to find the next figure.
Element Addition Pattern
10 worksheets
Element Addition Pattern problems present a series where each figure adds a fixed number of elements (dots, stars, lines, small shapes) at each step. The addition may follow arithmetic progression (adding constant), geometric progression (multiplying), or other sequences. You must count the elements...
Fibonacci Element Sequence
10 worksheets
Fibonacci Element Sequence problems feature figures where the number of elements follows the Fibonacci sequence: each term is the sum of the two preceding terms (1, 1, 2, 3, 5, 8, 13...). You must calculate the next element count using the recursive formula.
Geometric Progression
10 worksheets
Growing Squares
10 worksheets
Growing Squares problems feature concentric or nested squares that increase in size at each step. The side length may increase by a constant amount (arithmetic progression) or by a constant ratio (geometric progression). You must calculate the next square's size.
Linear Rotation Sequence
10 worksheets
Linear Rotation Sequence problems present a series of geometric figures that rotate by a constant angle at each step. The rotation may be clockwise or anticlockwise, with common step angles including 45°, 90°, and 180°. You must calculate the next rotation angle and identify the figure with the corr...
Matrix Row Pattern
10 worksheets
Matrix Row Pattern problems present a 3x3 matrix where each row follows a progression rule (shape transformation, rotation, addition, etc.). One cell is missing (usually bottom-right). You must identify the row pattern and determine the missing figure.
Mirror Reflection
10 worksheets
Mirror Reflection problems feature figures that alternate with their mirror images. The reflection may be horizontal (left-right flip) or vertical (top-bottom flip). You must identify the reflection pattern and predict the next figure's orientation.
Multi Dimensional Matrix
10 worksheets
Multi-Dimensional Matrix problems present a 3x3 matrix where rows determine one attribute (e.g., shape) and columns determine another attribute (e.g., fill pattern). The missing cell is at the intersection of a specific row and column, inheriting both attributes.
Nested Multi Speed Rotation
10 worksheets
Nested Multi-Speed Rotation problems feature figures with two or more rotating elements (e.g., outer square and inner line) that rotate at different speeds. Each element follows its own rotation pattern. You must track both rotations and apply both to find the next figure.
Position Shifting
10 worksheets
Position Shifting problems feature elements that move to different positions within a fixed frame (circle, square, grid). The movement may be horizontal (left/right), vertical (up/down), or diagonal, with constant step size. You must track the element's position and predict its next location.
Set Operations Visualization
10 worksheets
Set Operations Visualization problems feature two or more shapes (usually circles) that move closer together or apart. The pattern tracks the distance between shapes, leading to intersection, overlap, or separation. You must predict the next position based on the movement pattern.
Shading Progression
10 worksheets
Shading Progression problems feature figures that change in darkness or fill pattern intensity. The progression may be from light to dark (or dark to light), following an arithmetic progression in grayscale values. These problems test your ability to perceive and order shades.
Shape Transformation Series
10 worksheets
Shape Transformation Series problems present a sequence where shapes change into different geometric forms. Common transformations include adding one side each step (triangle→square→pentagon→hexagon), changing from regular to star shapes, or alternating between shape families.
Size Progression
10 worksheets
Size Progression problems feature figures that change in size (increase or decrease) following a consistent pattern. The progression can be arithmetic (adding constant each step) or geometric (multiplying by constant ratio). You must identify the size pattern and determine the next figure's dimensio...
Odd Figure Out
Angle Property Oddity
10 worksheets
Angle Property Oddity problems present five polygons where four contain only acute angles (less than 90°) and/or right angles (exactly 90°), and one contains at least one obtuse angle (greater than 90°). You must identify which figure has an obtuse angle. These problems test understanding of angle c...
Basic Shape Oddity
10 worksheets
Basic Shape Oddity problems present five figures where four share the same geometric shape (e.g., all circles) and one has a different shape (e.g., a square). You must identify which figure does not match the common shape. These foundational problems test basic shape recognition and pattern identifi...
Curved Vs Straight Edges
10 worksheets
Curved vs Straight Edges problems present five figures where four have one type of edge (curved or straight) and one has the opposite. You must identify which figure has a different edge type. These problems test understanding of geometric edge properties and shape classification.
Division Pattern Oddity
10 worksheets
Division Pattern Oddity problems present five figures where four are divided into the same number of sections by internal lines, and one is divided into a different number of sections. You must count the number of divisions or sections to identify the outlier. These problems test counting skills and...
Element Count Oddity
10 worksheets
Element Count Oddity problems present five figures where four have the same number of internal elements (dots, lines, small shapes) and one has a different count. You must count elements systematically to identify the outlier. These problems test attention to detail and quantitative comparison skill...
Internal Position Oddity
10 worksheets
Internal Position Oddity problems present five figures where four have an internal element (dot, circle, or small shape) in the same position (e.g., top-left corner) and one has it in a different position (e.g., center). You must identify which figure has a differently placed internal element. These...
Line Curve Combination
10 worksheets
Line-Curve Combination problems present five figures where four contain both straight lines AND curves, and one contains only straight edges or only curved edges. You must identify which figure lacks the combination property. These advanced problems test comprehensive edge type analysis.
Multi Property Complex Oddity
10 worksheets
Multi-Property Complex Oddity problems present five figures that differ across multiple attributes simultaneously. The odd figure differs from the others in shape type, number of elements, AND shading pattern - all three properties. These advanced problems test comprehensive visual analysis and mult...
Nested Shapes Relationship
10 worksheets
Nested Shapes Relationship problems present five figures where four have the same nesting order (e.g., square outside, circle inside) and one has the reverse order (circle outside, square inside). You must identify which figure has a different nesting relationship. These problems test understanding ...
Open Vs Closed Shapes
10 worksheets
Open vs Closed Shapes problems present five figures where four are closed shapes (continuous boundary enclosing area) and one is an open shape (boundary has a gap). You must identify which figure is open. These problems test understanding of boundary continuity and shape completeness.
Polygon Sides Property
10 worksheets
Polygon Sides Property problems present five polygons where four have an even number of sides (4,6,8) and one has an odd number of sides (3,5,7), or vice versa. You must identify which polygon has a different side count parity. These problems test knowledge of polygon properties and parity classific...
Rotation Orientation Oddity
10 worksheets
Rotation Orientation Oddity problems present five figures where four have the same orientation (pointing direction) and one is rotated differently (often 180° opposite). You must identify which figure has a different orientation. These problems test spatial visualization and angle perception.
Shading Pattern Oddity
10 worksheets
Shading Pattern Oddity problems present five figures where four share the same fill pattern (solid, striped, dotted, or hatched) and one has a different pattern. You must identify which figure has a different internal shading. These problems test visual discrimination of patterns and attention to de...
Symmetry Property Oddity
10 worksheets
Symmetry Property Oddity problems present five figures where four have symmetry (reflective or rotational) and one is asymmetric. You must identify which figure does not possess the symmetry property. These problems test understanding of geometric symmetry and visual perception of mirror images.
Paper Cutting
Complex Cut Shape
10 worksheets
Complex Cut Shape problems involve irregular or compound shapes (like L-shapes, T-shapes, or combined geometric figures) cut from folded paper. These problems test your ability to visualize how complex shapes reflect and combine across fold lines.
Cut Shape Prediction
10 worksheets
Cut Shape Prediction problems present a folded paper with a cut made along some edge or shape. You must determine the shape of the cutout or the pattern of openings when the paper is unfolded. These problems test your understanding of how cut shapes reflect across fold lines.
Hole Punch Symmetry
10 worksheets
Hole Punch Symmetry problems involve a paper folded one or more times, with a hole punched through all layers. You must determine the pattern of holes when the paper is unfolded. These problems test your understanding of how holes reflect across fold lines.
Reverse Reasoning
10 worksheets
Reverse Reasoning problems present the unfolded paper with holes or cutouts and ask you to determine how the paper was folded and where the punch/cut was made. These problems test your ability to work backward from the final pattern to the original action.
Rotational Symmetry
10 worksheets
Rotational Symmetry problems involve paper folded in a way that creates rotational rather than reflective symmetry. For example, folding the paper in a pinwheel pattern creates 4-fold rotational symmetry. These problems test understanding of rotational transformations in folded paper.
Sequential Folds And Cuts
10 worksheets
Sequential Folds & Cuts problems involve multiple folding and cutting operations performed in sequence. You must track how each cut propagates through the layers created by previous folds. These problems test advanced spatial reasoning and sequential processing skills.
Paper Folding
Asymmetric Folding
10 worksheets
Asymmetric Folding problems involve folding a paper at positions that are NOT at the center (e.g., folding 1/3 from the edge). This creates unequal overlapping regions where some parts have 2 layers and others have 1 layer. These problems test advanced spatial reasoning and the ability to handle par...
Corner Fold Basic
10 worksheets
Corner Fold problems involve folding one corner of a square paper to another point (often the center or opposite corner). This creates a triangular folded region where the paper has 2 layers, while the rest remains single-layered. These problems test your ability to handle partial folds and reflecti...
Cutting Pattern Advanced
10 worksheets
Cutting Pattern problems involve cutting a shape (triangle, semicircle, etc.) from a folded paper, rather than punching small holes. When unfolded, the cut shape appears multiple times in symmetric positions. These problems test your ability to visualize how cut shapes replicate across fold lines.
Diagonal Fold Basic
10 worksheets
Diagonal Fold problems involve folding a square paper along one of its diagonals (top-left to bottom-right or top-right to bottom-left), then punching holes through the folded layers. After unfolding, the holes appear in symmetric positions about the diagonal fold line. These problems test your abil...
Double Perpendicular Fold
10 worksheets
Double Perpendicular Fold problems involve folding a square paper twice: first horizontally (or vertically), then the second fold perpendicular to the first. This creates 4 layers of paper. After punching holes, you must determine the pattern of holes when the paper is completely unfolded. These pro...
Mixed Direction Fold
10 worksheets
Mixed Direction Fold problems involve folding a paper in two different directions that are not perpendicular, such as a horizontal fold followed by a diagonal fold. These create complex symmetry patterns that are not simple grids. These problems test advanced spatial reasoning and the ability to com...
Multiple Hole Punches
10 worksheets
Multiple Hole Punches problems involve punching several holes (at different positions) through a folded paper. After unfolding, each hole creates reflections across the fold line(s), resulting in multiple hole patterns that may overlap. These problems test your ability to handle multiple simultaneou...
Olympiad Complex Pattern
10 worksheets
Olympiad Complex Pattern problems combine multiple folds, multiple punches, and asymmetric elements in a single puzzle. These are the most challenging paper folding problems, requiring advanced spatial visualization, systematic coordinate tracking, and the ability to handle multiple simultaneous tra...
Partial Overlap Multi Paper
10 worksheets
Partial Overlap Multi-Paper problems involve two or more separate papers placed with partial overlap, then punched together. Unlike folding, the papers are not physically connected. Each paper receives its own holes based on where the punch penetrated it. These problems test your ability to handle m...
Reverse Engineering Problem
10 worksheets
Reverse Engineering problems present the final unfolded hole pattern and ask you to determine the fold sequence (or which fold pattern could have produced it). These problems test your ability to work backwards from the result to the process, requiring deep understanding of symmetry and reflection p...
Single Horizontal Fold Basic
10 worksheets
Single Horizontal Fold problems involve folding a square paper horizontally (top to bottom or bottom to top), then punching one or more holes through the folded layers. After unfolding, the holes appear in symmetric positions about the horizontal fold line. These problems test your understanding of ...
Single Vertical Fold Basic
10 worksheets
Single Vertical Fold problems involve folding a square paper vertically (left to right or right to left), then punching one or more holes through the folded layers. After unfolding, the holes appear in symmetric positions about the vertical fold line. These problems test your understanding of reflec...
Transparency And 3D Effects
10 worksheets
Transparency and 3D Effects problems consider real-world paper properties like thickness and opacity, not just idealized zero-thickness sheets. These advanced problems ask which layers show holes most clearly, or how multiple layers affect visibility. These problems test your understanding of physic...
Triple Fold Complex
10 worksheets
Triple Fold Complex problems involve folding a paper three times, creating 8 layers. These problems combine multiple reflections across different axes, resulting in complex symmetric patterns. These problems test advanced spatial visualization and the ability to track multiple transformations sequen...
Z Fold Or Accordion Pattern
10 worksheets
Z-Fold (Accordion) problems involve folding a paper with two parallel folds in opposite directions, creating a Z-shaped stack of 3 layers. Unlike perpendicular folds, Z-folds do NOT create a simple 2^n layer count. These problems test your ability to handle non-standard fold sequences where layers a...
Pattern Completion
Complex Transformation
10 worksheets
Complex Transformation problems involve figures that change in multiple attributes simultaneously: shape, size, color, shading, orientation, or element count. You must track all these changes to determine the next figure in the sequence. These problems test advanced visual pattern recognition and mu...
Matrix Pattern Completion
10 worksheets
Matrix Pattern Completion problems present a 3x3 grid of figures with one missing figure. You must identify the pattern that applies across rows and/or columns to determine the missing figure. These problems test your ability to analyze relationships in two-dimensional visual arrays.
Rotation Pattern
10 worksheets
Rotation Pattern problems involve figures that rotate by a fixed angle (usually 90°, 180°, or 270°) at each step. You must identify the rotation direction and magnitude to determine the next or missing figure in the sequence. These problems test your mental rotation ability and understanding of angu...
Simple Shape Sequence
10 worksheets
Simple Shape Sequence problems present a series of basic geometric shapes (circles, squares, triangles, diamonds, etc.) arranged in a repeating or alternating pattern. You must identify the pattern rule and determine the next shape in the sequence. These problems test your ability to recognize repet...
Size Progression
10 worksheets
Size Progression problems involve figures that increase or decrease in size following a consistent pattern (arithmetic or geometric progression). You must identify the next figure in the sequence based on the size progression rule.
Symmetry Completion
10 worksheets
Symmetry Completion problems present a figure or pattern with one half missing or partially incomplete. You must complete the pattern based on symmetry principles (mirror symmetry, rotational symmetry, or translational symmetry). These problems test your understanding of symmetry and ability to visu...
Pattern Sequence
Chaotic Sequence
10 worksheets
Chaotic Sequence problems present visual or numerical patterns that are not immediately obvious. The pattern may involve prime numbers, square numbers, cubes, Fibonacci numbers, or other mathematical progressions. You must decode the hidden mathematical rule to find the next term.
Complex Pattern Sequence
10 worksheets
Complex Pattern Sequence problems involve figures where multiple attributes change simultaneously—shape, size, color, orientation, or position. You must track each attribute's progression independently and combine them to find the next figure.
Counting Sequence
10 worksheets
Counting Sequence problems involve patterns where the number of identical shapes (or elements) increases or decreases by a fixed amount each step. You must count the elements in each figure and identify the arithmetic progression to find the next term.
Fractal Sequence
10 worksheets
Fractal Sequence problems involve patterns where each figure is built by recursively applying a rule to the previous figure. These self-similar patterns appear in complex visual reasoning and test your ability to recognize recursive transformations.
Rotation Sequence
10 worksheets
Shape Sequence
10 worksheets
Shape Sequence problems present a series of geometric shapes (circles, squares, triangles, diamonds, etc.) arranged in a specific order. You must identify the underlying pattern and determine the next shape in the sequence. Common patterns include alternating between two shapes, repeating fixed cycl...
Punched Patterns
Offset Folds
10 worksheets
Offset Folds problems involve folding paper at non-centered positions (e.g., folding at column 2 of a 5×5 grid). The folds are asymmetrical, creating different-sized sections. When punched and unfolded, the holes appear in positions that are mirrored across these offset fold lines, creating non-unif...
Single Fold Symmetrical
10 worksheets
Single Fold Symmetrical problems involve folding a paper once (either horizontally or vertically, usually at the center) and punching a hole through all layers. When unfolded, the hole appears as a mirror image across the fold line. These problems test your understanding of reflection symmetry and b...
Three Folds
10 worksheets
Three Folds problems involve folding a paper three times (e.g., vertical, then horizontal, then vertical again) before punching a hole. The hole punches through up to 8 layers of folded paper. When fully unfolded, the holes appear in up to 8 symmetrical positions, creating complex patterns that requ...
Two Folds Centered
10 worksheets
Two Folds Centered problems involve folding a paper twice (e.g., fold in half vertically, then fold in half horizontally) before punching a hole. The hole punches through all 4 layers of folded paper. When fully unfolded, the holes appear in all four quadrants symmetrically.
Rule Detection
Abstract Relationship Rule
10 worksheets
Abstract Relationship Rule problems involve non-geometric relationships between figures. For example, the number of corners in the first figure may determine the number of shapes in the second figure. These problems test conceptual and numerical reasoning.
Combined Transformations
10 worksheets
Combined Transformations problems involve figures that change in multiple ways simultaneously. For example, a shape may rotate AND grow in size at the same time. These problems test your ability to decompose and analyze multiple independent rules.
Complex Positional Movement
10 worksheets
Complex Positional Movement problems involve tracking the position of a dot or element as it moves through a grid or frame according to a systematic rule. Paths can be spiral, diagonal bounce, circular, or other geometric patterns.
Conditional Transformation
10 worksheets
Conditional Transformation problems involve rules where the transformation depends on a property of the shape (e.g., IF shape is closed THEN add dot, IF open THEN add line). These problems test logical condition detection in visual sequences.
Element Count Progression
10 worksheets
Element Count Progression problems involve sequences where the number of identical elements (circles, squares, lines, etc.) increases or decreases by a fixed amount in each step. These problems test your ability to detect quantitative patterns in visual sequences.
Multi Dimensional Matrix
10 worksheets
Nested Rule System
10 worksheets
Nested Rule System problems involve hierarchical patterns where one rule applies to the outer structure (e.g., shape type) and another rule applies to the inner structure (e.g., number of dots inside). The two rules are independent but correlated.
Reflection Pattern
10 worksheets
Rotation Rule Basic
10 worksheets
Rotation Rule problems involve sequences where figures rotate by a fixed angle in each step (e.g., 45°, 90°, or 180°). You must identify the rotation direction (clockwise or counterclockwise) and angle, then predict the next figure in the sequence.
Scaling Transformation
10 worksheets
Scaling Transformation problems involve sequences where the size of a figure increases or decreases by a fixed amount (linear scaling) or fixed ratio (geometric scaling). You must identify the scaling pattern and predict the next figure's size.
Set Operation Rules
10 worksheets
Shading Pattern Rule
10 worksheets
Shape Transformation Sequence
10 worksheets
Shape Transformation Sequence problems involve sequences where shapes transform by gaining or losing sides (e.g., triangle → square → pentagon → hexagon). These problems test recognition of geometric progression in regular polygons.
Shape Construction
Count Visible Faces
10 worksheets
Count Visible Faces problems present a 3D arrangement of cubes stacked together and ask how many faces are visible from a specific viewing angle (usually front, top, and side combined). Each cube has 6 faces, but faces that touch another cube or touch the ground are hidden.
Cube Folding With Pattern
10 worksheets
Cube Folding with Pattern problems present a cube net with letters, numbers, or symbols on each face. You must determine which face is opposite another, or which face appears in a certain position, after folding the net into a cube.
Cube Net Identification
10 worksheets
Cube Net Identification problems present a flat pattern (net) of squares and ask whether it can be folded into a cube without overlapping. These problems test your spatial visualization ability to mentally fold 2D patterns into 3D cubes. There are exactly 11 distinct nets that form a cube.
Dice Opposite Faces
10 worksheets
Dice Opposite Faces problems give two or three views of a standard die (cube with faces numbered 1-6, opposite faces summing to 7) and ask which face is opposite a given face. These problems test your ability to track face orientations across multiple views.
Hidden Cubes Count
10 worksheets
Hidden Cubes Count problems present three orthographic views (front, top, and side) of a 3D structure made of unit cubes. You must determine the total number of cubes in the structure, including hidden cubes that are not visible in any single view.
Shape Assembly
10 worksheets
Shape Construction Visual
Complete The Pattern
10 worksheets
Complete the Pattern problems present a 3x3 grid of figures where the last cell is missing. You must identify the underlying rule governing the rows or columns and select the figure that logically completes the pattern. These problems test your ability to detect visual progressions, rotations, addit...
Count Shapes In Overlap
10 worksheets
Count Shapes in Overlap problems involve two or more overlapping geometric shapes (circles, squares, triangles). You must count the total number of distinct regions created by the overlaps. These problems test your understanding of set intersections and spatial partitioning.
Hidden Shape In Pattern
10 worksheets
Hidden Shape in Pattern problems present a complex arrangement of lines, dots, or shapes. Within this pattern, a specific shape (e.g., a triangle, square, or letter) is hidden. You must identify the hidden shape or count how many times it appears. These problems test perceptual organization and figu...
Mental Rotation 3D
10 worksheets
Mental Rotation 3D problems present a 3D shape (often made of cubes or blocks) and several rotated versions. You must identify which option shows the same shape rotated in space. These problems test your spatial visualization and mental manipulation abilities.
Shape Decomposition
10 worksheets
Shape Decomposition problems present a target shape and several options containing smaller shapes. You must identify which set of smaller shapes can be combined (without overlap) to form the exact target shape. These problems test your ability to mentally break down complex figures into simpler comp...
Svg Shape Completion
10 worksheets
SVG Shape Completion problems present a visual pattern described in SVG (Scalable Vector Graphics) format or as an image, with a missing element. You must understand the pattern and complete it by selecting the correct SVG code or figure. These problems test your ability to interpret both visual and...
Visual Analogy
10 worksheets
Visual Analogy problems present a pair of figures (A and B) with a specific transformation relationship, followed by a third figure (C). You must find the figure (D) that completes the analogy A:B :: C:D, applying the same transformation rule. These problems test your ability to identify and apply v...
Transparent Folding
Basic Overlay Patterns
10 worksheets
Basic Overlay Patterns problems involve folding a transparent sheet once (horizontally, vertically, or diagonally) and determining what pattern becomes visible through the folded layers. Unlike opaque paper, transparent sheets allow you to see patterns from ALL layers simultaneously, creating visual...
Color Mixing And Transparency
10 worksheets
Color Mixing and Transparency problems involve colored transparent sheets that are folded, causing different colored layers to overlap. Through transparency, colors combine according to additive or subtractive color mixing principles. These problems test your understanding of color theory in the con...
Comparative Analysis
10 worksheets
Comparative Analysis problems present the same transparent sheet folded in two different ways (e.g., vertical vs horizontal, or single fold vs double fold) and ask you to compare the resulting visible patterns. These problems test your ability to predict how different folds affect the same original ...
Depth Perception And 3D Effects
10 worksheets
Depth Perception and 3D Effects problems involve multiple stacked transparent sheets or multiple layers from folding, where you must determine the depth ordering (which layer appears on top) or how 3D effects are created through transparency. These problems test your understanding of how transparenc...
Distortion And Perspective
10 worksheets
Distortion and Perspective problems involve folds that are not at 0°, 90°, or 45° (standard angles). These non-standard folds create refraction-like effects where straight lines appear to bend at the fold line, and patterns may appear stretched or compressed. These problems test advanced spatial vis...
Multi Layer Superposition
10 worksheets
Multi-Layer Superposition problems involve folding a transparent sheet multiple times (two or more folds), creating many overlapping layers. You must determine the complex pattern that emerges from the superposition of all layers. These problems test advanced spatial visualization and the ability to...
Pattern Completion Reverse
10 worksheets
Pattern Completion (Reverse) problems give you what you see through a folded transparent sheet and ask you to determine what the original pattern was before folding. These are the inverse of basic overlay problems and require working backwards from the superposition to the original pattern.
Symmetry Perception
10 worksheets
Symmetry Perception problems involve folded transparent sheets where you see a partial pattern through the folded sheet, and must identify the complete symmetric pattern that would be visible. These problems test your understanding of reflective symmetry and how transparency reveals mirror images.
Water Images
Complex Mixed String
10 worksheets
Complex Mixed String problems involve finding water images of longer strings containing multiple character types (letters, digits, symbols). These problems require applying reversal and transformation rules to sequences of 3 or more characters, testing comprehensive water image reasoning skills.
Letter Number Combination
10 worksheets
Letter-Number Combination problems involve finding the water image of strings that contain both letters and digits. These problems require applying letter transformation rules to letters and digit transformation rules to digits, while also reversing the order of all characters.
Mixed Single Character
10 worksheets
Mixed Single Character problems involve identifying water images of various characters including letters, digits, and symbols. These problems test your comprehensive knowledge of how different types of characters transform in water reflection.
Palindrome String
10 worksheets
Palindrome String problems involve finding water images of palindromic strings (strings that read the same forwards and backwards). For palindromes, the order reversal step becomes trivial (no change), so only character transformations matter. These problems test understanding of how palindromes beh...
Single Digit Water Image
10 worksheets
Single Digit Water Image problems involve digits that transform when viewed as water images. Digits like 0, 1, and 8 remain the same, while 6 becomes 9 and 9 becomes 6 in water reflection. These problems test your knowledge of how digits appear when reflected vertically.
Single Symbol Water Image
10 worksheets
Single Symbol Water Image problems involve mathematical and common symbols that transform when viewed as water images. Symbols like +, -, *, and = remain the same in water reflection, while others like / and \ swap places. These problems test your knowledge of symbol transformations.
Single Symmetrical Letter
10 worksheets
Single Symmetrical Letter problems involve letters that appear the same or transform into another specific letter when viewed as a water image (vertical mirror reflection). Common symmetrical letters include A, H, I, M, O, T, U, V, W, X, Y. These problems test your knowledge of how each letter refle...
Three Digit Number
10 worksheets
Three-Digit Number problems involve finding the water image of three-digit numbers. The water image requires reversing the order of digits (1st↔3rd, 2nd stays) AND transforming each digit individually (6↔9, while 0,1,8 remain same).
Three Letter String
10 worksheets
Three-Letter String problems involve finding the water image of three-character letter strings. The water image requires reversing the order of all letters AND transforming each letter individually. These problems test your ability to apply water image rules to longer sequences.
Two Character Mixed
10 worksheets
Two-Character Mixed problems involve finding the water image of two-character strings that combine different types of characters (letter+digit, letter+symbol, digit+symbol). These problems test your ability to apply different transformation rules for different character types within the same string.
Two Digit Number
10 worksheets
Two-Digit Number problems involve finding the water image of a two-digit number. The water image requires reversing the order of digits AND transforming each digit individually (6↔9, while 0,1,8 remain same). These problems test your ability to apply water image rules to numeric sequences.
Two Letter Combination
10 worksheets
Two-Letter Combination problems involve finding the water image of a two-character string. The water image requires both reversing the order of letters AND transforming each letter individually. These problems test your ability to apply water image rules to sequences.
Word Like Pattern
10 worksheets
Word-Like Pattern problems involve finding water images of realistic-looking words or meaningful combinations of letters. These problems test your ability to apply water image rules to real-world word patterns while also considering that the water image may form another meaningful word.
Why Choose Our Worksheets?
11280+
Total Worksheets
and growing daily
3
Categories
Verbal, Logical, Non-Verbal
20
Questions Per Worksheet
With answer key
Detailed
Solutions Included
Step-by-step explanations
How to Use These Worksheets
1. Download PDF
Click any worksheet button to download instantly
2. Solve Questions
Answer 20 questions without peeking at solutions
3. Check Answer Key
Verify answers and calculate your score
4. Read Solutions
Learn from detailed step-by-step explanations
Frequently Asked Questions
Yes! All worksheets in our PDF library are completely free. No registration, no payment - just click and download.
Each worksheet contains 20 practice questions, followed by an answer key and detailed solutions for every question.
These worksheets are designed for all major competitive exams including SSC CGL/CHSL/MTS, Banking (IBPS, SBI, RBI), Railways RRB, UPSC CSAT, CAT, and state-level exams.
We regularly add new worksheets and update existing ones to reflect the latest exam patterns and difficulty levels.
SN
Sandeep Nehra
B.Tech (Mech) | MBA (HRM & IB) | Lead Developer & Reasoning Expert (16+ Yrs)
Sandeep is a Mechanical Engineer and dual MBA (HR & International Business) with over 16 years of experience as a Senior Web Architect and Tech Lead. Combining his engineering precision with deep behavioral insights, he founded ReasoningAbility.com to revolutionize competitive exam preparation. His unique methodology — blending logical structuring from engineering with psychological clarity from HRM — helps aspirants crack BITSAT, SSC, and Banking exams faster. His mission remains simple: provide high-quality, free practice resources that turn complex logic into accessible, high-speed solving techniques for students worldwide.