Data Arrangement Worksheet 4 - Beginner Level (pattern ordering) | 20 Questions

Question 1

Six tasks T1–T6 have distinct priorities from 1 (highest) to 6 (lowest). Use the clues: - T6 has higher priority than T4. - T2 is the least urgent. - T5's priority is between T6 and T3. Question: Which task has the second-highest priority (just below the highest)?

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

sequential, priority, inequalities, medium, chain

Question 2

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 Purple. - Cyrus sits opposite Gaurav on the grid edges. - Vihaan is at a corner and does not like White. - Cyrus is adjacent to Vihaan. 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
--- | --- | ---
Uma/Green | Gaurav/White | Laksh/Orange
Mira/Yellow | Rhea/Purple | Bhavya/Black
Zoya/Blue | Cyrus/Pink | Vihaan/Red
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 3

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 Brown. - Box Pink is kept immediately below Box Brown. - Box White is kept on an odd-numbered floor, but not floor 1. - Box Orange is not kept on an even-numbered floor. Question: How many boxes are placed between Box White and Box Pink?

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: White; 5: Purple; 4: Yellow; 3: Brown; 2: Pink; 1: Orange
Verification: Box White is on F6 and Box Pink is on F2. The boxes between are on F5, F4, F3 (3 boxes).

categorical, stacking, floor-puzzle, banking, ssc

Question 4

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

A company's five sales representatives each recorded distinct monthly sales. Use the clues to analyze: - Yash sold more units than Aarav. - The highest sale was in Jun. - Fatima sold fewer units than Kaira. Question: Who recorded the highest sales?

Spreadsheet Reasoning
Create a table of (Rep, Month, Sales) and use inequality clues to rank.
Rep | Month | Sales
--- | --- | ---
Yash | Jun | 336
Aarav | May | 225
Fatima | Jul | 308
Kaira | Aug | 278
Omar | Oct | 143
Identify the maximum sales row to answer the query.
Verification:
- Yash sold more units than Aarav.
- The highest sale was in Jun.
- Fatima sold fewer units than Kaira.

spreadsheet, real-world, sales, medium, months

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

box-puzzle, multi-attribute, stacking, hard, cat, banking

Question 7

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

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) -> Ira(Outside) -> Rhea(Center) -> Vihaan(Outside) -> Bhavya(Center) -> Tara(Outside) -> Sahil(Center) -> Hina(Outside)
Vihaan faces Outside. 3rd Right is Zoya.

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

Question 8

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

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 Aarav. - Omar sits second from one end. - Wafa sits at an extreme end. - The person opposite Jatin is not at an extreme end. Question: Who sits directly opposite Diya?

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

double-row, facing, opposites, easy, ssc

Question 10

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

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

sequential, priority, inequalities, medium, chain

Question 11

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 Physics. - Qadir did not take 80 minutes and is not ranked 4. - The fastest finisher attempted Art. - The one ranked 3 took more time than Ira. 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
--- | --- | --- | ---
Jatin | 1 | 36 | History
Mira | 2 | 31 | Physics
Qadir | 3 | 80 | Chemistry
Eshan | 4 | 61 | Art
Ira | 5 | 45 | Science
Integrate constraints across dimensions and validate uniqueness.
Verification:
- The student ranked 1 finished earlier than the one who attempted Physics.
- Qadir did not take 80 minutes and is not ranked 4.
- The fastest finisher attempted Art.
- The one ranked 3 took more time than Ira.

integration, rank, time, subject, hard, olympiad

Question 12

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 Orange in color. 2. The box on the bottom floor (1st floor) is from Hyderabad. 3. There are exactly 2 boxes between the Purple box and the Orange box. 4. The box from Delhi is kept immediately below the box containing the Laptop. 5. The Pink box is kept on an even-numbered floor but not on the 2nd floor. 6. The box containing Pen is not kept on the topmost or bottommost floor. Question: How many boxes are kept between the Purple and Orange boxes?

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 | Orange | Mumbai | Book
6 | Blue | Bengaluru | Bottle
5 | Red | Chennai | Watch
4 | Purple | Delhi | Laptop
3 | Black | Pune | Charger
2 | Pink | Kolkata | Phone
1 | Green | Hyderabad | Pen

box-puzzle, multi-attribute, stacking, hard, cat, banking

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 Rhea 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 Rhea and Ira?

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

Five persons have distinct heights. Use the clues to determine their relative heights: - Zoya is taller than Diya. - Kaira is shorter than Priya but taller than Cyrus. - Diya is not the tallest. Question: Who is the tallest among them?

Ordering by Comparative Statements
Heights ascending: Cyrus(156cm) < Kaira(167cm) < Priya(174cm) < Diya(177cm) < Zoya(188cm)
Place by pairwise comparisons; confirm unique top and bottom.
Verification:
- Zoya is taller than Diya.
- Kaira is shorter than Priya but taller than Cyrus.
- Diya is not the tallest.

ordering, size, heights, easy, comparatives

Question 15

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 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 16

Six people sit in a row facing North. Conditions: - Uma sits at the extreme right end (Position 6). - There are three people sitting between Eshan and Wafa. - Sahil sits third to the right of Wafa. - Neither Qadir nor Yash sits at any extreme end. Question: Who is sitting at the immediate right of Sahil?

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, Qadir, Yash, Sahil, Eshan, Uma
- Case 2: Wafa, Yash, Qadir, Sahil, Eshan, 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 17

Six tasks T1–T6 have distinct priorities from 1 (highest) to 6 (lowest). Use the clues: - T2 has higher priority than T4. - T6 is the least urgent. - T3's priority is between T2 and T1. Question: Which task has the second-highest priority (just below the highest)?

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

sequential, priority, inequalities, medium, chain

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 592 has a higher score than the record from Delhi. - Kaira's score is not the lowest. - The person from Bengaluru has an ID greater than 832. 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
--- | --- | --- | ---
781 | Aarav | Chennai | 94
778 | Ira | Delhi | 81
179 | Kaira | Mumbai | 98
592 | Mira | Bengaluru | 99
832 | Sahil | Hyderabad | 80
Use comparative score clues and ID inequalities to identify maxima/minima.
Verification:
- The record with ID 592 has a higher score than the record from Delhi.
- Kaira's score is not the lowest.
- The person from Bengaluru has an ID greater than 832.

database, records, constraints, hard, keys

Question 19

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 Pink box and the White box. 4. The box from Delhi is kept immediately below the box containing the Book. 5. The Green box is kept on an even-numbered floor but not on the 2nd floor. 6. The box containing Book is not kept on the topmost or bottommost floor. Question: How many boxes are kept between the Purple and Green boxes?

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 | Mumbai | Bottle
6 | White | Pune | Pen
5 | Purple | Kolkata | Charger
4 | Pink | Bengaluru | Watch
3 | Brown | Delhi | Book
2 | Green | Chennai | Laptop
1 | Red | Hyderabad | Phone

box-puzzle, multi-attribute, stacking, hard, cat, banking

Question 20

A company's five sales representatives each recorded distinct monthly sales. Use the clues to analyze: - Aarav sold more units than Qadir. - The highest sale was in Sep. - Xavier 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
--- | --- | ---
Aarav | Feb | 272
Qadir | May | 261
Xavier | Sep | 401
Omar | Apr | 296
Eshan | Jan | 239
Identify the maximum sales row to answer the query.
Verification:
- Aarav sold more units than Qadir.
- The highest sale was in Sep.
- Xavier sold fewer units than Omar.

spreadsheet, real-world, sales, medium, months

Data Arrangement - Beginner Level: pattern ordering BEGINNER

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