Circular Seating Arrangement Questions and Answers

Answer: B

Correct answer: E

Facing the centre, each person’s left is the next seat clockwise and their right the next seat anticlockwise. Fix B; F sits three to B’s left and H three to B’s right. A may touch neither F nor B, which leaves A only one seat, and C sits opposite her. G, with D two seats to G’s left, then fits in one way only, and E takes the last seat, clear of B as required. Clockwise the circle reads B → D → C → F → E → H → A → G.

H’s right is the next seat anticlockwise, and E occupies it. A is on H’s left.

Answer: D

Correct answer: CE

Facing the centre, each person’s left is the next seat clockwise and their right the next seat anticlockwise. Fix B; F sits three to B’s left and H three to B’s right. A may touch neither F nor B, which leaves A only one seat, and C sits opposite her. G, with D two seats to G’s left, then fits in one way only, and E takes the last seat, clear of B as required. Clockwise the circle reads B → D → C → F → E → H → A → G.

F sits with C on one side and E on the other, so those two are his neighbours. H and D are each two seats away.

Answer: E

Correct answer: CF

Facing the centre, each person’s left is the next seat clockwise and their right the next seat anticlockwise. Fix B; F sits three to B’s left and H three to B’s right. A may touch neither F nor B, which leaves A only one seat, and C sits opposite her. G, with D two seats to G’s left, then fits in one way only, and E takes the last seat, clear of B as required. Clockwise the circle reads B → D → C → F → E → H → A → G.

A person’s right is the seat anticlockwise from them. Of the pairs offered, only in CF does the first sit immediately to the second’s right: C occupies the seat on F’s right.

Answer: C

Correct answer: G

Facing the centre, each person’s left is the next seat clockwise and their right the next seat anticlockwise. Fix B; F sits three to B’s left and H three to B’s right. A may touch neither F nor B, which leaves A only one seat, and C sits opposite her. G, with D two seats to G’s left, then fits in one way only, and E takes the last seat, clear of B as required. Clockwise the circle reads B → D → C → F → E → H → A → G.

Counting three seats to E’s left - clockwise - gives H, A and then G.

Answer: E

Correct answer: DM

Facing the centre, each person’s left is the next seat clockwise and their right the next seat anticlockwise. Fix T; A sits two to T’s left, M three beyond A, H two to T’s right and D two to H’s right. Of the two ways of placing B with R two seats to B’s right, only one keeps B off T’s shoulder, and P takes the seat left over. Clockwise the circle reads T → R → A → B → D → M → H → P.

Going to B’s left is going clockwise: the first seat is D’s and the second M’s, so the pair asked for is DM in that order.

Answer: D

Correct answer: M

Facing the centre, each person’s left is the next seat clockwise and their right the next seat anticlockwise. Fix T; A sits two to T’s left, M three beyond A, H two to T’s right and D two to H’s right. Of the two ways of placing B with R two seats to B’s right, only one keeps B off T’s shoulder, and P takes the seat left over. Clockwise the circle reads T → R → A → B → D → M → H → P.

Counting three seats to T’s right - anticlockwise - gives P, H and then M.

Answer: A

Correct answer: P

Facing the centre, each person’s left is the next seat clockwise and their right the next seat anticlockwise. Fix T; A sits two to T’s left, M three beyond A, H two to T’s right and D two to H’s right. Of the two ways of placing B with R two seats to B’s right, only one keeps B off T’s shoulder, and P takes the seat left over. Clockwise the circle reads T → R → A → B → D → M → H → P.

H’s left is the next seat clockwise, and P occupies it. M is on H’s right. The arrangement is fully determined, so the data are not inadequate.

Answer: C

Correct answer: M

Facing the centre, each person’s left is the next seat clockwise and their right the next seat anticlockwise. Fix T; A sits two to T’s left, M three beyond A, H two to T’s right and D two to H’s right. Of the two ways of placing B with R two seats to B’s right, only one keeps B off T’s shoulder, and P takes the seat left over. Clockwise the circle reads T → R → A → B → D → M → H → P.

Counting two seats to B’s left - clockwise - gives D and then M.

Answer: B

Correct answer: DBM

Facing the centre, each person’s left is the next seat clockwise and their right the next seat anticlockwise. Fix T; A sits two to T’s left, M three beyond A, H two to T’s right and D two to H’s right. Of the two ways of placing B with R two seats to B’s right, only one keeps B off T’s shoulder, and P takes the seat left over. Clockwise the circle reads T → R → A → B → D → M → H → P.

In DBM the third person named, M, sits two seats clockwise of the second, B - that is, second to B’s left. Checking the other groups the same way, none of them satisfies the condition.

Answer: B

Correct answer: H, G

Facing the centre, each person’s left is the next seat clockwise and their right the next seat anticlockwise. Fix A; C sits three to A’s right and E two to A’s left. D, two seats to B’s right, has only one seat that keeps him clear of E; and of the two ways then to place F with H two to F’s left, only one keeps G off D’s shoulder. Clockwise the table reads A → H → E → G → B → C → D → F.

Going clockwise from H, the next seat is E’s and the one after that is G’s - exactly one person between them. F and G have three between them that way, H and C have three, and H and B have two.