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Data Arrangement - Intermediate Level: data organization INTERMEDIATE

Master data arrangement concepts through this excellence pursuit practice set. Worksheet 16 of 30 contains 20 intermediate-level problems. Deep dive into data organization while learning information sorting, logical arrangement, pattern ordering. Recommended for mid-level learners aiming for moderate complexity with mixed patterns.

📝 Worksheet 16 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
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Worksheet 16 of 30 (53% complete)

Question 1

Eight people Sahil, Yash, Cyrus, Priya, Gaurav, Hina, Zoya, Laksh sit in a row facing north. Clues: - Yash sits at an even-numbered position (2, 4, 6, or 8). - There are exactly two persons between Yash and Zoya. - Sahil does not sit at any extreme end. - Gaurav sits at position 1. Question: How many persons sit between Priya and Hina?
Logical Flow:
1. Yash is at position 4 (even position).
2. Distance between Yash and Zoya is exactly 3 seats → Zoya at position 7.
3. Sahil cannot be at position 1 or 8 → Sahil at position 5.
4. Gaurav is fixed at position 1.
Arrangement: Position 1: Gaurav; Position 2: Cyrus; Position 3: Priya; Position 4: Yash; Position 5: Sahil; Position 6: Laksh; Position 7: Zoya; Position 8: Hina
linear, single-row, positions, medium, distance, position-number

Question 2

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 787 has a higher score than the record from Mumbai. - Wafa's score is not the lowest. - The person from Chennai has an ID greater than 112. 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
--- | --- | --- | ---
787 | Laksh | Delhi | 88
278 | Qadir | Mumbai | 82
513 | Wafa | Bengaluru | 87
810 | Sahil | Chennai | 73
112 | Cyrus | Hyderabad | 71
Use comparative score clues and ID inequalities to identify maxima/minima.
Verification:
- The record with ID 787 has a higher score than the record from Mumbai.
- Wafa's score is not the lowest.
- The person from Chennai has an ID greater than 112.
database, records, constraints, hard, keys

Question 3

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

Question 4

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 Math. - Omar did not take 74 minutes and is not ranked 4. - The fastest finisher attempted Chemistry. - The one ranked 3 took more time than Jatin. 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
--- | --- | --- | ---
Tara | 1 | 67 | Computer
Laksh | 2 | 48 | Math
Omar | 3 | 74 | Art
Cyrus | 4 | 37 | Chemistry
Jatin | 5 | 66 | Geography
Integrate constraints across dimensions and validate uniqueness.
Verification:
- The student ranked 1 finished earlier than the one who attempted Math.
- Omar did not take 74 minutes and is not ranked 4.
- The fastest finisher attempted Chemistry.
- The one ranked 3 took more time than Jatin.
integration, rank, time, subject, hard, olympiad

Question 5

Five persons have distinct heights. Use the clues to determine their relative heights: - Nihal is taller than Gaurav. - Ira is shorter than Kaira but taller than Priya. - Gaurav is not the tallest. Question: Who is the tallest among them?
Ordering by Comparative Statements
Heights ascending: Priya(151cm) < Ira(158cm) < Kaira(169cm) < Gaurav(177cm) < Nihal(187cm)
Place by pairwise comparisons; confirm unique top and bottom.
Verification:
- Nihal is taller than Gaurav.
- Ira is shorter than Kaira but taller than Priya.
- Gaurav is not the tallest.
ordering, size, heights, easy, comparatives

Question 6

Eight boxes are stacked on 8 different floors (Floor 8 is the top). Conditions: - Box Green is kept on the topmost floor (8). - There are exactly four boxes between Box Purple and Box Brown. - Box Red is kept immediately below Box Brown. - Box Blue is kept on an odd-numbered floor, but not floor 1. - Box White is not kept on an even-numbered floor. Question: How many boxes are placed between Box Blue 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: Green; 7: Purple; 6: Blue; 5: Pink; 4: Black; 3: Brown; 2: Red; 1: White
Verification: Box Blue 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 7

Study the following path and answer the question: A person starts from point A and walks 8 km East. He then turns left and walks 6 km. He then turns left and walks 8 km. He then turns left and walks 4 km. Question: What is the distance walked in the 3rd segment?
Direction Sense Strategy
Step 1: Track position on coordinate grid (East = +x, North = +y)
Start at (0,0) facing North
Step 1: Move +8 in x-direction
Step 2: Move +6 in y-direction → position updates
Step 3: Move -8 in x-direction
Step 4: Move -4 in y-direction

Final Position: (0, 2)
Final Facing Direction: South

Answer to question: 8
direction, distance, displacement, medium, ssc, upsc

Question 8

Six people sit in a row facing North. Conditions: - Qadir sits at the extreme right end (Position 6). - There are three people sitting between Omar and Wafa. - Hina sits third to the right of Wafa. - Neither Priya nor Fatima 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: Wafa, Priya, Fatima, Hina, Omar, Qadir
- Case 2: Wafa, Fatima, Priya, Hina, Omar, Qadir
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 9

Five talks are scheduled on distinct days of a week (Mon–Sun). Use the clues: - Uma's talk is earlier than Hina's. - Yash's talk is neither first nor last. - Bhavya's talk is before Mira's. Question: Who gives the talk on Saturday?
Sequential Timeline
Order days as Monday→Sunday. Map constraints: 'earlier than', 'before', 'neither first nor last'.
Valid schedule: Tuesday:Uma, Wednesday:Bhavya, Thursday:Yash, Saturday:Mira, Sunday:Hina
Use inequalities to form partial orders and then linearize.
Verification:
- Uma's talk is earlier than Hina's.
- Yash's talk is neither first nor last.
- Bhavya's talk is before Mira's.
sequential, time, days, easy, before-after

Question 10

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 271 has a higher score than the record from Hyderabad. - Aarav's score is not the lowest. - The person from Delhi has an ID greater than 779. 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
--- | --- | --- | ---
331 | Gaurav | Mumbai | 84
837 | Ira | Hyderabad | 86
203 | Aarav | Bengaluru | 80
271 | Laksh | Delhi | 96
779 | Qadir | Chennai | 92
Use comparative score clues and ID inequalities to identify maxima/minima.
Verification:
- The record with ID 271 has a higher score than the record from Hyderabad.
- Aarav's score is not the lowest.
- The person from Delhi has an ID greater than 779.
database, records, constraints, hard, keys

Question 11

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

Question 12

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

Question 13

Nine persons are to be seated in a single row of 9 seats; one seat is vacant. The final arrangement is consistent with the given constraints. Answer the question: - A total of 8 persons are seated in 9 seats, with exactly one seat vacant. - The number of persons to the left of the vacant seat is one more than the number of persons to its right. - The person next to Vihaan is a fixed person (clue to force uniqueness). Question: In a row of 9 seats with one seat vacant, what occupies the seat exactly between Vihaan and Gaurav?
Incomplete Information Strategy: Fixed Vacancy
The constraint on the vacant seat's relative position fixes it immediately.
Final arrangement (Seats 1-9): 1: Priya; 2: Vihaan; 3: Ira; 4: Xavier; 5: Bhavya; 6: Qadir; 7: Gaurav; 8: Empty; 9: Nihal
The calculation for the question is done on the fixed layout.
Verification:
- Seat configuration: 5 persons left, 3 persons right of Empty (P5).
- Final positions of X and Y verified.
incomplete, vacancy, hard, upsc, validation

Question 14

Eight boxes are stacked on 8 different floors (Floor 8 is the top). Conditions: - Box Brown is kept on the topmost floor (8). - There are exactly four boxes between Box Green and Box Black. - Box Red is kept immediately below Box Black. - Box Purple is kept on an odd-numbered floor, but not floor 1. - Box White is not kept on an even-numbered floor. Question: How many boxes are placed between Box Purple 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: Brown; 7: Green; 6: Purple; 5: Orange; 4: Pink; 3: Black; 2: Red; 1: White
Verification: Box Purple 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 15

Eight people Eshan, Kaira, Rhea, Wafa, Hina, Gaurav, Aarav, Cyrus sit in a row facing north. Clues: - Wafa sits at an even-numbered position (2, 4, 6, or 8). - There are exactly two persons between Wafa and Eshan. - Kaira does not sit at any extreme end. - Cyrus sits at position 1. Question: How many persons sit between Aarav and Kaira?
Logical Flow:
1. Wafa is at position 4 (even position).
2. Distance between Wafa and Eshan is exactly 3 seats → Eshan at position 7.
3. Kaira cannot be at position 1 or 8 → Kaira at position 5.
4. Cyrus is fixed at position 1.
Arrangement: Position 1: Cyrus; Position 2: Aarav; Position 3: Rhea; Position 4: Wafa; Position 5: Kaira; Position 6: Hina; Position 7: Eshan; Position 8: Gaurav
linear, single-row, positions, medium, distance, position-number

Question 16

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 459 has a higher score than the record from Hyderabad. - Fatima's score is not the lowest. - The person from Bengaluru has an ID greater than 958. 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
--- | --- | --- | ---
263 | Priya | Mumbai | 89
466 | Sahil | Hyderabad | 90
728 | Fatima | Delhi | 85
459 | Diya | Bengaluru | 98
958 | Kaira | Chennai | 83
Use comparative score clues and ID inequalities to identify maxima/minima.
Verification:
- The record with ID 459 has a higher score than the record from Hyderabad.
- Fatima's score is not the lowest.
- The person from Bengaluru has an ID greater than 958.
database, records, constraints, hard, keys

Question 17

Six people scored distinct marks. Use the clues to rank them from highest to lowest: - Fatima scored more than Sahil. - Bhavya scored less than Eshan but more than Jatin. - Laksh scored the least. Question: Who is ranked third by score (1st = highest)?
Inequality Chain
From highest to lowest: Fatima(score=97) > Eshan(score=95) > Sahil(score=92) > Bhavya(score=80) > Jatin(score=75) > Laksh(score=60)
Use pairwise comparisons to place each person in descending order.
Verification:
- Fatima scored more than Sahil.
- Bhavya scored less than Eshan but more than Jatin.
- Laksh scored the least.
ordering, ranking, scores, medium, inequalities

Question 18

8 persons sit around a circular table facing the center. Who sits second to the left of Laksh?
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 Laksh'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): Nihal -> Uma -> Hina -> Laksh -> Qadir -> Omar -> Bhavya -> Yash
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

Six persons have distinct preferences across Brand, Sport, and Vehicle. Using the clues, determine the complete mapping and answer: - Xavier does not prefer Theta or Volleyball. - The one who prefers Epsilon drives Car. - Kaira plays Cricket, and the one who drives Bike prefers Beta. - Neither Rhea nor Diya prefers Gamma. - The Chess player does not drive Cycle. - If someone prefers Eta, then they do not play Basketball. Question: Who drives the Ship?
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 Theta or Volleyball.
- The one who prefers Epsilon drives Car.
- Kaira plays Cricket, and the one who drives Bike prefers Beta.
- Neither Rhea nor Diya prefers Gamma.
- The Chess player does not drive Cycle.
- If someone prefers Eta, then they do not play Basketball.
Continue elimination until each row has a unique triplet.
Verified final mapping:
Person | Brand | Sport | Vehicle
--- | --- | --- | ---
Xavier | Epsilon | Chess | Ship
Uma | Theta | Basketball | Bike
Kaira | Gamma | Volleyball | Cycle
Rhea | Eta | Table Tennis | Car
Diya | Kappa | Cricket | Van
Fatima | Beta | Football | Metro
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 20

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 Yellow in color. 2. The box on the bottom floor (1st floor) is from Kolkata. 3. There are exactly 1 boxes between the Red box and the Brown box. 4. The box from Delhi is kept immediately below the box containing the Watch. 5. The Red box is kept on an even-numbered floor but not on the 2nd floor. 6. The box containing Charger is not kept on the topmost or bottommost floor. Question: The White box belongs to which city?
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 | Yellow | Pune | Laptop
6 | White | Bengaluru | Pen
5 | Blue | Delhi | Watch
4 | Brown | Hyderabad | Bottle
3 | Black | Mumbai | Charger
2 | Red | Chennai | Phone
1 | Purple | Kolkata | Book
box-puzzle, multi-attribute, stacking, hard, cat, banking
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