Question 1

Four items—W, X, Y, and Z—have different prices. W is cheaper than X. Y is more expensive than Z. X is more expensive than Y. Z is cheaper than W. What is the correct order from cheapest to most expensive?

Accepted Answer

From the clues: W < X, Y > Z, X > Y, Z < W. Chaining: Z < W < X and Z < W and Y < X. From Z < W and W < X: Z < W < X. From Y > Z and X > Y: Z < Y < X. Combining: Z < W, Z < Y, W < X, Y < X. We need to compare W and Y. From X > Y and W < X, we cannot directly compare W and Y. However, from Z < W and Z < Y, and X > Y and W < X, the order is Z < W < Y < X or Z < Y < W < X. Testing: Z < W < Y < X satisfies all: W < X ✓, Y > Z ✓, X > Y ✓, Z < W ✓.

Question 2

Five people sit in a line: Priya, Qasim, Ravi, Sana, and Tina. Ravi sits exactly in the middle. Priya sits to the left of Ravi. Sana sits immediately to the right of Ravi. What is Tina's position from the left?

Accepted Answer

This question tests the ability to use multiple constraints simultaneously to determine exact positions in a linear arrangement.

Question 3

Four friends—Arun, Bhavna, Chitra, and Deepak—sit in a straight line facing North. Bhavna sits immediately to the right of Arun. Who sits to the left of Chitra?

Accepted Answer

This question tests basic linear arrangement with one positional constraint. Students must use the given constraint to deduce relative positions.

Question 4

Six employees—A, B, C, D, E, and F—have different salaries. A earns more than B. C earns less than D. B earns more than C. D earns less than A. E earns more than F. F earns more than A. Which employee earns the most?

Accepted Answer

From the clues: A > B, C < D, B > C, D < A, E > F, F > A. From F > A and A > B > C, we get F > A > B > C. From D < A and C < D, we get C < D < A. From E > F, we get E > F. Therefore, E > F > A > B > C and E > F > A > D. E earns the most.

Question 5

Five runners—P, Q, R, S, and T—finished a race with different timings. P was faster than Q. R was slower than S. Q was faster than R. S was faster than P. T was slower than Q. Who finished first (fastest)?

Accepted Answer

From the clues: P > Q (in speed), R < S, Q > R, S > P, T < Q. Chaining: S > P > Q > R and S > P and Q > T. From S > P > Q > R, we get S > P > Q > R. From Q > T, we get Q > T. Combining: S > P > Q > R and S > P > Q > T. S is the fastest.

Question 6

Five boxes are stacked with the following conditions: Box P is directly above Box Q. Box R is at the top. Box S is at the bottom. Box T is directly above Box S. Which box is in the middle (3rd position)?

Accepted Answer

From the clues: Box S at position 1 (bottom). Box T directly above Box S → position 2. Box R at position 5 (top). Box P directly above Box Q → they are consecutive. Remaining positions: 3 and 4 for boxes P and Q. Since P is directly above Q, Q is at position 3 and P is at position 4. Therefore, Box Q is in the middle.

Question 7

Six boxes labeled 1, 2, 3, 4, 5, and 6 are arranged in a stack. Box 4 is directly above Box 1. Box 5 is directly below Box 3. Box 2 is at the bottom. Box 6 is at the top. Box 5 is directly above Box 2. What is the position of Box 4 from the bottom?

Accepted Answer

From the clues: Box 2 at position 1 (bottom). Box 5 directly above Box 2 → position 2. Box 3 directly above Box 5 → position 3. Box 6 at position 6 (top). Box 4 directly above Box 1 → they are consecutive. Remaining positions: 4 and 5 for boxes 1 and 4. Since 4 is directly above 1, Box 1 is at position 4 and Box 4 is at position 5.

Question 8

Six boxes are arranged in a stack. Box 2 is directly below Box 5. Box 4 is at the top. Box 1 is at the bottom. Box 3 is directly above Box 1. Box 6 is directly below Box 4. What is the position of Box 2 from the bottom?

Accepted Answer

Arranging from bottom to top: Position 1 (bottom) = Box 1. Position 2 = Box 3 (directly above Box 1). Position 3 = Box 2 (directly below Box 5). Position 4 = Box 5 (directly above Box 2). Position 5 = Box 6 (directly below Box 4). Position 6 (top) = Box 4. Box 2 is at position 3 from the bottom.

Question 9

Four colored boxes are stacked. The Red box is not at the bottom. The Blue box is directly above the Green box. The Yellow box is at the bottom. The Red box is above the Blue box. Which box is second from the bottom?

Accepted Answer

From the clues: Yellow is at the bottom (position 1). Blue is directly above Green, so they are consecutive. Red is above Blue. This means Green must be at position 2, Blue at position 3, and Red at position 4. Therefore, Green is second from the bottom.

Question 10

Three students—Priya, Qasim, and Ravi—scored different marks in an exam. Priya scored more than Qasim. Ravi scored less than Priya. Qasim scored more than Ravi. Who scored the least?

Accepted Answer

From the clues: Priya > Qasim, Ravi < Priya, Qasim > Ravi. Chaining: Priya > Qasim > Ravi. Therefore, Ravi scored the least.

Question 11

Seven boxes numbered 1 through 7 are stacked vertically. Box 3 is directly below Box 6. Box 1 is at the bottom. Box 5 is directly above Box 2. Box 4 is directly below Box 7. Box 2 is at position 3 from the bottom. What is the position of Box 6 from the bottom?

Accepted Answer

From the clues: Box 1 at position 1 (bottom). Box 2 at position 3. Box 5 directly above Box 2 → Box 5 at position 4. Box 3 directly below Box 6 → they are consecutive. Box 4 directly below Box 7 → they are consecutive. Remaining positions: 2, 5, 6, 7. Box 3 and Box 6 are consecutive; Box 4 and Box 7 are consecutive. Arrangement: 1 (pos 1), 3 (pos 2), 2 (pos 3), 5 (pos 4), 4 (pos 5), 7 (pos 6), 6 (pos 7). Box 6 is at position 7.

Question 12

Five boxes labeled A, B, C, D, and E are stacked vertically. Box C is immediately above Box B. Box A is at the bottom. Box E is above Box D. Box D is above Box C. Which box is at the top of the stack?

Accepted Answer

By arranging the boxes according to the given constraints: A is at the bottom (position 1). C is immediately above B, so B and C are consecutive. D is above C. E is above D. This gives us: A (bottom) → B → C → D → E (top).

Question 13

Four friends—Arun, Bhavna, Chetan, and Divya—sit around a circular table. Arun sits immediately to the right of Bhavna. Chetan sits immediately to the right of Arun. Who sits immediately to the right of Divya?

Accepted Answer

In a circular arrangement of 4 people, if Arun is to the right of Bhavna, and Chetan is to the right of Arun, then the order clockwise is: Bhavna → Arun → Chetan → Divya → (back to Bhavna). Therefore, Bhavna sits immediately to the right of Divya.

Question 14

Five colleagues—Priya, Qasim, Ravi, Sana, and Tarun—sit around a circular conference table. Ravi sits two seats to the right of Priya. Sana sits immediately to the left of Priya. Who sits immediately to the right of Tarun?

Accepted Answer

With 5 people in a circle, if Sana is immediately left of Priya, and Ravi is two seats right of Priya, the clockwise order is: Sana → Priya → Qasim → Ravi → Tarun → (back to Sana). Therefore, Sana sits immediately to the right of Tarun.

Question 15

Seven friends sit around a circular table. Vikram sits immediately to the right of Usha. Wanda sits immediately to the right of Vikram. Xander sits immediately to the left of Usha. Yuki sits immediately to the left of Xander. Zara and Arjun are the remaining two. Who sits immediately to the right of Yuki?

Accepted Answer

The constraint chain is: Yuki → Xander → Usha → Vikram → Wanda. In a 7-person circle, Zara and Arjun fill the remaining positions. Tracing the chain: Yuki is at position 1, Xander at 2, Usha at 3, Vikram at 4, Wanda at 5. Positions 6 and 7 are Zara and Arjun. The person immediately right of Yuki is Xander.

Question 16

Four colleagues—Meera, Naveen, Olivia, and Prem—sit around a circular table. Naveen sits immediately to the right of Meera. Olivia sits immediately to the right of Naveen. Which of the following is definitely true?

Accepted Answer

With 4 people and the constraints Naveen right of Meera and Olivia right of Naveen, the clockwise order is: Meera → Naveen → Olivia → Prem → (back to Meera). Therefore, Prem sits immediately to the right of Olivia, and Meera sits immediately to the right of Prem.

Question 17

Five people—Ajay, Bhavesh, Chirag, Disha, and Eshaan—sit around a circular table. Chirag sits immediately to the right of Ajay. Disha sits immediately to the right of Chirag. Eshaan sits immediately to the left of Ajay. Who sits immediately to the left of Chirag?

Accepted Answer

The constraint chain is: Eshaan → Ajay → Chirag → Disha. In a 5-person circle, Bhavesh occupies the remaining position. The clockwise order is: Eshaan → Ajay → Chirag → Disha → Bhavesh → (back to Eshaan). The person immediately left of Chirag is Ajay.

Question 18

Five friends—Arun, Bhavna, Chetan, Deepa, and Eira—are sitting in a row. Arun is heavier than Bhavna. Chetan is lighter than Deepa. Bhavna is heavier than Chetan. Deepa is lighter than Arun. Who is the heaviest among them?

Accepted Answer

From the clues: Arun > Bhavna, Chetan < Deepa, Bhavna > Chetan, Deepa < Arun. Combining: Arun > Bhavna > Chetan and Arun > Deepa. Since Deepa > Chetan but Arun > Deepa, we get Arun > Deepa > Chetan and Arun > Bhavna > Chetan. Comparing Bhavna and Deepa: no direct link, but Arun is heavier than both. The chain is Arun > Bhavna and Arun > Deepa, making Arun the heaviest.

Question 19

Four boxes—P, Q, R, and S—contain different numbers of items. Box P has fewer items than Box Q. Box R has more items than Box S. Box Q has more items than Box R. If Box S has 10 items, and Box R has 15 items, how many items does Box Q have at minimum?

Accepted Answer

From the clues: P < Q, R > S, Q > R. Given: S = 10, R = 15. From Q > R and R = 15, we get Q > 15. The minimum value for Q is 16 items.

Question 20

Four colleagues—Maya, Naveen, Olivia, and Prem—sit in a row. Olivia sits third from the left. Prem sits to the immediate left of Olivia. Which position is Maya in if Naveen is not at either end?

Accepted Answer

This question tests constraint satisfaction with a negation condition (Naveen is NOT at either end), requiring students to eliminate impossible positions.

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