Data Arrangement Worksheet 8 - Beginner-Intermediate Level (data patterns) | 20 Questions

Question 1

Five talks are scheduled on distinct days of a week (Mon–Sun). Use the clues: - Priya's talk is earlier than Gaurav's. - Xavier's talk is neither first nor last. - Bhavya's talk is before Sahil's. Question: Who gives the talk on Tuesday?

Sequential Timeline
Order days as Monday→Sunday. Map constraints: 'earlier than', 'before', 'neither first nor last'.
Valid schedule: Monday:Priya, Tuesday:Bhavya, Thursday:Xavier, Saturday:Sahil, Sunday:Gaurav
Use inequalities to form partial orders and then linearize.
Verification:
- Priya's talk is earlier than Gaurav's.
- Xavier's talk is neither first nor last.
- Bhavya's talk is before Sahil's.

sequential, time, days, easy, before-after

Question 2

Eight people sit around a circular table. Clues: - Four people face the Center and four face Outside. - Zoya sits opposite Priya and both face the Center. - The neighbors of Jatin face the same direction, which is Center. - Ira sits second to the left of Yash. - Aarav is not an immediate neighbor of Zoya. Question: Who sits third to the right of Ira?

Mixed Facing Strategy:
- Center-facing: Left is Clockwise, Right is Counter-Clockwise.
- Outside-facing: Left is Counter-Clockwise, Right is Clockwise.
Clockwise arrangement: Zoya(Center) -> Jatin(Outside) -> Yash(Center) -> Ira(Outside) -> Priya(Center) -> Gaurav(Outside) -> Aarav(Center) -> Hina(Outside)
Ira faces Outside. 3rd Right is Zoya.

circular, mixed-directions, complex-logic, cat, banking

Question 3

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 4

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 909 has a higher score than the record from Bengaluru. - Diya's score is not the lowest. - The person from Chennai has an ID greater than 121. 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
--- | --- | --- | ---
909 | Kaira | Mumbai | 98
788 | Hina | Bengaluru | 72
569 | Diya | Hyderabad | 83
113 | Laksh | Chennai | 85
121 | Mira | Delhi | 87
Use comparative score clues and ID inequalities to identify maxima/minima.
Verification:
- The record with ID 909 has a higher score than the record from Bengaluru.
- Diya's score is not the lowest.
- The person from Chennai has an ID greater than 121.

database, records, constraints, hard, keys

Question 5

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 Tara 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 Tara and Hina?

Incomplete Information Strategy: Fixed Vacancy
The constraint on the vacant seat's relative position fixes it immediately.
Final arrangement (Seats 1-9): 1: Nihal; 2: Mira; 3: Ira; 4: Empty; 5: Wafa; 6: Eshan; 7: Tara; 8: Gaurav; 9: Hina
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 6

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

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 Omar'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 -> Qadir -> Yash -> Omar -> Ira -> Gaurav -> Jatin -> Cyrus
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 7

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

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 Bhavya'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 -> Bhavya -> Jatin -> Uma -> Fatima -> Omar -> Gaurav -> Diya
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

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 9

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 Pink and Box Green. - Box Red is kept immediately below Box Green. - Box Blue 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 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: Brown; 7: Pink; 6: Blue; 5: Yellow; 4: Purple; 3: Green; 2: Red; 1: Black
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 10

Six employees with distinct departments and roles form a reporting hierarchy. Use the clues to build the tree and answer: - Rhea and Omar report to Yash. - Uma and Tara report to Rhea. - Priya reports to Omar. - The Head is Yash in Tech department. Question: Who is the direct manager of Omar?

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):
- Yash → Rhea
- Yash → Omar
- Rhea → Uma
- Rhea → Tara
- Omar → Priya
Verification:
- All reporting relations satisfied.
- Unique direct manager per non-root node.
- Department/role association consistent with headship.

tree, hierarchy, manager, medium, organizational

Question 11

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 12

Six employees with distinct departments and roles form a reporting hierarchy. Use the clues to build the tree and answer: - Aarav and Uma report to Hina. - Nihal and Bhavya report to Aarav. - Qadir reports to Uma. - The Head is Hina in Sales department. Question: Who is the direct manager of Bhavya?

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):
- Hina → Aarav
- Hina → Uma
- Aarav → Nihal
- Aarav → Bhavya
- Uma → Qadir
Verification:
- All reporting relations satisfied.
- Unique direct manager per non-root node.
- Department/role association consistent with headship.

tree, hierarchy, manager, medium, organizational

Question 13

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 Kaira who likes Purple. - Fatima sits opposite Tara on the grid edges. - Nihal is at a corner and does not like Brown. - Tara is adjacent to Sahil. Question: In a 3x3 grid (rows and columns numbered 1 to 3), who occupies the cell at row 2, 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
--- | --- | ---
Sahil/Yellow | Tara/Brown | Gaurav/Blue
Omar/Green | Kaira/Purple | Zoya/Red
Laksh/Orange | Fatima/Black | Nihal/Pink
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 14

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

Inequality Chain
From highest to lowest: Laksh(score=94) > Diya(score=91) > Omar(score=88) > Fatima(score=85) > Zoya(score=82) > Priya(score=71)
Use pairwise comparisons to place each person in descending order.
Verification:
- Laksh scored more than Omar.
- Fatima scored less than Diya but more than Zoya.
- Priya scored the least.

ordering, ranking, scores, medium, inequalities

Question 15

Five persons each like a distinct color and prefer a distinct subject. Use the clues to complete the table and answer: - Zoya does not like Orange or Chemistry. - The one who likes Red prefers Computer. - Diya prefers Science. - Bhavya does not prefer Music. - The Yellow-lover is not Laksh. Question: Who likes the color Brown?

Table Method
Create a 5x3 table with Person vs (Color, Subject). Use exclusion clues to mark X, and direct clues to fill ✓.
Process:
- Zoya does not like Orange or Chemistry.
- The one who likes Red prefers Computer.
- Diya prefers Science.
- Bhavya does not prefer Music.
- The Yellow-lover is not Laksh.
After consistent deductions and elimination, the unique mapping is:
Person | Color | Subject
--- | --- | ---
Zoya | Red | Music
Bhavya | Orange | Computer
Diya | Yellow | Chemistry
Laksh | Brown | Science
Omar | Blue | 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 16

Eight people sit around a circular table. Clues: - Four people face the Center and four face Outside. - Fatima sits opposite Diya and both face the Center. - The neighbors of Nihal face the same direction, which is Center. - Rhea sits second to the left of Laksh. - Sahil is not an immediate neighbor of Fatima. Question: Who sits third to the right of Rhea?

Mixed Facing Strategy:
- Center-facing: Left is Clockwise, Right is Counter-Clockwise.
- Outside-facing: Left is Counter-Clockwise, Right is Clockwise.
Clockwise arrangement: Fatima(Center) -> Nihal(Outside) -> Laksh(Center) -> Rhea(Outside) -> Diya(Center) -> Omar(Outside) -> Sahil(Center) -> Qadir(Outside)
Rhea faces Outside. 3rd Right is Fatima.

circular, mixed-directions, complex-logic, cat, banking

Question 17

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 18

Six people scored distinct marks. Use the clues to rank them from highest to lowest: - Eshan scored more than Fatima. - Xavier scored less than Yash but more than Vihaan. - Mira scored the least. Question: Who is ranked third by score (1st = highest)?

Inequality Chain
From highest to lowest: Eshan(score=85) > Yash(score=77) > Fatima(score=69) > Xavier(score=68) > Vihaan(score=67) > Mira(score=61)
Use pairwise comparisons to place each person in descending order.
Verification:
- Eshan scored more than Fatima.
- Xavier scored less than Yash but more than Vihaan.
- Mira scored the least.

ordering, ranking, scores, medium, inequalities

Question 19

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: Who sits 2rd to the right of Aarav?

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 20

Six people sit in a row facing North. Conditions: - Laksh sits at the extreme right end (Position 6). - There are three people sitting between Zoya and Diya. - Eshan sits third to the right of Diya. - Neither Ira nor Rhea 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: Diya, Ira, Rhea, Eshan, Zoya, Laksh
- Case 2: Diya, Rhea, Ira, Eshan, Zoya, Laksh
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

Data Arrangement - Beginner-Intermediate Level: data patterns BEGINNER-INTERMEDIATE

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