Ten delegates — A, B, C, D, E, P, Q, R, S and T — attend a conference and are seated in two parallel rows of five chairs each, numbered 1 to 5 from left to right in each row. A, B, C, D and E sit in Row 1, facing north. P, Q, R, S and T sit in Row 2, facing south, such that the person at seat number k in Row 2 sits directly opposite (faces) the person at seat number k in Row 1, for each k = 1 to 5.
The following is known:
- B sits at the left end (seat 1) of Row 1.
- Exactly one person sits between B and A in Row 1.
- D sits immediately to the right of B in Row 1.
- C sits at the right end (seat 5) of Row 1.
- R sits at the left end (seat 1) of Row 2.
- S sits at the right end (seat 5) of Row 2.
- T sits immediately to the right of P in Row 2.
- Exactly one person sits between P and Q in Row 2.
The following is known:
- B sits at the left end (seat 1) of Row 1.
- Exactly one person sits between B and A in Row 1.
- D sits immediately to the right of B in Row 1.
- C sits at the right end (seat 5) of Row 1.
- R sits at the left end (seat 1) of Row 2.
- S sits at the right end (seat 5) of Row 2.
- T sits immediately to the right of P in Row 2.
- Exactly one person sits between P and Q in Row 2.
Question 1
Single correct option
Who sits at the third seat (from the left) in Row 1?
- A. D
- B. E
- C. A
- D. C
Show answer and solution
Answer: (C) A
B is at seat 1, D is immediately right of B so D is at seat 2. C is at seat 5. Exactly one person sits between B (seat 1) and A, so A must be at seat 3 (with D at seat 2 between them). The only remaining person, E, takes seat 4. So Row 1 = B, D, A, E, C — A sits at seat 3.
Question 2
Numerical answer
How many people sit between D and C in Row 1?
Show answer and solution
Answer: 2
Row 1 order (seats 1–5) is B, D, A, E, C. D is at seat 2 and C is at seat 5, so the people between them are at seats 3 and 4, i.e., A and E — 2 people.
Question 3
Single correct option
In Row 2, seats 2, 3 and 4 are occupied by P, Q and T in some order, given R is at seat 1 and S is at seat 5. Who occupies seat 3 of Row 2?
- A. P
- B. Q
- C. T
- D. S
Show answer and solution
Answer: (C) T
T sits immediately to the right of P, so (P,T) must be a consecutive pair among seats 2,3,4: either (P=2,T=3) or (P=3,T=4). Also exactly one person sits between P and Q. If P=2,T=3, then Q=4, and the person between P(2) and Q(4) is T(3) — exactly one, which satisfies the clue. If P=3,T=4, then Q=2, and P and Q are adjacent (seats 2,3) with nobody between them — this fails the clue. So P=2, T=3, Q=4. T sits at seat 3.
Question 4
Single correct option
Who sits directly opposite (faces) E?
- A. P
- B. Q
- C. T
- D. S
Show answer and solution
Answer: (B) Q
From the Row 1 solution, E is at seat 4. The person at seat 4 of Row 2 faces E. From the Row 2 solution (R,P,T,Q,S at seats 1–5), seat 4 is occupied by Q. So Q faces E.
Question 5
Single correct option
Who sits immediately to the left of Q in Row 2?
- A. R
- B. P
- C. T
- D. S
Show answer and solution
Answer: (C) T
Row 2 order (seats 1–5) is R, P, T, Q, S. Q is at seat 4, so the person immediately to its left (seat 3) is T.
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