Question 1

Six people—P, Q, R, S, T, U—sit in two parallel rows of 3 each. Row A faces East; Row B faces West. The following are true:
1. P sits in Row A, position 1 (leftmost from Row A's perspective).
2. Q sits directly opposite P.
3. R sits immediately to the right of P in Row A.
4. S sits immediately to the right of Q in Row B.
5. T sits at the rightmost position of Row B.

Who sits in position 3 of Row A?

Accepted Answer

This puzzle requires students to build a two-row seating chart while accounting for different facing directions (East vs. West) and using opposite-position relationships to verify placements.

Question 2

Seven boxes are stacked vertically. Box T is 3 positions below Box V. Box S is immediately above Box U. Box W is at position 7 (top). Box T is at position 2. Which box is at position 4?

Accepted Answer

Given: T at position 2, V is 3 positions above T (so V at position 5), S immediately above U, W at position 7. Remaining boxes: S, U, X for positions 1, 3, 4, 6. S-U consecutive: options are U(1)-S(2) [T is at 2, invalid], U(3)-S(4), U(4)-S(5) [V is at 5, invalid], U(6)-S(7) [W is at 7, invalid]. Only valid: U(3)-S(4). Remaining box X goes to position 1 or 6. Arrangement: X(1), T(2), U(3), S(4), V(5), ?(6), W(7). Position 6 must be the remaining box. Position 4 is S.

Question 3

Five friends—Arun, Bhavna, Chitra, Deepak, and Esha—are sitting in a row facing North. Bhavna is immediately to the right of Arun. Chitra is not at either end. Deepak is to the right of Esha. Esha is to the left of Arun. Who is sitting at the rightmost position?

Accepted Answer

Using the given constraints: Esha < Arun < Bhavna (consecutive). Chitra is not at either end. Deepak is to the right of Esha. Arranging: Esha, Arun, Bhavna, Chitra, Deepak satisfies all conditions. Deepak is at the rightmost position.

Question 4

Three friends—Aman, Bina, Chetan—have different ages. Aman is older than Bina. Chetan is younger than Aman. Bina is younger than Chetan. What is the correct age order from oldest to youngest?

Accepted Answer

From constraints: Aman > Bina, Chetan < Aman, Bina < Chetan. Combining: Bina < Chetan < Aman. The order from oldest to youngest is Aman, Chetan, Bina.

Question 5

Five people sit in a line. Priya sits third from the left. How many people sit to the right of Priya?

Accepted Answer

If Priya sits third from the left in a line of five people, the positions are: 1st, 2nd, 3rd (Priya), 4th, 5th. To the right of Priya (position 3) are positions 4 and 5, which means 2 people sit to the right of Priya.

Question 6

Seven people—A, B, C, D, E, F, and G—live in a building with 7 floors (1 being the lowest, 7 being the highest). Each person lives on a different floor. Based on the following clues, who lives on Floor 4?

1. A lives on an odd-numbered floor.
2. B lives immediately above C.
3. D lives on Floor 2.
4. E lives on Floor 6.
5. F lives on a floor higher than E.
6. G lives on Floor 1.
7. C lives on Floor 3.

Accepted Answer

From the clues: G is on Floor 1 (clue 6), D is on Floor 2 (clue 3), C is on Floor 3 (clue 7), B is immediately above C so B is on Floor 4 (clue 2), E is on Floor 6 (clue 4), F is higher than E so F is on Floor 7 (clue 5). This leaves A for Floor 5, which is odd-numbered (clue 1). Therefore, B lives on Floor 4.

Question 7

Five boxes—P, Q, R, S, and T—are stacked vertically on 5 shelves (Shelf 1 at bottom, Shelf 5 at top). Each box is on a different shelf. Using the clues below, which box is on Shelf 3?

1. R is not on Shelf 1.
2. Q is on Shelf 2.
3. P is on a shelf higher than Q.
4. S is on Shelf 5.
5. T is on Shelf 1.

Accepted Answer

From the clues: T is on Shelf 1 (clue 5), Q is on Shelf 2 (clue 2), S is on Shelf 5 (clue 4). P is higher than Q (Shelf 2), so P is on Shelf 3 or 4. R is not on Shelf 1 (clue 1). The remaining shelves are 3 and 4 for P and R. Since P must be higher than Q (Shelf 2), P can be on Shelf 3 or 4. R must fill the other. If P is on Shelf 3, R is on Shelf 4 (satisfying clue 1). Therefore, P is on Shelf 3.

Question 8

Five people—P, Q, R, S, and T—sit around a circular table facing the centre. Q sits third to the right of P. R sits immediately to the left of P. Who sits immediately to the right of T?

Accepted Answer

With 5 people in a circle, 'third to the right' means counting 3 positions clockwise. If R is immediately left of P, and Q is third to the right of P, then the arrangement clockwise is: P–T–S–Q–R (or starting from P: P, then 1st right is T, 2nd right is S, 3rd right is Q, and R is left of P). To the right of T is S.

Question 9

Six people—A, B, C, D, E, and F—sit around a circular table. A sits opposite D. B sits immediately to the right of A. C sits immediately to the left of A. E sits opposite B. Who sits immediately to the right of F?

Accepted Answer

In a 6-person circle, opposite means 3 positions away. A is at position 1, D at position 4 (opposite). B is right of A (position 2), C is left of A (position 6). E is opposite B, so E is at position 5. F fills the remaining position 3. To the right of F (position 3) is D (position 4).

Question 10

Four people—W, X, Y, and Z—sit around a circular table facing inward. X sits immediately to the right of W. Y sits immediately to the right of X. Which of the following is definitely true?

Accepted Answer

With 4 people and X right of W, Y right of X, the arrangement is W–X–Y–Z in clockwise order. Z must sit immediately to the right of Y (and immediately to the left of W). Therefore, Z sits immediately to the right of Y is definitely true.

Question 11

Four people—M, N, O, and P—sit around a circular table. M sits immediately to the left of N. O sits immediately to the left of M. Which of the following must be false?

Accepted Answer

O is left of M, M is left of N, so the clockwise order is N–O–M–P or equivalently O–M–N–P going around. P must sit immediately to the left of O (and immediately to the right of N). Therefore, 'P sits immediately to the right of O' is false; P sits to the left of O.

Question 12

Six people sit in a line. Ravi is 4th from the left. How many people sit between Ravi and the person at the rightmost position?

Accepted Answer

Total people = 6. Positions from left: 1st, 2nd, 3rd, 4th, 5th, 6th. Ravi is 4th from the left = position 4. Rightmost position = position 6. People between position 4 and position 6 are those at positions 5 (only one person). So, 1 person sits between Ravi and the rightmost person.

Question 13

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

Accepted Answer

Using the constraints: C is directly above A (A-C consecutive), E is at top (position 5), B is directly below D (B-D consecutive). Since E is at position 5, we have 4 remaining positions. A-C must be consecutive, B-D must be consecutive. If A is at position 1, C is at position 2. Then B-D must occupy positions 3-4. This gives: A(1), C(2), B(3), D(4), E(5). Therefore, A is at the bottom.

Question 14

Six boxes are arranged in a stack from bottom (position 1) to top (position 6). Box P is 2 positions above Box M. Box N is immediately above Box L. Box Q is at position 3. Box R is at position 1. Which box is at position 5?

Accepted Answer

Given: R at position 1, Q at position 3, P is 2 positions above M, N is immediately above L. Remaining boxes: M, N, L, P for positions 2, 4, 5, 6. If P is 2 positions above M: either M(2)-P(4) or M(4)-P(6). N is immediately above L: either L(2)-N(3) [but Q is at 3, invalid], L(4)-N(5), or L(5)-N(6). Testing M(4)-P(6) and L(4)-N(5): conflicts at position 4. Testing M(2)-P(4) and L(5)-N(6): R(1), M(2), Q(3), P(4), L(5), N(6). Position 5 is L.

Question 15

Eight boxes labeled 1 through 8 are stacked from bottom to top. Box 3 is immediately below Box 6. Box 5 is 2 positions above Box 2. Box 8 is at the top. Box 1 is at the bottom. Which box is at position 4?

Accepted Answer

Given: Box 1 at position 1 (bottom), Box 8 at position 8 (top), Box 3 immediately below Box 6 (consecutive), Box 5 is 2 positions above Box 2. Remaining boxes: 2, 3, 4, 5, 6, 7 for positions 2-7. Box 5 is 2 positions above Box 2: options are 2(2)-5(4), 2(3)-5(5), 2(4)-5(6), 2(5)-5(7). Box 3 immediately below Box 6: options are 3(2)-6(3), 3(3)-6(4), 3(4)-6(5), 3(5)-6(6), 3(6)-6(7). Testing 2(2)-5(4) and 3(3)-6(4): conflict at position 4. Testing 2(2)-5(4) and 3(5)-6(6): 1(1), 2(2), ?(3), 5(4), 3(5), 6(6), 7(7), 8(8). Position 3 is 4, position 7 is 7. Arrangement: 1, 2, 4, 5, 3, 6, 7, 8. Position 4 is 5.

Question 16

Five students—Priya, Qasim, Ravi, Sana, Tara—scored different marks. Priya scored more than Qasim. Ravi scored less than Sana. Qasim scored more than Ravi. Sana scored less than Priya. Tara scored more than Priya. Who scored the third-highest marks?

Accepted Answer

From constraints: Priya > Qasim, Ravi < Sana, Qasim > Ravi, Sana < Priya, Tara > Priya. Ordering: Ravi < Qasim < Sana < Priya < Tara. Sana scored the third-highest marks.

Question 17

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

Accepted Answer

In a circular arrangement with 4 people, if Arun is to the right of Bhavna and Chitra is to the left of Bhavna, then Bhavna is between Chitra and Arun. The only remaining position for Deepak is opposite Bhavna. Going clockwise from Deepak, the next person is Chitra.

Question 18

Eight people—A, B, C, D, E, F, G, H—sit in two parallel rows of 4 each, facing each other. Row 1 faces South; Row 2 faces North. The following conditions apply:
1. A sits in Row 1, position 2.
2. B sits directly opposite to A.
3. C sits to the immediate left of A in Row 1.
4. D sits to the immediate right of B in Row 2.
5. E sits at one end of Row 2.
6. F sits immediately to the right of E in Row 2.

Who sits in position 4 of Row 1?

Accepted Answer

This puzzle tests the ability to construct a parallel row arrangement by systematically placing people based on relative position clues. Students must track both rows simultaneously and use direct opposites to verify consistency.

Question 19

Four employees—Vikram, Wanda, Xavier, Yuki—have different salaries. Vikram earns more than Wanda. Xavier earns less than Yuki. Wanda earns more than Xavier. Vikram earns less than Yuki. Who earns the second-highest salary?

Accepted Answer

From constraints: Vikram > Wanda, Xavier < Yuki, Wanda > Xavier, Vikram < Yuki. Ordering: Xavier < Wanda < Vikram < Yuki. Vikram earns the second-highest salary.

Question 20

Seven boxes labeled A, B, C, D, E, F, and G are stacked in a single vertical stack from bottom to top. The following conditions must be satisfied:

1. Box C is exactly 2 positions above Box A.
2. Box E is immediately above Box B.
3. Box D is not at the top or bottom.
4. Box F is above Box D but below Box G.
5. Box G is at the top.
6. Box A is not at the bottom.

Which box is at position 4 (counting from bottom to top)?

Accepted Answer

This is a constraint-satisfaction stacking puzzle requiring systematic elimination and logical deduction to determine the unique arrangement.

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