Circular Seating Arrangement Questions and Answers

Answer: E

Correct answer: Fourth to the left

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

Counting four seats to B’s left - clockwise - gives C, D, G and then H. In a circle of eight, four seats the other way reach the same person, so H is equally fourth to B’s right - but of the descriptions offered only fourth to the left appears.

Answer: A

Correct answer: H

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

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

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.

Answer: B

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 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.

E sits three seats clockwise of B, which is three seats to B’s left: G, F, then E. Counting three to B’s right instead - anticlockwise - would reach H, D and A. In a circle of nine the two counts do not meet, so the direction matters: E is third to B’s left (equivalently sixth to her 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; 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 three seats to K’s right - anticlockwise - gives E, F and then G.

Answer: B

Correct answer: G

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.

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

Answer: E

Correct answer: EGF

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.

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

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.