Circular Seating Arrangement Questions and Answers

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 C; G sits two to C’s right, B four to G’s left, F four to C’s right, K two to F’s right and A four to K’s right - a single chain that fills six of the nine seats. H three to E’s right then fits the remaining three seats in only one way, leaving D clear of both K and B. Clockwise the circle reads C → H → B → K → E → F → D → G → A.

Counting three seats to H’s right - anticlockwise - gives C, A and then G.

Answer: D

Correct answer: B

Facing the centre, each person’s left is the next seat clockwise and their right the next seat anticlockwise. Fix C; G sits two to C’s right, B four to G’s left, F four to C’s right, K two to F’s right and A four to K’s right - a single chain that fills six of the nine seats. H three to E’s right then fits the remaining three seats in only one way, leaving D clear of both K and B. Clockwise the circle reads C → H → B → K → E → F → D → G → A.

Counting four seats to D’s right - anticlockwise - gives F, E, K and then B.

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.

Answer: C

Correct answer: F

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.

Counting three seats to E’s right - anticlockwise - gives H, A and then F.

Answer: D

Correct answer: Third to the left

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.

Counting three seats to A’s left - clockwise - gives H, E and then G. Three seats the other way would reach C instead.

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 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.

E and A have exactly one seat between them, and it belongs to H. H is not among the choices offered, so the answer is none of these.

Answer: A

Correct answer: None

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.

Keeping A where she is and running the alphabet clockwise would put B, C, D, E, F, G, H in the seats after her. Comparing seat by seat with the original table - H, E, G, B, C, D, F - not one letter falls where it already sits, so none of the members would keep their place.

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.