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Data Arrangement - Intermediate-Advanced Level: arrangement logic INTERMEDIATE-ADVANCED

This fundamentals focus worksheet contains 20 intermediate-advanced-level data arrangement problems. Worksheet 21 of 30 focuses on arrangement logic. Practice systematic ordering, data patterns, logical sorting with our step-by-step solutions. Difficulty: advanced concepts with increasing complexity. Recommended for advanced developing learners.

šŸ“ Worksheet 21 of 30 ā€¢ 20 questions ā€¢ ā±ļø Estimated time: 20 minutes ā€¢ šŸŽÆ Intermediate-advanced level

What you'll learn in this worksheet:
Your progress through Data Arrangement
Worksheet 21 of 30 (70% complete)

Question 1

Eight boxes are stacked on 8 different floors (Floor 8 is the top). Conditions: - Box Yellow is kept on the topmost floor (8). - There are exactly four boxes between Box Blue and Box Pink. - Box Brown is kept immediately below Box Pink. - Box Black is kept on an odd-numbered floor, but not floor 1. - Box Purple is not kept on an even-numbered floor. Question: How many boxes are placed between Box Black and Box Brown?
Floor Puzzle Strategy: Vertical Stack
Floors are 8 (Top) to 1 (Bottom). Start with definite positions: Box A on F8.
Use the 'four boxes between' clue to fix positions of B and F.
Use the adjacent clue (Box G immediately below Box F) to fix the remaining positions.
The final arrangement (Floor: Box) is:
8: Yellow; 7: Blue; 6: Black; 5: Green; 4: White; 3: Pink; 2: Brown; 1: Purple
Verification: Box Black is on F6 and Box Brown is on F2. The boxes between are on F5, F4, F3 (3 boxes).
categorical, stacking, floor-puzzle, banking, ssc

Question 2

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: - Bhavya works with Rhea but not with Jatin. - The DevOps person is in the same group as the Data person. - Priya is not in the same group as the Design person. - The Backend person is not with Yash. Question: Bhavya 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: Bhavya, Rhea, Yash
- Project B: Aarav, Jatin, Priya
Verification:
- Co-working constraints satisfied.
- Role-based co-locations respected.
- Exclusions enforced without conflicts.
grouping, classification, medium, teams, co-membership

Question 3

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: - Jatin works with Laksh but not with Diya. - The DevOps person is in the same group as the Data person. - Mira is not in the same group as the Design person. - The Backend person is not with Kaira. Question: Laksh 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: Jatin, Kaira, Laksh
- Project B: Diya, Fatima, Mira
Verification:
- Co-working constraints satisfied.
- Role-based co-locations respected.
- Exclusions enforced without conflicts.
grouping, classification, medium, teams, co-membership

Question 4

A company's five sales representatives each recorded distinct monthly sales. Use the clues to analyze: - Fatima sold more units than Priya. - The highest sale was in Dec. - Bhavya sold fewer units than Zoya. Question: Who recorded the highest sales?
Spreadsheet Reasoning
Create a table of (Rep, Month, Sales) and use inequality clues to rank.
Rep | Month | Sales
--- | --- | ---
Fatima | Dec | 372
Priya | Nov | 349
Bhavya | Feb | 304
Zoya | Jun | 145
Yash | Sep | 287
Identify the maximum sales row to answer the query.
Verification:
- Fatima sold more units than Priya.
- The highest sale was in Dec.
- Bhavya sold fewer units than Zoya.
spreadsheet, real-world, sales, medium, months

Question 5

Eight boxes are stacked on 8 different floors (Floor 8 is the top). Conditions: - Box Blue is kept on the topmost floor (8). - There are exactly four boxes between Box Black and Box Red. - Box Green is kept immediately below Box Red. - Box Purple is kept on an odd-numbered floor, but not floor 1. - Box Yellow is not kept on an even-numbered floor. Question: How many boxes are placed between Box Purple and Box Green?
Floor Puzzle Strategy: Vertical Stack
Floors are 8 (Top) to 1 (Bottom). Start with definite positions: Box A on F8.
Use the 'four boxes between' clue to fix positions of B and F.
Use the adjacent clue (Box G immediately below Box F) to fix the remaining positions.
The final arrangement (Floor: Box) is:
8: Blue; 7: Black; 6: Purple; 5: Brown; 4: White; 3: Red; 2: Green; 1: Yellow
Verification: Box Purple is on F6 and Box Green is on F2. The boxes between are on F5, F4, F3 (3 boxes).
categorical, stacking, floor-puzzle, banking, ssc

Question 6

Eight boxes are stacked on 8 different floors (Floor 8 is the top). Conditions: - Box Red is kept on the topmost floor (8). - There are exactly four boxes between Box Orange and Box Blue. - Box White is kept immediately below Box Blue. - Box Purple is kept on an odd-numbered floor, but not floor 1. - Box Yellow is not kept on an even-numbered floor. Question: How many boxes are placed between Box Purple and Box White?
Floor Puzzle Strategy: Vertical Stack
Floors are 8 (Top) to 1 (Bottom). Start with definite positions: Box A on F8.
Use the 'four boxes between' clue to fix positions of B and F.
Use the adjacent clue (Box G immediately below Box F) to fix the remaining positions.
The final arrangement (Floor: Box) is:
8: Red; 7: Orange; 6: Purple; 5: Black; 4: Brown; 3: Blue; 2: White; 1: Yellow
Verification: Box Purple is on F6 and Box White is on F2. The boxes between are on F5, F4, F3 (3 boxes).
categorical, stacking, floor-puzzle, banking, ssc

Question 7

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 Music. - Aarav did not take 73 minutes and is not ranked 4. - The fastest finisher attempted English. - The one ranked 3 took more time than Wafa. 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
--- | --- | --- | ---
Jatin | 1 | 44 | Geography
Hina | 2 | 58 | Music
Aarav | 3 | 73 | Computer
Cyrus | 4 | 76 | English
Wafa | 5 | 49 | Physics
Integrate constraints across dimensions and validate uniqueness.
Verification:
- The student ranked 1 finished earlier than the one who attempted Music.
- Aarav did not take 73 minutes and is not ranked 4.
- The fastest finisher attempted English.
- The one ranked 3 took more time than Wafa.
integration, rank, time, subject, hard, olympiad

Question 8

Five persons each like a distinct color and prefer a distinct subject. Use the clues to complete the table and answer: - Jatin does not like Yellow or Computer. - The one who likes Blue prefers Science. - Kaira prefers Chemistry. - Hina does not prefer Physics. - The Black-lover is not Bhavya. Question: Who prefers the subject History?
Table Method
Create a 5x3 table with Person vs (Color, Subject). Use exclusion clues to mark X, and direct clues to fill āœ“.
Process:
- Jatin does not like Yellow or Computer.
- The one who likes Blue prefers Science.
- Kaira prefers Chemistry.
- Hina does not prefer Physics.
- The Black-lover is not Bhavya.
After consistent deductions and elimination, the unique mapping is:
Person | Color | Subject
--- | --- | ---
Jatin | Blue | Physics
Hina | Yellow | Science
Kaira | Black | Computer
Bhavya | Purple | Chemistry
Fatima | Pink | History
Verification:
- Each color and subject used exactly once.
- All negative clues respected.
- Direct clues align with assignments.
tabular, categorical, matrix, medium, ssc, banking

Question 9

Study the following path and answer the question: A person starts from point X and walks 12 km North. He then turns left and walks 5 km. He then turns left and walks 8 km. He then turns right and walks 3 km. He then turns right and walks 4 km. Question: What is the shortest distance between the start point and the end point?
Direction Sense Strategy
Step 1: Track position on coordinate grid (East = +x, North = +y)
Start at (0,0) facing North
Step 1: Move +12 in y-direction ā†’ position updates
Step 2: Move -5 in x-direction
Step 3: Move -8 in y-direction
Step 4: Move +3 in x-direction
Step 5: Move +4 in y-direction ā†’ position updates

Final Position: (-2, 8)
Final Facing Direction: North

Answer to question: 8.2
direction, distance, displacement, medium, ssc, upsc

Question 10

Six persons have distinct preferences across Brand, Sport, and Vehicle. Using the clues, determine the complete mapping and answer: - Ira does not prefer Eta or Football. - The one who prefers Alpha drives Car. - Rhea plays Table Tennis, and the one who drives Metro prefers Beta. - Neither Zoya nor Gaurav prefers Theta. - The Cricket player does not drive Train. - If someone prefers Gamma, then they do not play Athletics. Question: Who prefers the brand Gamma?
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.
- Ira does not prefer Eta or Football.
- The one who prefers Alpha drives Car.
- Rhea plays Table Tennis, and the one who drives Metro prefers Beta.
- Neither Zoya nor Gaurav prefers Theta.
- The Cricket player does not drive Train.
- If someone prefers Gamma, then they do not play Athletics.
Continue elimination until each row has a unique triplet.
Verified final mapping:
Person | Brand | Sport | Vehicle
--- | --- | --- | ---
Ira | Alpha | Cricket | Bus
Kaira | Eta | Athletics | Metro
Rhea | Theta | Football | Train
Zoya | Gamma | Hockey | Car
Gaurav | Zeta | Table Tennis | Ship
Wafa | Beta | Chess | Truck
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 11

Five persons have distinct heights. Use the clues to determine their relative heights: - Cyrus is taller than Uma. - Qadir is shorter than Gaurav but taller than Tara. - Uma is not the tallest. Question: Who is the tallest among them?
Ordering by Comparative Statements
Heights ascending: Tara(162cm) < Qadir(164cm) < Gaurav(166cm) < Uma(170cm) < Cyrus(179cm)
Place by pairwise comparisons; confirm unique top and bottom.
Verification:
- Cyrus is taller than Uma.
- Qadir is shorter than Gaurav but taller than Tara.
- Uma is not the tallest.
ordering, size, heights, easy, comparatives

Question 12

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 13

Eight people sit around a circular table. Clues: - Four people face the Center and four face Outside. - Mira sits opposite Kaira and both face the Center. - The neighbors of Priya face the same direction, which is Center. - Wafa sits second to the left of Nihal. - Bhavya is not an immediate neighbor of Mira. Question: Who sits third to the right of Wafa?
Mixed Facing Strategy:
- Center-facing: Left is Clockwise, Right is Counter-Clockwise.
- Outside-facing: Left is Counter-Clockwise, Right is Clockwise.
Clockwise arrangement: Mira(Center) -> Priya(Outside) -> Nihal(Center) -> Wafa(Outside) -> Kaira(Center) -> Zoya(Outside) -> Bhavya(Center) -> Xavier(Outside)
Wafa faces Outside. 3rd Right is Mira.
circular, mixed-directions, complex-logic, cat, banking

Question 14

Six people sit in a row facing North. Conditions: - Sahil sits at the extreme right end (Position 6). - There are three people sitting between Hina and Omar. - Yash sits third to the right of Omar. - Neither Kaira nor Diya sits at any extreme end. Question: Who is sitting at the immediate right of Yash?
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: Omar, Kaira, Diya, Yash, Hina, Sahil
- Case 2: Omar, Diya, Kaira, Yash, Hina, Sahil
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 15

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 16

Five persons have distinct heights. Use the clues to determine their relative heights: - Uma is taller than Tara. - Yash is shorter than Rhea but taller than Wafa. - Tara is not the tallest. Question: Who is the tallest among them?
Ordering by Comparative Statements
Heights ascending: Wafa(161cm) < Yash(165cm) < Rhea(171cm) < Tara(181cm) < Uma(183cm)
Place by pairwise comparisons; confirm unique top and bottom.
Verification:
- Uma is taller than Tara.
- Yash is shorter than Rhea but taller than Wafa.
- Tara is not the tallest.
ordering, size, heights, easy, comparatives

Question 17

Six persons have distinct preferences across Brand, Sport, and Vehicle. Using the clues, determine the complete mapping and answer: - Xavier does not prefer Kappa or Chess. - The one who prefers Epsilon drives Bus. - Priya plays Athletics, and the one who drives Van prefers Gamma. - Neither Nihal nor Kaira prefers Eta. - The Tennis player does not drive Scooter. - If someone prefers Iota, then they do not play Badminton. Question: Who plays Basketball?
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.
- Xavier does not prefer Kappa or Chess.
- The one who prefers Epsilon drives Bus.
- Priya plays Athletics, and the one who drives Van prefers Gamma.
- Neither Nihal nor Kaira prefers Eta.
- The Tennis player does not drive Scooter.
- If someone prefers Iota, then they do not play Badminton.
Continue elimination until each row has a unique triplet.
Verified final mapping:
Person | Brand | Sport | Vehicle
--- | --- | --- | ---
Xavier | Epsilon | Tennis | Car
Ira | Kappa | Badminton | Van
Priya | Eta | Chess | Scooter
Nihal | Iota | Football | Bus
Kaira | Theta | Athletics | Train
Diya | Gamma | Basketball | Bike
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 18

8 persons sit around a circular table facing outward. Who sits second to the left of Eshan?
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 Eshan'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): Zoya -> Eshan -> Nihal -> Wafa -> Fatima -> Sahil -> Diya -> Jatin
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 19

Eight boxes are stacked on 8 different floors (Floor 8 is the top). Conditions: - Box Orange is kept on the topmost floor (8). - There are exactly four boxes between Box Brown and Box Green. - Box Red is kept immediately below Box Green. - Box Pink is kept on an odd-numbered floor, but not floor 1. - Box Purple is not kept on an even-numbered floor. Question: How many boxes are placed between Box Pink and Box Red?
Floor Puzzle Strategy: Vertical Stack
Floors are 8 (Top) to 1 (Bottom). Start with definite positions: Box A on F8.
Use the 'four boxes between' clue to fix positions of B and F.
Use the adjacent clue (Box G immediately below Box F) to fix the remaining positions.
The final arrangement (Floor: Box) is:
8: Orange; 7: Brown; 6: Pink; 5: Yellow; 4: Black; 3: Green; 2: Red; 1: Purple
Verification: Box Pink is on F6 and Box Red is on F2. The boxes between are on F5, F4, F3 (3 boxes).
categorical, stacking, floor-puzzle, banking, ssc

Question 20

Eight people sit in two rows of four each. Row-1 faces south and Row-2 faces north. Opposite seats align by index. - Cyrus sits opposite Nihal. - Jatin sits second from one end. - Laksh sits at an extreme end. - The person opposite Diya is not at an extreme end. Question: Who sits directly opposite Fatima?
Table Method: Row-1 (top, South-facing) and Row-2 (bottom, North-facing) are parallel.
Fixed: Cyrus opposite Nihal. Use the end constraints on Laksh and the non-end constraint for the person opposite Diya.
One valid arrangement:
Row-1 (South, Lā†’R): Cyrus, Jatin, Omar, Xavier
Row-2 (North, Lā†’R): Nihal, Fatima, Laksh, Diya
Verification:
- Cyrus sits opposite Nihal.
- Jatin sits second from one end.
- Laksh sits at an extreme end.
- The person opposite Diya is not at an extreme end.
double-row, facing, opposites, easy, ssc
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