Data Arrangement Worksheet 20 - Intermediate-Advanced Level (data sequencing) | 20 Questions

Question 1

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

Logical Flow:
1. Uma is at position 4 (even position).
2. Distance between Uma and Laksh is exactly 3 seats → Laksh at position 1.
3. Nihal cannot be at position 1 or 8 → Nihal at position 6.
4. Qadir is fixed at position 2.
Arrangement: Position 1: Laksh; Position 2: Qadir; Position 3: Priya; Position 4: Uma; Position 5: Omar; Position 6: Nihal; Position 7: Sahil; Position 8: Hina

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

Question 2

Six tasks T1–T6 have distinct priorities from 1 (highest) to 6 (lowest). Use the clues: - T4 has higher priority than T2. - T3 is the least urgent. - T5's priority is between T4 and T1. 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) > T5(prio=2) > T2(prio=3) > T1(prio=4) > T6(prio=5) > T3(prio=6)
From clues, derive inequalities and place tasks accordingly.
Verification:
- T4 has higher priority than T2.
- T3 is the least urgent.
- T5's priority is between T4 and T1.

sequential, priority, inequalities, medium, chain

Question 3

A company's five sales representatives each recorded distinct monthly sales. Use the clues to analyze: - Nihal sold more units than Hina. - The highest sale was in Oct. - Zoya sold fewer units than Jatin. Question: Who recorded the highest sales?

Spreadsheet Reasoning
Create a table of (Rep, Month, Sales) and use inequality clues to rank.
Rep | Month | Sales
--- | --- | ---
Nihal | Dec | 371
Hina | Apr | 125
Zoya | Jul | 415
Jatin | Oct | 436
Mira | Jun | 200
Identify the maximum sales row to answer the query.
Verification:
- Nihal sold more units than Hina.
- The highest sale was in Oct.
- Zoya sold fewer units than Jatin.

spreadsheet, real-world, sales, medium, months

Question 4

Six persons have distinct preferences across Brand, Sport, and Vehicle. Using the clues, determine the complete mapping and answer: - Cyrus does not prefer Iota or Athletics. - The one who prefers Zeta drives Van. - Yash plays Badminton, and the one who drives Metro prefers Epsilon. - Neither Kaira nor Zoya prefers Eta. - The Tennis player does not drive Car. - If someone prefers Theta, then they do not play Cricket. 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.
- Cyrus does not prefer Iota or Athletics.
- The one who prefers Zeta drives Van.
- Yash plays Badminton, and the one who drives Metro prefers Epsilon.
- Neither Kaira nor Zoya prefers Eta.
- The Tennis player does not drive Car.
- If someone prefers Theta, then they do not play Cricket.
Continue elimination until each row has a unique triplet.
Verified final mapping:
Person | Brand | Sport | Vehicle
--- | --- | --- | ---
Cyrus | Zeta | Tennis | Bike
Diya | Iota | Cricket | Metro
Yash | Eta | Athletics | Car
Kaira | Theta | Hockey | Van
Zoya | Kappa | Badminton | Ship
Aarav | Epsilon | Football | Train
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 5

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

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 Chemistry. - Gaurav did not take 51 minutes and is not ranked 4. - The fastest finisher attempted History. - The one ranked 3 took more time than Cyrus. 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
--- | --- | --- | ---
Vihaan | 1 | 43 | Physics
Tara | 2 | 41 | Chemistry
Gaurav | 3 | 51 | Math
Eshan | 4 | 37 | History
Cyrus | 5 | 70 | Science
Integrate constraints across dimensions and validate uniqueness.
Verification:
- The student ranked 1 finished earlier than the one who attempted Chemistry.
- Gaurav did not take 51 minutes and is not ranked 4.
- The fastest finisher attempted History.
- The one ranked 3 took more time than Cyrus.

integration, rank, time, subject, hard, olympiad

Question 7

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 Computer. - Hina did not take 74 minutes and is not ranked 4. - The fastest finisher attempted History. - The one ranked 3 took more time than Yash. 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
--- | --- | --- | ---
Uma | 1 | 71 | Math
Aarav | 2 | 31 | Computer
Hina | 3 | 74 | Chemistry
Gaurav | 4 | 32 | History
Yash | 5 | 45 | Geography
Integrate constraints across dimensions and validate uniqueness.
Verification:
- The student ranked 1 finished earlier than the one who attempted Computer.
- Hina did not take 74 minutes and is not ranked 4.
- The fastest finisher attempted History.
- The one ranked 3 took more time than Yash.

integration, rank, time, subject, hard, olympiad

Question 8

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

Spreadsheet Reasoning
Create a table of (Rep, Month, Sales) and use inequality clues to rank.
Rep | Month | Sales
--- | --- | ---
Mira | Jul | 161
Wafa | Feb | 396
Vihaan | Jan | 280
Fatima | Mar | 163
Zoya | Aug | 484
Identify the maximum sales row to answer the query.
Verification:
- Mira sold more units than Wafa.
- The highest sale was in Aug.
- Vihaan sold fewer units than Fatima.

spreadsheet, real-world, sales, medium, months

Question 9

Eight people Priya, Diya, Laksh, Eshan, Omar, Bhavya, Yash, Hina sit in a row facing north. Clues: - Diya sits at an even-numbered position (2, 4, 6, or 8). - There are exactly two persons between Diya and Eshan. - Priya does not sit at any extreme end. - Bhavya sits at position 2. Question: How many persons sit between Omar and Diya?

Logical Flow:
1. Diya is at position 8 (even position).
2. Distance between Diya and Eshan is exactly 3 seats → Eshan at position 5.
3. Priya cannot be at position 1 or 8 → Priya at position 6.
4. Bhavya is fixed at position 2.
Arrangement: Position 1: Hina; Position 2: Bhavya; Position 3: Yash; Position 4: Omar; Position 5: Eshan; Position 6: Priya; Position 7: Laksh; Position 8: Diya

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

Question 10

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

Ordering by Comparative Statements
Heights ascending: Nihal(150cm) < Tara(154cm) < Omar(159cm) < Yash(165cm) < Eshan(172cm)
Place by pairwise comparisons; confirm unique top and bottom.
Verification:
- Eshan is taller than Yash.
- Tara is shorter than Omar but taller than Nihal.
- Yash is not the tallest.

ordering, size, heights, easy, comparatives

Question 11

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 Xavier who likes Pink. - Wafa sits opposite Rhea on the grid edges. - Vihaan is at a corner and does not like White. - Fatima is adjacent to Xavier. 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
--- | --- | ---
Jatin/Orange | Wafa/Red | Vihaan/Yellow
Gaurav/Brown | Xavier/Pink | Fatima/Green
Bhavya/Purple | Rhea/White | Omar/Black
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 12

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

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

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

Question 13

Seven persons sit in a row facing north. Use the conditions: - Gaurav sits at the leftmost end. - Omar sits at the rightmost end. - If Gaurav sits to the left of Yash, then Sahil must be at an extreme end. - If Fatima is adjacent to Mira, then Diya does not sit at position 4. - Omar 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: Gaurav; Position 2: Yash; Position 3: Sahil; Position 4: Fatima; Position 5: Mira; Position 6: Diya; Position 7: Omar
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 14

Eight people Wafa, Cyrus, Jatin, Aarav, Diya, Rhea, Omar, Gaurav 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 Jatin. - Cyrus does not sit at any extreme end. - Diya sits at position 1. Question: At which position from the left does Jatin sit?

Logical Flow:
1. Gaurav is at position 4 (even position).
2. Distance between Gaurav and Jatin is exactly 3 seats → Jatin at position 7.
3. Cyrus cannot be at position 1 or 8 → Cyrus at position 5.
4. Diya is fixed at position 1.
Arrangement: Position 1: Diya; Position 2: Rhea; Position 3: Omar; Position 4: Gaurav; Position 5: Cyrus; Position 6: Wafa; Position 7: Jatin; Position 8: Aarav

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

Question 15

Five talks are scheduled on distinct days of a week (Mon–Sun). Use the clues: - Xavier's talk is earlier than Yash's. - Ira's talk is neither first nor last. - Aarav's talk is before Omar's. Question: Who gives the talk on Sunday?

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

sequential, time, days, easy, before-after

Question 16

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 Geography. - Xavier did not take 64 minutes and is not ranked 4. - The fastest finisher attempted Science. - The one ranked 3 took more time than Cyrus. 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
--- | --- | --- | ---
Diya | 1 | 79 | Math
Priya | 2 | 38 | Geography
Xavier | 3 | 64 | Computer
Qadir | 4 | 80 | Science
Cyrus | 5 | 35 | History
Integrate constraints across dimensions and validate uniqueness.
Verification:
- The student ranked 1 finished earlier than the one who attempted Geography.
- Xavier did not take 64 minutes and is not ranked 4.
- The fastest finisher attempted Science.
- The one ranked 3 took more time than Cyrus.

integration, rank, time, subject, hard, olympiad

Question 17

Five persons each like a distinct color and prefer a distinct subject. Use the clues to complete the table and answer: - Bhavya does not like Black or English. - The one who likes Pink prefers Chemistry. - Jatin prefers Music. - Tara does not prefer Computer. - The White-lover is not Gaurav. Question: Who prefers the subject Music?

Table Method
Create a 5x3 table with Person vs (Color, Subject). Use exclusion clues to mark X, and direct clues to fill ✓.
Process:
- Bhavya does not like Black or English.
- The one who likes Pink prefers Chemistry.
- Jatin prefers Music.
- Tara does not prefer Computer.
- The White-lover is not Gaurav.
After consistent deductions and elimination, the unique mapping is:
Person | Color | Subject
--- | --- | ---
Bhavya | Pink | Computer
Tara | Black | Chemistry
Jatin | White | English
Gaurav | Purple | Music
Xavier | Brown | 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 18

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 Black. - Diya sits opposite Tara on the grid edges. - Xavier is at a corner and does not like White. - Uma is adjacent to Xavier. Question: In a 3x3 grid (rows and columns numbered 1 to 3), who occupies the cell at row 3, 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
--- | --- | ---
Hina/Brown | Diya/Yellow | Rhea/Green
Uma/Pink | Mira/Black | Omar/Blue
Xavier/Purple | Tara/White | Zoya/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 19

Six people sit in a row facing North. Conditions: - Rhea sits at the extreme right end (Position 6). - There are three people sitting between Cyrus and Priya. - Aarav sits third to the right of Priya. - Neither Xavier nor Mira sits at any extreme end. Question: Who is sitting at the immediate right of Aarav?

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: Priya, Xavier, Mira, Aarav, Cyrus, Rhea
- Case 2: Priya, Mira, Xavier, Aarav, Cyrus, Rhea
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 20

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 Chemistry. - Jatin did not take 35 minutes and is not ranked 4. - The fastest finisher attempted English. - The one ranked 3 took more time than Cyrus. 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 | 61 | History
Hina | 2 | 58 | Chemistry
Jatin | 3 | 35 | Science
Ira | 4 | 48 | English
Cyrus | 5 | 54 | Math
Integrate constraints across dimensions and validate uniqueness.
Verification:
- The student ranked 1 finished earlier than the one who attempted Chemistry.
- Jatin did not take 35 minutes and is not ranked 4.
- The fastest finisher attempted English.
- The one ranked 3 took more time than Cyrus.

integration, rank, time, subject, hard, olympiad

Data Arrangement - Intermediate-Advanced Level: data sequencing INTERMEDIATE-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