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Logical Rules

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 number of elements). You must apply the logical rule to find the missing element.

10Worksheets
200+Practice Questions
IntermediateDifficulty
2-3 hoursHours to Master

What You'll Learn

Introduction & Overview Why This Matters How to Solve Pro Tips & Tricks
Shortcut Methods Common Mistakes Practice Worksheets Exam Importance

Introduction to Logical Rules

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 number of elements). You must apply the logical rule to find the missing element.

Prerequisites

Understanding of Boolean logic (true/false, alternation) Number-to-symbol mapping concepts Orientation sequences (clockwise/anticlockwise) Counting progressions
Why This Matters: Logical Rules problems appear in 1-2 questions in SSC CGL and Banking PO exams. They test logical reasoning applied to visual patterns.

How to Solve Logical Rules Problems

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Step 1: Identify the type of logical rule (Boolean, number-shape, orientation, count)

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Step 2: For Boolean patterns: determine the truth value sequence (T,F,T,F,...)

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Step 3: For number-shape: map each number to its corresponding symbol

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Step 4: For orientation: track the direction sequence (up, right, down, left, etc.)

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Step 5: For count progression: count the number of elements in each figure

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Step 6: Apply the logical rule to find the missing element

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Step 7: Verify that the rule holds for all given elements

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Step 8: Select the correct answer option

Pro Strategy: Identify the logical pattern first. Boolean patterns alternate between two states. Number-shape patterns follow a mapping (1→●, 2→●●, 3→●●●). Orientation patterns cycle through directions. Count patterns increase by constant amount.

Example Problem

Example: Pattern: ●, ○, ●, ○, ? (● = true, ○ = false). What is the next symbol? Solution: Step 1: Rule = Boolean alternation (true, false, true, false...) Step 2: Sequence: T, F, T, F Step 3: Next should be T (●) Answer: ●

Pro Tips & Tricks

  • Boolean patterns: true/false alternation (●/○, ■/□, etc.)
  • Number-shape: 1 dot = ●, 2 dots = ●●, 3 dots = ●●●
  • Orientation: up → right → down → left → up (clockwise cycle)
  • Count progression: add 1 each time (1,2,3,4,5...)
  • Some patterns use prime numbers: 2,3,5,7,11,...
  • Alternating patterns may have period 2, 3, or more

Shortcut Methods to Solve Faster

For Boolean: next = opposite of last
For number-shape: next count = last count + increment
For orientation: next direction = next in cycle (clockwise or anticlockwise)
For alternating patterns, determine the cycle length
If 1=●,2=●●,3=●●●, then n = n dots

Common Mistakes to Avoid

Confusing Boolean alternation with count progression
Forgetting that orientation cycles have direction (clockwise vs anticlockwise)
Not identifying the correct mapping for number-shape patterns
Assuming the pattern is arithmetic when it could be geometric or Boolean

Exam Importance

Logical Rules is an important topic for various competitive exams. Here's how frequently it appears:

SSC CGL
1-2 questions
BANKING PO
1-2 questions
RAILWAYS RRB
1-2 questions
INSURANCE
1-2 questions

Ready to Master Logical Rules?

Start with Worksheet 1 and work your way up to expert level! Each worksheet includes:

20 practice questions
Detailed solutions
Step-by-step explanations
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