Data Arrangement Worksheet 10 - Beginner-Intermediate Level (information structure) | 20 Questions

Question 1

Six people scored distinct marks. Use the clues to rank them from highest to lowest: - Omar scored more than Sahil. - Aarav scored less than Cyrus but more than Kaira. - Fatima scored the least. Question: Who is ranked third by score (1st = highest)?

Inequality Chain
From highest to lowest: Omar(score=92) > Cyrus(score=90) > Sahil(score=89) > Aarav(score=83) > Kaira(score=80) > Fatima(score=66)
Use pairwise comparisons to place each person in descending order.
Verification:
- Omar scored more than Sahil.
- Aarav scored less than Cyrus but more than Kaira.
- Fatima scored the least.

ordering, ranking, scores, medium, inequalities

Question 2

Seven persons sit in a row facing north. Use the conditions: - Diya sits at the leftmost end. - Aarav sits at the rightmost end. - If Diya sits to the left of Yash, then Zoya must be at an extreme end. - If Eshan is adjacent to Uma, then Qadir does not sit at position 4. - Aarav sits third from the left. Question: Who sits at position 4 from the left?

If-Then Conditional Strategy
Start with fixed endpoints and fixed position (third from left).
The first conditional is true and is consistent with the setup.
The second conditional helps constrain the positions of D, E, and F, leading to a unique solution.
Validated arrangement: Position 1: Diya; Position 2: Yash; Position 3: Zoya; Position 4: Eshan; Position 5: Uma; Position 6: Qadir; Position 7: Aarav
Efficiency tip: Prefer constraints that fix absolute positions early; defer conditional branches until necessary.
Verification:
- Leftmost and rightmost fixed.
- Third-from-left fixed.
- Conditionals do not contradict final layout.

linear, conditional, if-then, hard, branching

Question 3

Consider the following five database-like records with unique fields (ID, Name, City, Score). Using the clues, determine relationships and answer: - The record with ID 743 has a higher score than the record from Delhi. - Fatima's score is not the lowest. - The person from Hyderabad has an ID greater than 251. Question: Which city corresponds to the highest score?

Relational Reasoning (DB-style)
Think in terms of unique-key constraints across fields (ID, Name, City, Score).
ID | Name | City | Score
--- | --- | --- | ---
743 | Vihaan | Chennai | 99
269 | Kaira | Delhi | 88
382 | Fatima | Bengaluru | 75
242 | Rhea | Hyderabad | 93
251 | Qadir | Mumbai | 89
Use comparative score clues and ID inequalities to identify maxima/minima.
Verification:
- The record with ID 743 has a higher score than the record from Delhi.
- Fatima's score is not the lowest.
- The person from Hyderabad has an ID greater than 251.

database, records, constraints, hard, keys

Question 4

Six people sit in a row facing North. Conditions: - Nihal sits at the extreme right end (Position 6). - There are three people sitting between Tara and Gaurav. - Sahil sits third to the right of Gaurav. - Neither Cyrus nor Wafa sits at any extreme end. Question: Who is sitting at the immediate right of Sahil?

Ambiguity Strategy: Proving Non-Unique Solution
Step 1: Fix D (P6). Use the 'three between' clue (Clue 2) to determine the positions of F (P5) and B (P1).
Step 2: Use E's position (Clue 3) to fix E (P4).
The arrangement is fixed at: B, P2, P3, E, F, D.
Step 3: The remaining people are A and C for positions P2 and P3. Clue 4 prevents them from being at the ends, leaving two cases:
- Case 1: Gaurav, Cyrus, Wafa, Sahil, Tara, Nihal
- Case 2: Gaurav, Wafa, Cyrus, Sahil, Tara, Nihal
The person immediately right of E is F in both valid cases, so the answer is uniquely determined.

linear, ambiguity, cannot-be-determined, gmat, cat

Question 5

Six persons have distinct preferences across Brand, Sport, and Vehicle. Using the clues, determine the complete mapping and answer: - Qadir does not prefer Delta or Football. - The one who prefers Epsilon drives Cycle. - Kaira plays Badminton, and the one who drives Car prefers Eta. - Neither Sahil nor Zoya prefers Iota. - The Basketball player does not drive Truck. - If someone prefers Gamma, then they do not play Volleyball. Question: Who drives the Scooter?

CAT/GMAT-Style Multi-Parameter Table
Create a 6x4 table (Person x Brand x Sport x Vehicle).
Apply constraints in layers: negative exclusions first, then direct mappings, then conditional implications.
- Qadir does not prefer Delta or Football.
- The one who prefers Epsilon drives Cycle.
- Kaira plays Badminton, and the one who drives Car prefers Eta.
- Neither Sahil nor Zoya prefers Iota.
- The Basketball player does not drive Truck.
- If someone prefers Gamma, then they do not play Volleyball.
Continue elimination until each row has a unique triplet.
Verified final mapping:
Person | Brand | Sport | Vehicle
--- | --- | --- | ---
Qadir | Epsilon | Basketball | Train
Hina | Delta | Volleyball | Car
Kaira | Iota | Football | Truck
Sahil | Gamma | Hockey | Cycle
Zoya | Kappa | Badminton | Scooter
Vihaan | Eta | Tennis | Van
Efficiency tip: Track constraints per attribute as sets; propagate implications ('If A then not B').
Verification:
- Each attribute used exactly once across persons.
- All conditional and negative clues hold.
- No contradictions; unique solution obtained.

multi-parameter, conditional, hard, cat, gmat, table

Question 6

A company's five sales representatives each recorded distinct monthly sales. Use the clues to analyze: - Vihaan sold more units than Uma. - The highest sale was in May. - Omar sold fewer units than Laksh. Question: Who recorded the highest sales?

Spreadsheet Reasoning
Create a table of (Rep, Month, Sales) and use inequality clues to rank.
Rep | Month | Sales
--- | --- | ---
Vihaan | Oct | 185
Uma | Aug | 341
Omar | May | 464
Laksh | Sep | 236
Ira | Dec | 406
Identify the maximum sales row to answer the query.
Verification:
- Vihaan sold more units than Uma.
- The highest sale was in May.
- Omar sold fewer units than Laksh.

spreadsheet, real-world, sales, medium, months

Question 7

8 persons sit around a circular table facing outward. Who sits second to the left of Hina?

Diagrammatic Approach (Circle)
Place the 8 persons on a circle. For 'facing outward', define directions:
- Left of a person is counter-clockwise; right is clockwise.
From Hina's position, move two seats to the left per the facing rule.
Validate the mapping and confirm the second-left occupant.
One valid circular order (clockwise): Xavier -> Eshan -> Mira -> Omar -> Nihal -> Hina -> Diya -> Zoya
Verification:
- Left/right mapping consistent with facing.
- Second-left computed via modular indexing.
- Computed person matches final arrangement index shift.

circular, facing, left-right, medium, clockwise, anticlockwise

Question 8

Six tasks T1–T6 have distinct priorities from 1 (highest) to 6 (lowest). Use the clues: - T6 has higher priority than T1. - T3 is the least urgent. - T5's priority is between T6 and T4. Question: Which task has the second-highest priority (just below the highest)?

Symbolic Reasoning with Inequalities
Priority chain (lower number = higher priority): T6(prio=1) > T5(prio=2) > T1(prio=3) > T4(prio=4) > T2(prio=5) > T3(prio=6)
From clues, derive inequalities and place tasks accordingly.
Verification:
- T6 has higher priority than T1.
- T3 is the least urgent.
- T5's priority is between T6 and T4.

sequential, priority, inequalities, medium, chain

Question 9

8 persons sit around a circular table facing the center. Who sits second to the left of Fatima?

Diagrammatic Approach (Circle)
Place the 8 persons on a circle. For 'facing the center', define directions:
- Left of a person is clockwise; right is counter-clockwise.
From Fatima's position, move two seats to the left per the facing rule.
Validate the mapping and confirm the second-left occupant.
One valid circular order (clockwise): Jatin -> Kaira -> Eshan -> Bhavya -> Fatima -> Mira -> Hina -> Vihaan
Verification:
- Left/right mapping consistent with facing.
- Second-left computed via modular indexing.
- Computed person matches final arrangement index shift.

circular, facing, left-right, medium, clockwise, anticlockwise

Question 10

Seven boxes of different colors are stacked on 7 different floors (Floor 7 is top, Floor 1 is bottom). Each box belongs to a different city and contains a different item. Clues: 1. The box on the top floor (7th floor) is Pink in color. 2. The box on the bottom floor (1st floor) is from Pune. 3. There are exactly 2 boxes between the Orange box and the White box. 4. The Black box is kept immediately above the box from Mumbai. 5. The Orange box is kept on an even-numbered floor but not on the 2nd floor. 6. The box containing Laptop is not kept on the topmost or bottommost floor. Question: On which floor is the Orange box kept?

Multi-attribute Box Puzzle Strategy
Create a 7x4 table with Floors (7 top to 1 bottom) as rows.
Apply definite clues first (top floor color, bottom floor city).
Use spacing and adjacency clues to fix relative positions.
Use even/odd constraints to narrow down possibilities.

Final deduced arrangement (Top to Bottom):
Floor | Color | City | Item
--- | --- | --- | ---
7 | Pink | Delhi | Phone
6 | Brown | Kolkata | Pen
5 | White | Hyderabad | Bottle
4 | Black | Chennai | Book
3 | Yellow | Mumbai | Charger
2 | Orange | Bengaluru | Laptop
1 | Green | Pune | Watch

box-puzzle, multi-attribute, stacking, hard, cat, banking

Question 11

A company's five sales representatives each recorded distinct monthly sales. Use the clues to analyze: - Zoya sold more units than Aarav. - The highest sale was in Jul. - Jatin sold fewer units than Mira. Question: Who recorded the highest sales?

Spreadsheet Reasoning
Create a table of (Rep, Month, Sales) and use inequality clues to rank.
Rep | Month | Sales
--- | --- | ---
Zoya | Jul | 418
Aarav | Aug | 225
Jatin | Mar | 152
Mira | Oct | 409
Yash | Nov | 215
Identify the maximum sales row to answer the query.
Verification:
- Zoya sold more units than Aarav.
- The highest sale was in Jul.
- Jatin sold fewer units than Mira.

spreadsheet, real-world, sales, medium, months

Question 12

Six people are divided into two project groups of three each. Each person has a distinct primary skill (Frontend, Backend, Data, DevOps, QA, Design). Use the clues: - Yash works with Wafa but not with Tara. - The DevOps person is in the same group as the Data person. - Xavier is not in the same group as the Design person. - The Backend person is not with Fatima. Question: Wafa belongs to which project group?

Grouping Strategy
Represent two groups: Project A and Project B. Apply co-membership and exclusion conditions.
Correct grouping:
- Project A: Fatima, Wafa, Yash
- Project B: Gaurav, Tara, Xavier
Verification:
- Co-working constraints satisfied.
- Role-based co-locations respected.
- Exclusions enforced without conflicts.

grouping, classification, medium, teams, co-membership

Question 13

Five students attempted a test and received distinct ranks (1 best to 5 worst), took distinct times, and attempted distinct subjects. Use the clues: - The student ranked 1 finished earlier than the one who attempted Science. - Gaurav did not take 34 minutes and is not ranked 4. - The fastest finisher attempted History. - The one ranked 3 took more time than Qadir. Question: Who secured Rank 1?

Multi-Parameter Optimization
Set up a table: Student x (Rank, Time, Subject). Use rank-time inequalities and subject anchors (fastest subject).
Student | Rank | Time(min) | Subject
--- | --- | --- | ---
Nihal | 1 | 48 | Music
Cyrus | 2 | 49 | Science
Gaurav | 3 | 34 | Computer
Kaira | 4 | 72 | History
Qadir | 5 | 36 | Art
Integrate constraints across dimensions and validate uniqueness.
Verification:
- The student ranked 1 finished earlier than the one who attempted Science.
- Gaurav did not take 34 minutes and is not ranked 4.
- The fastest finisher attempted History.
- The one ranked 3 took more time than Qadir.

integration, rank, time, subject, hard, olympiad

Question 14

Five persons each like a distinct color and prefer a distinct subject. Use the clues to complete the table and answer: - Cyrus does not like Purple or Science. - The one who likes White prefers Physics. - Gaurav prefers Art. - Yash does not prefer Music. - The Orange-lover is not Eshan. Question: Who likes the color Orange?

Table Method
Create a 5x3 table with Person vs (Color, Subject). Use exclusion clues to mark X, and direct clues to fill ✓.
Process:
- Cyrus does not like Purple or Science.
- The one who likes White prefers Physics.
- Gaurav prefers Art.
- Yash does not prefer Music.
- The Orange-lover is not Eshan.
After consistent deductions and elimination, the unique mapping is:
Person | Color | Subject
--- | --- | ---
Cyrus | White | Music
Yash | Purple | Physics
Gaurav | Orange | Science
Eshan | Blue | Art
Vihaan | Yellow | Computer
Verification:
- Each color and subject used exactly once.
- All negative clues respected.
- Direct clues align with assignments.

tabular, categorical, matrix, medium, ssc, banking

Question 15

Six people scored distinct marks. Use the clues to rank them from highest to lowest: - Cyrus scored more than Bhavya. - Mira scored less than Sahil but more than Jatin. - Uma scored the least. Question: Who is ranked third by score (1st = highest)?

Inequality Chain
From highest to lowest: Cyrus(score=97) > Sahil(score=79) > Bhavya(score=78) > Mira(score=70) > Jatin(score=67) > Uma(score=61)
Use pairwise comparisons to place each person in descending order.
Verification:
- Cyrus scored more than Bhavya.
- Mira scored less than Sahil but more than Jatin.
- Uma scored the least.

ordering, ranking, scores, medium, inequalities

Question 16

Eight persons sit around a square table facing the center; four at corners and four at middle of sides. How many middle-seated persons are there between Zoya and Laksh clockwise starting from Zoya?

Square Seating Strategy
Label positions in clockwise order as C1, M1, C2, M2, C3, M3, C4, M4. Corners are even-indexed if starting at C1=0.
Traverse clockwise from X to Y and count middle positions encountered.
One valid order (clockwise): Zoya -> Omar -> Aarav -> Gaurav -> Tara -> Xavier -> Laksh -> Sahil
Verification:
- Corners and middles alternate.
- Counting excludes the starting and ending persons.
- Computed count matches traversal.

rectangular, square-table, corners, middles, medium

Question 17

Six people sit in a row facing North. Conditions: - Yash sits at the extreme right end (Position 6). - There are three people sitting between Xavier and Gaurav. - Rhea sits third to the right of Gaurav. - Neither Zoya nor Sahil sits at any extreme end. Question: Who is sitting second from the left end (Position 2)?

Ambiguity Strategy: Proving Non-Unique Solution
Step 1: Fix D (P6). Use the 'three between' clue (Clue 2) to determine the positions of F (P5) and B (P1).
Step 2: Use E's position (Clue 3) to fix E (P4).
The arrangement is fixed at: B, P2, P3, E, F, D.
Step 3: The remaining people are A and C for positions P2 and P3. Clue 4 prevents them from being at the ends, leaving two cases:
- Case 1: Gaurav, Zoya, Sahil, Rhea, Xavier, Yash
- Case 2: Gaurav, Sahil, Zoya, Rhea, Xavier, Yash
Since the person at Position 2 is either A or C (and both cases are valid), the answer is 'Cannot be determined'.

linear, ambiguity, cannot-be-determined, gmat, cat

Question 18

Seven persons sit in a row facing north. Clues: - B sits second from left. - A is at the right end. - E is immediately right of F. - C is left of D. - G is not at an end. Question: Who is seated third from the left end?

Arrangement: ['G', 'B', 'C', 'F', 'E', 'D', 'A']

linear, single-row, positions, easy, ssc, banking, count-between, ends, north-facing

Question 19

Nine distinct persons are arranged in a 3x3 matrix; each cell has exactly one person with a unique color. - The center cell is occupied by Eshan who likes Yellow. - Omar sits opposite Bhavya on the grid edges. - Aarav is at a corner and does not like Red. - Bhavya is adjacent to Cyrus. Question: In a 3x3 grid (rows and columns numbered 1 to 3), who occupies the cell at row 3, column 1?

Matrix/Spreadsheet Strategy
Label the grid with coordinates (r,c). Use definite placement clues (center, corners, opposites, adjacency) first.
Convert verbal relations to coordinate constraints and eliminate inconsistent options.
A consistent placement is:
C1 | C2 | C3
--- | --- | ---
Qadir/Blue | Mira/Pink | Aarav/Purple
Omar/Orange | Eshan/Yellow | Bhavya/Red
Zoya/Brown | Hina/White | Cyrus/Black
Verification:
- Center, opposite, and corner constraints satisfied.
- Adjacency satisfied by orthogonal neighbors.
- Each person/color used exactly once.

matrix, 3x3, adjacency, opposite, hard, olympiad

Question 20

Five persons have distinct heights. Use the clues to determine their relative heights: - Mira is taller than Eshan. - Omar is shorter than Gaurav but taller than Xavier. - Eshan is not the tallest. Question: Who is the tallest among them?

Ordering by Comparative Statements
Heights ascending: Xavier(152cm) < Omar(153cm) < Gaurav(171cm) < Eshan(177cm) < Mira(188cm)
Place by pairwise comparisons; confirm unique top and bottom.
Verification:
- Mira is taller than Eshan.
- Omar is shorter than Gaurav but taller than Xavier.
- Eshan is not the tallest.

ordering, size, heights, easy, comparatives

Data Arrangement - Beginner-Intermediate Level: information structure BEGINNER-INTERMEDIATE

What you'll learn in this worksheet: