Circular Seating Arrangement Questions and Answers

Answer: C

Correct answer: HB

Facing the centre, each person’s left is the next seat clockwise and their right the next seat anticlockwise. Fix D; F takes the seat on D’s right, and since F is three to A’s left, A is fixed too, as is G three to D’s left. B must sit beside G but not beside D; C may touch neither D nor A; and E may not touch D. Those three conditions leave only one filling. Clockwise the circle reads D → H → B → G → A → E → C → F.

Between G and D, counting the short way round, sit B and then H - the pair HB. The other side of the circle holds five people, so this is the pair the question means.

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 D; F takes the seat on D’s right, and since F is three to A’s left, A is fixed too, as is G three to D’s left. B must sit beside G but not beside D; C may touch neither D nor A; and E may not touch D. Those three conditions leave only one filling. Clockwise the circle reads D → H → B → G → A → E → C → F.

Keeping A where she is and running the alphabet clockwise puts B, C, D, E, F, G, H in the seats after her. Comparing with the original circle, every letter lands somewhere new except C, who already sits two seats clockwise of A and stays exactly where she was.

Answer: D

Correct answer: BG

Facing the centre, each person’s left is the next seat clockwise and their right the next seat anticlockwise. Fix D; F takes the seat on D’s right, and since F is three to A’s left, A is fixed too, as is G three to D’s left. B must sit beside G but not beside D; C may touch neither D nor A; and E may not touch D. Those three conditions leave only one filling. Clockwise the circle reads D → H → B → G → A → E → C → F.

In FH, GE, CD and EF the two people named have exactly one person sitting between them - D, A, F and C respectively. In BG the two sit side by side with nobody between, so that pair is the odd one out.

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 K, put P three seats to K’s right and D two to P’s right. Of the ways of placing W with T three seats to W’s right, only one keeps W away from D’s side, and M three to R’s left then falls into place. Clockwise the circle reads K → M → D → T → P → R → W.

Counting two seats to T’s right - anticlockwise - gives D and then M. The arrangement is fully determined, so the data are not inadequate.

Answer: D

Correct answer: KW

Facing the centre, each person’s left is the next seat clockwise and their right the next seat anticlockwise. Fix K, put P three seats to K’s right and D two to P’s right. Of the ways of placing W with T three seats to W’s right, only one keeps W away from D’s side, and M three to R’s left then falls into place. Clockwise the circle reads K → M → D → T → P → R → W.

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

Answer: A

Correct answer: W

Facing the centre, each person’s left is the next seat clockwise and their right the next seat anticlockwise. Fix K, put P three seats to K’s right and D two to P’s right. Of the ways of placing W with T three seats to W’s right, only one keeps W away from D’s side, and M three to R’s left then falls into place. Clockwise the circle reads K → M → D → T → P → R → W.

R’s left is the next seat clockwise, and W occupies it. P is on R’s right.

Answer: C

Correct answer: D

Facing the centre, each person’s left is the next seat clockwise and their right the next seat anticlockwise. Fix K, put P three seats to K’s right and D two to P’s right. Of the ways of placing W with T three seats to W’s right, only one keeps W away from D’s side, and M three to R’s left then falls into place. Clockwise the circle reads K → M → D → T → P → R → W.

M’s left is the next seat clockwise, which belongs to D. K is on M’s right.

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 K, put P three seats to K’s right and D two to P’s right. Of the ways of placing W with T three seats to W’s right, only one keeps W away from D’s side, and M three to R’s left then falls into place. Clockwise the circle reads K → M → D → T → P → R → W.

Three seats to D’s left - clockwise - gives T, P and then R. R is not among the choices, so the answer is none of these; the arrangement itself is fully determined.

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; W is three to P’s left and Q three to P’s right. Trying each seat for T with S two to T’s right, only one choice keeps T away from Q, and of the two ways of then placing R and V, only one keeps U away from both T and W. Clockwise the table reads P → T → R → W → V → Q → U → S.

Two seats to V’s left - clockwise - gives Q and then U.

Answer: A

Correct answer: S

Facing the centre, each person’s left is the next seat clockwise and their right the next seat anticlockwise. Fix P; W is three to P’s left and Q three to P’s right. Trying each seat for T with S two to T’s right, only one choice keeps T away from Q, and of the two ways of then placing R and V, only one keeps U away from both T and W. Clockwise the table reads P → T → R → W → V → Q → U → S.

U and P have exactly one seat between them, and S occupies it.