Data Arrangement Worksheet 12 - Beginner-Intermediate Level (hierarchical arrangement) | 20 Questions

Question 1

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

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

double-row, facing, opposites, easy, ssc

Question 2

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 Aarav related to Grandfather?

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 3

Eight people sit in two rows of four each. Row-1 faces south and Row-2 faces north. Opposite seats align by index. - Gaurav sits opposite Bhavya. - Qadir sits second from one end. - Mira sits at an extreme end. - The person opposite Cyrus 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: Gaurav opposite Bhavya. Use the end constraints on Mira and the non-end constraint for the person opposite Cyrus.
One valid arrangement:
Row-1 (South, L→R): Gaurav, Qadir, Laksh, Hina
Row-2 (North, L→R): Bhavya, Jatin, Mira, Cyrus
Verification:
- Gaurav sits opposite Bhavya.
- Qadir sits second from one end.
- Mira sits at an extreme end.
- The person opposite Cyrus is not at an extreme end.

double-row, facing, opposites, easy, ssc

Question 4

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

Inequality Chain
From highest to lowest: Bhavya(score=96) > Tara(score=90) > Sahil(score=88) > Uma(score=86) > Rhea(score=79) > Eshan(score=73)
Use pairwise comparisons to place each person in descending order.
Verification:
- Bhavya scored more than Sahil.
- Uma scored less than Tara but more than Rhea.
- Eshan scored the least.

ordering, ranking, scores, medium, inequalities

Question 5

Seven persons sit in a row facing north. Use the conditions: - Nihal sits at the leftmost end. - Eshan sits at the rightmost end. - If Nihal sits to the left of Yash, then Ira must be at an extreme end. - If Tara is adjacent to Mira, then Diya does not sit at position 4. - Eshan 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: Nihal; Position 2: Yash; Position 3: Ira; Position 4: Tara; Position 5: Mira; Position 6: Diya; Position 7: Eshan
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 6

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 7

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 8

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

Logical Flow:
1. Jatin is at position 8 (even position).
2. Distance between Jatin and Fatima is exactly 3 seats → Fatima at position 5.
3. Ira cannot be at position 1 or 8 → Ira at position 7.
4. Omar is fixed at position 1.
Arrangement: Position 1: Omar; Position 2: Kaira; Position 3: Zoya; Position 4: Tara; Position 5: Fatima; Position 6: Priya; Position 7: Ira; Position 8: Jatin

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

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: After completing the 2nd 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 +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: West

direction, distance, displacement, medium, ssc, upsc

Question 10

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

Spreadsheet Reasoning
Create a table of (Rep, Month, Sales) and use inequality clues to rank.
Rep | Month | Sales
--- | --- | ---
Ira | Jun | 360
Laksh | Dec | 175
Wafa | Apr | 352
Omar | Jan | 186
Kaira | Sep | 480
Identify the maximum sales row to answer the query.
Verification:
- Ira sold more units than Laksh.
- The highest sale was in Sep.
- Wafa sold fewer units than Omar.

spreadsheet, real-world, sales, medium, months

Question 11

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

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

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

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. - Yash sits opposite Bhavya. - Sahil sits second from one end. - Vihaan sits at an extreme end. - The person opposite Xavier is not at an extreme end. Question: Who sits directly opposite Xavier?

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

double-row, facing, opposites, easy, ssc

Question 13

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 Kaira and Cyrus clockwise starting from Kaira?

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): Hina -> Kaira -> Omar -> Bhavya -> Eshan -> Qadir -> Cyrus -> Sahil
Verification:
- Corners and middles alternate.
- Counting excludes the starting and ending persons.
- Computed count matches traversal.

rectangular, square-table, corners, middles, medium

Question 14

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 many persons sit between Uncle and Grandmother (the shorter path)?

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 15

Eight boxes are stacked on 8 different floors (Floor 8 is the top). Conditions: - Box Black is kept on the topmost floor (8). - There are exactly four boxes between Box Blue and Box Green. - Box Red is kept immediately below Box Green. - Box Yellow is kept on an odd-numbered floor, but not floor 1. - Box Brown is not kept on an even-numbered floor. Question: How many boxes are placed between Box Yellow 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: Black; 7: Blue; 6: Yellow; 5: Pink; 4: Orange; 3: Green; 2: Red; 1: Brown
Verification: Box Yellow 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 16

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 17

Seven persons sit in a row facing north. Use the conditions: - Bhavya sits at the leftmost end. - Xavier sits at the rightmost end. - If Bhavya sits to the left of Eshan, then Priya must be at an extreme end. - If Yash is adjacent to Vihaan, then Uma does not sit at position 4. - Xavier 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: Bhavya; Position 2: Eshan; Position 3: Priya; Position 4: Yash; Position 5: Vihaan; Position 6: Uma; Position 7: Xavier
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 18

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. - Vihaan did not take 52 minutes and is not ranked 4. - The fastest finisher attempted History. - The one ranked 3 took more time than Laksh. 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 | 73 | Physics
Mira | 2 | 39 | Math
Vihaan | 3 | 52 | Chemistry
Eshan | 4 | 54 | History
Laksh | 5 | 31 | Geography
Integrate constraints across dimensions and validate uniqueness.
Verification:
- The student ranked 1 finished earlier than the one who attempted Math.
- Vihaan did not take 52 minutes and is not ranked 4.
- The fastest finisher attempted History.
- The one ranked 3 took more time than Laksh.

integration, rank, time, subject, hard, olympiad

Question 19

Five persons have distinct heights. Use the clues to determine their relative heights: - Tara is taller than Laksh. - Nihal is shorter than Wafa but taller than Cyrus. - Laksh is not the tallest. Question: Who is the tallest among them?

Ordering by Comparative Statements
Heights ascending: Cyrus(159cm) < Nihal(164cm) < Wafa(175cm) < Laksh(186cm) < Tara(188cm)
Place by pairwise comparisons; confirm unique top and bottom.
Verification:
- Tara is taller than Laksh.
- Nihal is shorter than Wafa but taller than Cyrus.
- Laksh is not the tallest.

ordering, size, heights, easy, comparatives

Question 20

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

Inequality Chain
From highest to lowest: Mira(score=96) > Sahil(score=84) > Cyrus(score=76) > Priya(score=71) > Aarav(score=70) > Qadir(score=61)
Use pairwise comparisons to place each person in descending order.
Verification:
- Mira scored more than Cyrus.
- Priya scored less than Sahil but more than Aarav.
- Qadir scored the least.

ordering, ranking, scores, medium, inequalities

Data Arrangement - Beginner-Intermediate Level: hierarchical arrangement 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