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Data Arrangement - Advanced Level: hierarchical arrangement ADVANCED

Quick competitive exam prep session: 20 advanced-level data arrangement questions. Worksheet 27 of 30 - Focus: hierarchical arrangement. Practice arrangement logic, systematic ordering, data patterns with instant feedback. Great for advanced students needing complex scenarios and multi-step problems practice.

📝 Worksheet 27 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

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Worksheet 27 of 30 (90% complete)

Question 1

Five persons have distinct heights. Use the clues to determine their relative heights: - Eshan is taller than Laksh. - Diya is shorter than Nihal but taller than Rhea. - Laksh is not the tallest. Question: Who is the tallest among them?
Ordering by Comparative Statements
Heights ascending: Rhea(150cm) < Diya(151cm) < Nihal(169cm) < Laksh(178cm) < Eshan(186cm)
Place by pairwise comparisons; confirm unique top and bottom.
Verification:
- Eshan is taller than Laksh.
- Diya is shorter than Nihal but taller than Rhea.
- Laksh is not the tallest.
ordering, size, heights, easy, comparatives

Question 2

Six employees with distinct departments and roles form a reporting hierarchy. Use the clues to build the tree and answer: - Nihal and Sahil report to Fatima. - Xavier and Priya report to Nihal. - Cyrus reports to Sahil. - The Head is Fatima in Tech department. Question: Who is the direct manager of Nihal?
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):
- Fatima → Nihal
- Fatima → Sahil
- Nihal → Xavier
- Nihal → Priya
- Sahil → Cyrus
Verification:
- All reporting relations satisfied.
- Unique direct manager per non-root node.
- Department/role association consistent with headship.
tree, hierarchy, manager, medium, organizational

Question 3

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

Question 4

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 Mira 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 Mira 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: Eshan; 2: Mira; 3: Omar; 4: Zoya; 5: Hina; 6: Tara; 7: Empty; 8: Fatima; 9: Qadir
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 5

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 left of 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 6

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

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 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 +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: 2.0
direction, distance, displacement, medium, ssc, upsc

Question 8

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 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 +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
direction, distance, displacement, medium, ssc, upsc

Question 9

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

Question 10

Six persons have distinct preferences across Brand, Sport, and Vehicle. Using the clues, determine the complete mapping and answer: - Qadir does not prefer Gamma or Volleyball. - The one who prefers Theta drives Metro. - Omar plays Basketball, and the one who drives Cycle prefers Eta. - Neither Yash nor Mira prefers Iota. - The Table Tennis player does not drive Bus. - If someone prefers Alpha, then they do not play Hockey. Question: Who plays Hockey?
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.
- Qadir does not prefer Gamma or Volleyball.
- The one who prefers Theta drives Metro.
- Omar plays Basketball, and the one who drives Cycle prefers Eta.
- Neither Yash nor Mira prefers Iota.
- The Table Tennis player does not drive Bus.
- If someone prefers Alpha, then they do not play Hockey.
Continue elimination until each row has a unique triplet.
Verified final mapping:
Person | Brand | Sport | Vehicle
--- | --- | --- | ---
Qadir | Theta | Table Tennis | Van
Bhavya | Gamma | Hockey | Cycle
Omar | Iota | Volleyball | Bus
Yash | Alpha | Chess | Metro
Mira | Beta | Basketball | Scooter
Sahil | Eta | Football | 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

Six tasks T1–T6 have distinct priorities from 1 (highest) to 6 (lowest). Use the clues: - T1 has higher priority than T2. - T3 is the least urgent. - T6's priority is between T1 and T5. Question: Which task has the second-highest priority (just below the highest)?
Symbolic Reasoning with Inequalities
Priority chain (lower number = higher priority): T1(prio=1) > T6(prio=2) > T2(prio=3) > T5(prio=4) > T4(prio=5) > T3(prio=6)
From clues, derive inequalities and place tasks accordingly.
Verification:
- T1 has higher priority than T2.
- T3 is the least urgent.
- T6's priority is between T1 and T5.
sequential, priority, inequalities, medium, chain

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. - Priya sits opposite Kaira. - Wafa sits second from one end. - Laksh sits at an extreme end. - The person opposite Fatima 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: Priya opposite Kaira. Use the end constraints on Laksh and the non-end constraint for the person opposite Fatima.
One valid arrangement:
Row-1 (South, L→R): Priya, Wafa, Omar, Hina
Row-2 (North, L→R): Kaira, Qadir, Laksh, Fatima
Verification:
- Priya sits opposite Kaira.
- Wafa sits second from one end.
- Laksh sits at an extreme end.
- The person opposite Fatima is not at an extreme end.
double-row, facing, opposites, easy, ssc

Question 13

Six people sit in a row facing North. Conditions: - Uma sits at the extreme right end (Position 6). - There are three people sitting between Nihal and Gaurav. - Bhavya sits third to the right of Gaurav. - Neither Priya nor Yash sits at any extreme end. Question: Who is sitting at the immediate right of Bhavya?
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: Gaurav, Priya, Yash, Bhavya, Nihal, Uma
- Case 2: Gaurav, Yash, Priya, Bhavya, Nihal, Uma
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 14

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 Rhea who likes Brown. - Vihaan sits opposite Omar on the grid edges. - Jatin is at a corner and does not like Pink. - Yash is adjacent to Rhea. 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
--- | --- | ---
Aarav/Yellow | Yash/Red | Jatin/Green
Vihaan/White | Rhea/Brown | Omar/Pink
Fatima/Blue | Tara/Black | Uma/Orange
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 15

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

Question 16

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

Question 17

Five persons each like a distinct color and prefer a distinct subject. Use the clues to complete the table and answer: - Kaira does not like White or Geography. - The one who likes Orange prefers Music. - Ira prefers Physics. - Omar does not prefer English. - The Black-lover is not Sahil. Question: Who likes the color Purple?
Table Method
Create a 5x3 table with Person vs (Color, Subject). Use exclusion clues to mark X, and direct clues to fill ✓.
Process:
- Kaira does not like White or Geography.
- The one who likes Orange prefers Music.
- Ira prefers Physics.
- Omar does not prefer English.
- The Black-lover is not Sahil.
After consistent deductions and elimination, the unique mapping is:
Person | Color | Subject
--- | --- | ---
Kaira | Orange | English
Omar | White | Music
Ira | Black | Geography
Sahil | Purple | Physics
Mira | Red | 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 18

Five persons have distinct heights. Use the clues to determine their relative heights: - Cyrus is taller than Kaira. - Uma is shorter than Tara but taller than Ira. - Kaira is not the tallest. Question: Who is the tallest among them?
Ordering by Comparative Statements
Heights ascending: Ira(154cm) < Uma(161cm) < Tara(165cm) < Kaira(180cm) < Cyrus(183cm)
Place by pairwise comparisons; confirm unique top and bottom.
Verification:
- Cyrus is taller than Kaira.
- Uma is shorter than Tara but taller than Ira.
- Kaira is not the tallest.
ordering, size, heights, easy, comparatives

Question 19

Five talks are scheduled on distinct days of a week (Mon–Sun). Use the clues: - Mira's talk is earlier than Fatima's. - Rhea's talk is neither first nor last. - Jatin's talk is before Nihal'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:Mira, Thursday:Jatin, Friday:Rhea, Saturday:Nihal, Sunday:Fatima
Use inequalities to form partial orders and then linearize.
Verification:
- Mira's talk is earlier than Fatima's.
- Rhea's talk is neither first nor last.
- Jatin's talk is before Nihal's.
sequential, time, days, easy, before-after

Question 20

Six tasks T1–T6 have distinct priorities from 1 (highest) to 6 (lowest). Use the clues: - T1 has higher priority than T4. - T6 is the least urgent. - T3's priority is between T1 and T5. Question: Which task has the second-highest priority (just below the highest)?
Symbolic Reasoning with Inequalities
Priority chain (lower number = higher priority): T1(prio=1) > T3(prio=2) > T4(prio=3) > T5(prio=4) > T2(prio=5) > T6(prio=6)
From clues, derive inequalities and place tasks accordingly.
Verification:
- T1 has higher priority than T4.
- T6 is the least urgent.
- T3's priority is between T1 and T5.
sequential, priority, inequalities, medium, chain
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