Circular Seating Arrangement Questions and Answers

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: D

Correct answer: FGD

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.

In FGD the third person named, D, sits directly between the other two, with F on one side and G on the other. In the remaining groups the third person is not between the first two.

Answer: A

Correct answer: A

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 E’s left - clockwise - gives F, D, G and then A.

Answer: B

Correct answer: H

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 two seats to K’s right - anticlockwise - gives B and then H. The arrangement is fully determined, so the data are not inadequate.

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: A

Correct answer: C

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

Counting four seats to G’s left - clockwise - gives F, E, K and then C. The arrangement is fully determined, so the data are not inadequate.