Data Arrangement Worksheet 23 - Advanced Level (data patterns) | 20 Questions

Question 1

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 Priya who likes Brown. - Rhea sits opposite Tara on the grid edges. - Gaurav is at a corner and does not like White. - Bhavya is adjacent to Aarav. Question: In a 3x3 grid (rows and columns numbered 1 to 3), who occupies the cell at row 1, column 3?

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
--- | --- | ---
Aarav/Pink | Rhea/Purple | Fatima/Blue
Bhavya/Black | Priya/Brown | Cyrus/Red
Xavier/Yellow | Tara/White | Gaurav/Green
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 2

Six persons have distinct preferences across Brand, Sport, and Vehicle. Using the clues, determine the complete mapping and answer: - Priya does not prefer Eta or Football. - The one who prefers Beta drives Train. - Omar plays Table Tennis, and the one who drives Bike prefers Theta. - Neither Eshan nor Kaira prefers Alpha. - The Hockey player does not drive Car. - If someone prefers Zeta, then they do not play Tennis. Question: Who plays Table Tennis?

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.
- Priya does not prefer Eta or Football.
- The one who prefers Beta drives Train.
- Omar plays Table Tennis, and the one who drives Bike prefers Theta.
- Neither Eshan nor Kaira prefers Alpha.
- The Hockey player does not drive Car.
- If someone prefers Zeta, then they do not play Tennis.
Continue elimination until each row has a unique triplet.
Verified final mapping:
Person | Brand | Sport | Vehicle
--- | --- | --- | ---
Priya | Beta | Hockey | Bus
Xavier | Eta | Tennis | Bike
Omar | Alpha | Football | Car
Eshan | Zeta | Basketball | Train
Kaira | Kappa | Table Tennis | Metro
Rhea | Theta | Athletics | Cycle
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 3

Ten family members sit around a circular table facing the center. Using the following information: Family Relationships: • Grandfather is the father of Father and Uncle. • Aarav is the son of Father. • Diya is the niece of Father. • Bhavya is the sister of Cyrus. • Mother is the daughter-in-law of Grandmother. • Aunt is the wife of Uncle. Seating Arrangement: • Grandfather sits opposite to Grandmother. • Father sits second to the right of Grandfather. • Aarav sits adjacent to his mother. • Diya sits third to the left of Uncle. • Bhavya does not sit adjacent to Cyrus. Question: How is Diya related to Uncle?

Blood Relations + Circular Seating Strategy
Step 1: Draw the family tree from relationship clues:
Grandfather (M) + Grandmother (F)
├── Father (M) + Mother (F)
│ ├── Aarav (M)
│ ├── Bhavya (F)
│ └── Cyrus (M)
└── Uncle (M) + Aunt (F)
└── Diya (F)

Step 2: Apply seating clues to arrange 10 persons around a circle:
Clockwise arrangement: Grandfather -> Grandmother -> Father -> Mother -> Aarav -> Bhavya -> Cyrus -> Diya -> Uncle -> Aunt

Step 3: Verify all constraints:
✓ Grandfather is the father of Father and Uncle.
✓ Aarav is the son of Father.
✓ Diya is the niece of Father.
✓ Bhavya is the sister of Cyrus.
✓ Mother is the daughter-in-law of Grandmother.
✓ Aunt is the wife of Uncle.
✓ Grandfather sits opposite to Grandmother.
✓ Father sits second to the right of Grandfather.
✓ Aarav sits adjacent to his mother.
✓ Diya sits third to the left of Uncle.
✓ Bhavya does not sit adjacent to Cyrus.

blood-relations, circular, family-tree, hard, ssc, banking

Question 4

Eight boxes are stacked on 8 different floors (Floor 8 is the top). Conditions: - Box Pink is kept on the topmost floor (8). - There are exactly four boxes between Box Red and Box Blue. - Box Orange is kept immediately below Box Blue. - Box Yellow is kept on an odd-numbered floor, but not floor 1. - Box Black is not kept on an even-numbered floor. Question: How many boxes are placed between Box Yellow and Box Orange?

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: Pink; 7: Red; 6: Yellow; 5: Green; 4: Purple; 3: Blue; 2: Orange; 1: Black
Verification: Box Yellow is on F6 and Box Orange is on F2. The boxes between are on F5, F4, F3 (3 boxes).

categorical, stacking, floor-puzzle, banking, ssc

Question 5

Five talks are scheduled on distinct days of a week (Mon–Sun). Use the clues: - Xavier's talk is earlier than Wafa's. - Diya's talk is neither first nor last. - Priya's talk is before Yash'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: Monday:Xavier, Tuesday:Priya, Friday:Diya, Saturday:Yash, Sunday:Wafa
Use inequalities to form partial orders and then linearize.
Verification:
- Xavier's talk is earlier than Wafa's.
- Diya's talk is neither first nor last.
- Priya's talk is before Yash's.

sequential, time, days, easy, before-after

Question 6

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 Diya and Mira clockwise starting from Diya?

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): Diya -> Cyrus -> Hina -> Eshan -> Mira -> Uma -> Ira -> Rhea
Verification:
- Corners and middles alternate.
- Counting excludes the starting and ending persons.
- Computed count matches traversal.

rectangular, square-table, corners, middles, medium

Question 7

Six employees with distinct departments and roles form a reporting hierarchy. Use the clues to build the tree and answer: - Qadir and Sahil report to Mira. - Hina and Jatin report to Qadir. - Xavier reports to Sahil. - The Head is Mira in Ops department. Question: Who is the direct manager of Jatin?

Hierarchical Tree Construction
Draw a tree: place the Head at root. Connect direct reports according to clues.
Assign departments/roles after structure is stable.
Final tree edges (manager → report):
- Mira → Qadir
- Mira → Sahil
- Qadir → Hina
- Qadir → Jatin
- Sahil → Xavier
Verification:
- All reporting relations satisfied.
- Unique direct manager per non-root node.
- Department/role association consistent with headship.

tree, hierarchy, manager, medium, organizational

Question 8

Study the following path and answer the question: A person starts from point P and walks 10 km towards North. He then turns right and walks 5 km. He then turns right again and walks 3 km. Question: After completing the 1st segment, which direction is the person facing?

Direction Sense Strategy
Step 1: Track position on coordinate grid (East = +x, North = +y)
Start at (0,0) facing North
Step 1: Move +10 in y-direction → position updates
Step 2: Move +5 in x-direction
Step 3: Move -3 in y-direction

Final Position: (5, 7)
Final Facing Direction: South

Answer to question: North

direction, distance, displacement, medium, ssc, upsc

Question 9

Eight people Cyrus, Nihal, Fatima, Aarav, Hina, Tara, Uma, Zoya sit in a row facing north. Clues: - Fatima sits at an even-numbered position (2, 4, 6, or 8). - There are exactly two persons between Fatima and Tara. - Uma does not sit at any extreme end. - Zoya sits at position 1. Question: At which position from the left does Tara sit?

Logical Flow:
1. Fatima is at position 6 (even position).
2. Distance between Fatima and Tara is exactly 3 seats → Tara at position 3.
3. Uma cannot be at position 1 or 8 → Uma at position 5.
4. Zoya is fixed at position 1.
Arrangement: Position 1: Zoya; Position 2: Hina; Position 3: Tara; Position 4: Aarav; Position 5: Uma; Position 6: Fatima; Position 7: Nihal; Position 8: Cyrus

linear, single-row, positions, medium, distance, position-number

Question 10

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 Cyrus is a fixed person (clue to force uniqueness). Question: In a row of 9 seats with one seat vacant, how many persons/seats are between Cyrus and Vihaan?

Incomplete Information Strategy: Fixed Vacancy
The constraint on the vacant seat's relative position fixes it immediately.
Final arrangement (Seats 1-9): 1: Xavier; 2: Cyrus; 3: Eshan; 4: Empty; 5: Fatima; 6: Ira; 7: Bhavya; 8: Vihaan; 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 11

Eight people sit in two rows of four each. Row-1 faces south and Row-2 faces north. Opposite seats align by index. - Laksh sits opposite Priya. - Vihaan sits second from one end. - Mira sits at an extreme end. - The person opposite Rhea is not at an extreme end. Question: Who sits directly opposite Rhea?

Table Method: Row-1 (top, South-facing) and Row-2 (bottom, North-facing) are parallel.
Fixed: Laksh opposite Priya. Use the end constraints on Mira and the non-end constraint for the person opposite Rhea.
One valid arrangement:
Row-1 (South, L→R): Laksh, Vihaan, Xavier, Yash
Row-2 (North, L→R): Priya, Gaurav, Mira, Rhea
Verification:
- Laksh sits opposite Priya.
- Vihaan sits second from one end.
- Mira sits at an extreme end.
- The person opposite Rhea is not at an extreme end.

double-row, facing, opposites, easy, ssc

Question 12

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 Mira who likes Green. - Bhavya sits opposite Diya on the grid edges. - Eshan is at a corner and does not like Pink. - Diya is adjacent to Jatin. Question: In a 3x3 grid (rows and columns numbered 1 to 3), who occupies the cell at row 1, column 2?

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
--- | --- | ---
Eshan/Red | Diya/Pink | Jatin/Brown
Nihal/Yellow | Mira/Green | Aarav/White
Rhea/Orange | Bhavya/Purple | Yash/Blue
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 13

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 → 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 → position updates

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

Answer to question: 8.2

direction, distance, displacement, medium, ssc, upsc

Question 14

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 205 has a higher score than the record from Chennai. - Aarav's score is not the lowest. - The person from Mumbai has an ID greater than 997. 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
--- | --- | --- | ---
256 | Jatin | Delhi | 70
945 | Mira | Chennai | 84
205 | Aarav | Bengaluru | 86
283 | Kaira | Mumbai | 74
997 | Sahil | Hyderabad | 77
Use comparative score clues and ID inequalities to identify maxima/minima.
Verification:
- The record with ID 205 has a higher score than the record from Chennai.
- Aarav's score is not the lowest.
- The person from Mumbai has an ID greater than 997.

database, records, constraints, hard, keys

Question 15

Eight people sit in two rows of four each. Row-1 faces south and Row-2 faces north. Opposite seats align by index. - Hina sits opposite Tara. - Omar sits second from one end. - Jatin sits at an extreme end. - The person opposite Aarav is not at an extreme end. Question: Who sits directly opposite Gaurav?

Table Method: Row-1 (top, South-facing) and Row-2 (bottom, North-facing) are parallel.
Fixed: Hina opposite Tara. Use the end constraints on Jatin and the non-end constraint for the person opposite Aarav.
One valid arrangement:
Row-1 (South, L→R): Hina, Omar, Gaurav, Priya
Row-2 (North, L→R): Tara, Wafa, Jatin, Aarav
Verification:
- Hina sits opposite Tara.
- Omar sits second from one end.
- Jatin sits at an extreme end.
- The person opposite Aarav is not at an extreme end.

double-row, facing, opposites, easy, ssc

Question 16

Eight people Yash, Hina, Nihal, Xavier, Rhea, Jatin, Zoya, Qadir sit in a row facing north. Clues: - Xavier sits at an even-numbered position (2, 4, 6, or 8). - There are exactly two persons between Xavier and Hina. - Jatin does not sit at any extreme end. - Zoya sits at position 2. Question: How many persons sit between Hina and Xavier?

Logical Flow:
1. Xavier is at position 8 (even position).
2. Distance between Xavier and Hina is exactly 3 seats → Hina at position 5.
3. Jatin cannot be at position 1 or 8 → Jatin at position 6.
4. Zoya is fixed at position 2.
Arrangement: Position 1: Rhea; Position 2: Zoya; Position 3: Qadir; Position 4: Nihal; Position 5: Hina; Position 6: Jatin; Position 7: Yash; Position 8: Xavier

linear, single-row, positions, medium, distance, position-number

Question 17

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 Fatima and Aarav clockwise starting from Fatima?

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): Uma -> Priya -> Fatima -> Vihaan -> Diya -> Aarav -> Gaurav -> Jatin
Verification:
- Corners and middles alternate.
- Counting excludes the starting and ending persons.
- Computed count matches traversal.

rectangular, square-table, corners, middles, medium

Question 18

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 622 has a higher score than the record from Chennai. - Xavier's score is not the lowest. - The person from Hyderabad has an ID greater than 810. 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
--- | --- | --- | ---
393 | Mira | Delhi | 81
159 | Tara | Chennai | 82
765 | Xavier | Mumbai | 73
622 | Fatima | Hyderabad | 98
810 | Jatin | Bengaluru | 91
Use comparative score clues and ID inequalities to identify maxima/minima.
Verification:
- The record with ID 622 has a higher score than the record from Chennai.
- Xavier's score is not the lowest.
- The person from Hyderabad has an ID greater than 810.

database, records, constraints, hard, keys

Question 19

Six persons have distinct preferences across Brand, Sport, and Vehicle. Using the clues, determine the complete mapping and answer: - Priya does not prefer Beta or Football. - The one who prefers Alpha drives Scooter. - Xavier plays Badminton, and the one who drives Train prefers Delta. - Neither Aarav nor Kaira prefers Epsilon. - The Cricket player does not drive Van. - If someone prefers Theta, then they do not play Athletics. 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.
- Priya does not prefer Beta or Football.
- The one who prefers Alpha drives Scooter.
- Xavier plays Badminton, and the one who drives Train prefers Delta.
- Neither Aarav nor Kaira prefers Epsilon.
- The Cricket player does not drive Van.
- If someone prefers Theta, then they do not play Athletics.
Continue elimination until each row has a unique triplet.
Verified final mapping:
Person | Brand | Sport | Vehicle
--- | --- | --- | ---
Priya | Alpha | Cricket | Bus
Zoya | Beta | Athletics | Train
Xavier | Epsilon | Football | Van
Aarav | Theta | Basketball | Scooter
Kaira | Kappa | Badminton | Ship
Uma | Delta | Table Tennis | 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 20

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

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

sequential, priority, inequalities, medium, chain

Data Arrangement - Advanced Level: data patterns ADVANCED

What you'll learn in this worksheet:

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20