Circular Seating Arrangement Questions and Answers

Answer: D

Correct answer: two or three

Facing the centre, each person’s left is the next seat clockwise and their right the next seat anticlockwise. Fix S; P sits two to S’s left, M three beyond P and T three to S’s left. Of the three seats left, Q must take the one that does not touch S and N the one that does not touch M, leaving R the last. Clockwise the circle reads S → N → P → T → Q → M → R.

Q and S are not opposite, so the two arcs between them are of different lengths: going one way past M and R gives two people, going the other past T, P and N gives three. Since the question does not say which way round to count, both answers stand.

Answer: E

Correct answer: None of these

Facing the centre, each person’s left is the next seat clockwise and their right the next seat anticlockwise. Fix S; P sits two to S’s left, M three beyond P and T three to S’s left. Of the three seats left, Q must take the one that does not touch S and N the one that does not touch M, leaving R the last. Clockwise the circle reads S → N → P → T → Q → M → R.

T and M have exactly one seat between them, and Q occupies it. Q alone is not among the choices offered, so the answer is none of these.

Answer: B

Correct answer: C

Facing the centre, each person’s left is the next seat clockwise and their right the next seat anticlockwise. Fix F; A sits two to F’s left, C three to F’s right, B two beyond C and H four to B’s left - one chain filling five seats. D two seats to G’s right then fits the remaining three in only one way. Clockwise the circle reads F → E → A → H → D → C → G → B.

D’s left is the next seat clockwise, and C occupies it. H is on D’s right.

Answer: A

Correct answer: B

Facing the centre, each person’s left is the next seat clockwise and their right the next seat anticlockwise. Fix F; A sits two to F’s left, C three to F’s right, B two beyond C and H four to B’s left - one chain filling five seats. D two seats to G’s right then fits the remaining three in only one way. Clockwise the circle reads F → E → A → H → D → C → G → B.

Counting two seats to E’s right - anticlockwise - gives F and then B.

Answer: E

Correct answer: None of these

Facing the centre, each person’s left is the next seat clockwise and their right the next seat anticlockwise. Fix F; A sits two to F’s left, C three to F’s right, B two beyond C and H four to B’s left - one chain filling five seats. D two seats to G’s right then fits the remaining three in only one way. Clockwise the circle reads F → E → A → H → D → C → G → B.

Counting three seats to B’s left - clockwise - gives F, E and then A. A is not among the choices offered, so the answer is none of these; the arrangement itself is fully determined.

Answer: D

Correct answer: Fourth to the right

Facing the centre, each person’s left is the next seat clockwise and their right the next seat anticlockwise. Fix F; A sits two to F’s left, C three to F’s right, B two beyond C and H four to B’s left - one chain filling five seats. D two seats to G’s right then fits the remaining three in only one way. Clockwise the circle reads F → E → A → H → D → C → G → B.

Counting four seats to A’s right - anticlockwise - gives E, F, B and then G. Four seats to A’s left reach the same seat, since the circle holds eight, but of the descriptions offered only fourth to the right appears.

Answer: C

Correct answer: DAH

Facing the centre, each person’s left is the next seat clockwise and their right the next seat anticlockwise. Fix F; A sits two to F’s left, C three to F’s right, B two beyond C and H four to B’s left - one chain filling five seats. D two seats to G’s right then fits the remaining three in only one way. Clockwise the circle reads F → E → A → H → D → C → G → B.

In DAH the third person named, H, sits directly between the other two, with A on one side and D on the other. In each of the remaining groups the third person is not between the first two.

Answer: E

Correct answer: None of these

Facing the centre, each person’s left is the next seat clockwise and their right the next seat anticlockwise. Fix P; T sits two to P’s left, V three beyond T, W on T’s right and S two beyond W. Q three seats to U’s right then fits the remaining three seats in only one way. Clockwise the circle reads P → W → T → Q → R → V → U → S.

Taking each group in turn: P sits between S and W, not between U and S; U between V and S, not between V and R; W between P and T, not between T and Q; and S between U and P, not between W and P. No group fits, so the answer is none of these.

Answer: A

Correct answer: Q

Facing the centre, each person’s left is the next seat clockwise and their right the next seat anticlockwise. Fix P; T sits two to P’s left, V three beyond T, W on T’s right and S two beyond W. Q three seats to U’s right then fits the remaining three seats in only one way. Clockwise the circle reads P → W → T → Q → R → V → U → S.

T’s left is the next seat clockwise, and Q occupies it. W is on T’s right, so there is no ambiguity.

Answer: C

Correct answer: U

Facing the centre, each person’s left is the next seat clockwise and their right the next seat anticlockwise. Fix P; T sits two to P’s left, V three beyond T, W on T’s right and S two beyond W. Q three seats to U’s right then fits the remaining three seats in only one way. Clockwise the circle reads P → W → T → Q → R → V → U → S.

Counting two seats to P’s right - anticlockwise - gives S and then U.