Data Arrangement - Beginner-Intermediate Level: logical sorting BEGINNER-INTERMEDIATE

Strategic fast track practice for data arrangement: 20 beginner-intermediate-level problems. Worksheet 9 of 30 - Focus: logical sorting. Develop expertise in information sorting, logical arrangement, pattern ordering with step-by-step solutions. Ideal for developing learners targeting building on fundamentals with moderate challenges.

📝 Worksheet 9 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner-intermediate level

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Worksheet 9 of 30 (30% complete)

Question 1

Five persons have distinct heights. Use the clues to determine their relative heights: - Priya is taller than Tara. - Cyrus is shorter than Wafa but taller than Sahil. - Tara is not the tallest. Question: Who is the tallest among them?
Ordering by Comparative Statements
Heights ascending: Sahil(157cm) < Cyrus(165cm) < Wafa(177cm) < Tara(180cm) < Priya(183cm)
Place by pairwise comparisons; confirm unique top and bottom.
Verification:
- Priya is taller than Tara.
- Cyrus is shorter than Wafa but taller than Sahil.
- Tara is not the tallest.

Question 2

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 Pune. 3. There are exactly 1 boxes between the Purple box and the Green box. 4. The box from Delhi is kept immediately below the box containing the Phone. 5. The Orange box is kept on an even-numbered floor but not on the 2nd floor. 6. The box containing Phone is not kept on the topmost or bottommost floor. Question: What is the color of the box on floor 5?
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 | Mumbai | Book
6 | Brown | Delhi | Phone
5 | Green | Chennai | Charger
4 | Blue | Hyderabad | Pen
3 | Purple | Bengaluru | Bottle
2 | Orange | Kolkata | Laptop
1 | Pink | Pune | Watch

Question 3

Six people scored distinct marks. Use the clues to rank them from highest to lowest: - Sahil scored more than Wafa. - Kaira scored less than Cyrus but more than Nihal. - Omar scored the least. Question: Who is ranked third by score (1st = highest)?
Inequality Chain
From highest to lowest: Sahil(score=90) > Cyrus(score=81) > Wafa(score=72) > Kaira(score=69) > Nihal(score=68) > Omar(score=62)
Use pairwise comparisons to place each person in descending order.
Verification:
- Sahil scored more than Wafa.
- Kaira scored less than Cyrus but more than Nihal.
- Omar scored the least.

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 Uma 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 Uma and Sahil?
Incomplete Information Strategy: Fixed Vacancy
The constraint on the vacant seat's relative position fixes it immediately.
Final arrangement (Seats 1-9): 1: Uma; 2: Eshan; 3: Omar; 4: Xavier; 5: Gaurav; 6: Qadir; 7: Diya; 8: Sahil; 9: Empty
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.

Question 5

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

Question 6

Six people scored distinct marks. Use the clues to rank them from highest to lowest: - Priya scored more than Vihaan. - Cyrus scored less than Yash but more than Bhavya. - Omar scored the least. Question: Who is ranked third by score (1st = highest)?
Inequality Chain
From highest to lowest: Priya(score=91) > Yash(score=83) > Vihaan(score=79) > Cyrus(score=75) > Bhavya(score=70) > Omar(score=61)
Use pairwise comparisons to place each person in descending order.
Verification:
- Priya scored more than Vihaan.
- Cyrus scored less than Yash but more than Bhavya.
- Omar scored the least.

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

Question 8

Six people scored distinct marks. Use the clues to rank them from highest to lowest: - Kaira scored more than Ira. - Zoya scored less than Qadir but more than Rhea. - Diya scored the least. Question: Who is ranked third by score (1st = highest)?
Inequality Chain
From highest to lowest: Kaira(score=96) > Qadir(score=85) > Ira(score=82) > Zoya(score=79) > Rhea(score=77) > Diya(score=66)
Use pairwise comparisons to place each person in descending order.
Verification:
- Kaira scored more than Ira.
- Zoya scored less than Qadir but more than Rhea.
- Diya scored the least.

Question 9

Six people scored distinct marks. Use the clues to rank them from highest to lowest: - Priya scored more than Rhea. - Yash scored less than Vihaan but more than Aarav. - Kaira scored the least. Question: Who is ranked third by score (1st = highest)?
Inequality Chain
From highest to lowest: Priya(score=93) > Vihaan(score=92) > Rhea(score=69) > Yash(score=65) > Aarav(score=64) > Kaira(score=62)
Use pairwise comparisons to place each person in descending order.
Verification:
- Priya scored more than Rhea.
- Yash scored less than Vihaan but more than Aarav.
- Kaira scored the least.

Question 10

Five talks are scheduled on distinct days of a week (Mon–Sun). Use the clues: - Zoya's talk is earlier than Diya's. - Priya's talk is neither first nor last. - Yash's talk is before Aarav'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: Monday:Zoya, Tuesday:Yash, Thursday:Priya, Saturday:Aarav, Sunday:Diya
Use inequalities to form partial orders and then linearize.
Verification:
- Zoya's talk is earlier than Diya's.
- Priya's talk is neither first nor last.
- Yash's talk is before Aarav's.

Question 11

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 Wafa and Tara clockwise starting from Wafa?
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): Kaira -> Diya -> Eshan -> Gaurav -> Zoya -> Priya -> Wafa -> Tara
Verification:
- Corners and middles alternate.
- Counting excludes the starting and ending persons.
- Computed count matches traversal.

Question 12

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 White or Science. - The one who likes Green prefers English. - Hina prefers History. - Jatin does not prefer Chemistry. - The Yellow-lover is not Laksh. 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 âś“.
Process:
- Zoya does not like White or Science.
- The one who likes Green prefers English.
- Hina prefers History.
- Jatin does not prefer Chemistry.
- The Yellow-lover is not Laksh.
After consistent deductions and elimination, the unique mapping is:
Person | Color | Subject
--- | --- | ---
Zoya | Green | Chemistry
Jatin | White | English
Hina | Yellow | Science
Laksh | Blue | History
Uma | Purple | Art
Verification:
- Each color and subject used exactly once.
- All negative clues respected.
- Direct clues align with assignments.

Question 13

A company's five sales representatives each recorded distinct monthly sales. Use the clues to analyze: - Vihaan sold more units than Qadir. - The highest sale was in Apr. - Yash sold fewer units than Hina. Question: Who recorded the highest sales?
Spreadsheet Reasoning
Create a table of (Rep, Month, Sales) and use inequality clues to rank.
Rep | Month | Sales
--- | --- | ---
Vihaan | Apr | 493
Qadir | Jun | 195
Yash | Sep | 174
Hina | Mar | 203
Priya | Feb | 453
Identify the maximum sales row to answer the query.
Verification:
- Vihaan sold more units than Qadir.
- The highest sale was in Apr.
- Yash sold fewer units than Hina.

Question 14

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

Question 15

Eight boxes are stacked on 8 different floors (Floor 8 is the top). Conditions: - Box Pink is kept on the topmost floor (8). - There are exactly four boxes between Box White and Box Brown. - Box Blue is kept immediately below Box Brown. - Box Red 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 Red and Box Blue?
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: Pink; 7: White; 6: Red; 5: Green; 4: Yellow; 3: Brown; 2: Blue; 1: Black
Verification: Box Red is on F6 and Box Blue is on F2. The boxes between are on F5, F4, F3 (3 boxes).

Question 16

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 Blue in color. 2. The box on the bottom floor (1st floor) is from Pune. 3. There are exactly 2 boxes between the Orange box and the Brown box. 4. The box from Delhi is kept immediately below the box containing the Charger. 5. The Orange 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: On which floor is the Purple 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 | Blue | Chennai | Pen
6 | Yellow | Mumbai | Phone
5 | Brown | Kolkata | Bottle
4 | White | Bengaluru | Book
3 | Black | Delhi | Charger
2 | Orange | Hyderabad | Watch
1 | Purple | Pune | Laptop

Question 17

Five talks are scheduled on distinct days of a week (Mon–Sun). Use the clues: - Wafa's talk is earlier than Aarav's. - Fatima's talk is neither first nor last. - Mira's talk is before Gaurav's. Question: Who gives the talk on Friday?
Sequential Timeline
Order days as Monday→Sunday. Map constraints: 'earlier than', 'before', 'neither first nor last'.
Valid schedule: Tuesday:Wafa, Thursday:Mira, Friday:Fatima, Saturday:Gaurav, Sunday:Aarav
Use inequalities to form partial orders and then linearize.
Verification:
- Wafa's talk is earlier than Aarav's.
- Fatima's talk is neither first nor last.
- Mira's talk is before Gaurav's.

Question 18

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

Question 19

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 Ira 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 Ira and Wafa?
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: Ira; 3: Kaira; 4: Empty; 5: Wafa; 6: Laksh; 7: Eshan; 8: Jatin; 9: Zoya
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.

Question 20

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