Directions: Study the following information carefully and answer the questions…

2024

Directions: Study the following information carefully and answer the questions given below: A, B, C, D, E, F, G, H and K are sitting around a circle facing the center, B is fourth to the left of G, who is second to the right of C. F is fourth to the right of C and is second to the left of K. A is fourth to the right of K. D is not an immediate neighbor of either K or B. H is third to the right of E. In which of the following combinations is the third person sitting between the first and the second persons?

  1. A.

    EKB

  2. B.

    CHB

  3. C.

    AGC

  4. D.

    FGD

Show answer & explanation

Correct answer: D

Concept: When everyone in a circular arrangement faces the centre, moving to a person's LEFT corresponds to the clockwise direction around the circle, and moving to their RIGHT corresponds to the anticlockwise direction. Reading each clue as a fixed clockwise/anticlockwise offset from a known seat fixes every position uniquely; the question then reduces to checking which named person occupies the middle seat among three consecutive seats.

Application: Number the seats 1–9 clockwise and fix the seats one clue at a time.

  1. Fix C at seat 1 (clockwise numbering).

  2. “G is second to the right of C” — right = anticlockwise, so from seat 1 move 2 seats anticlockwise: 1→9→8. G is at seat 8.

  3. “B is fourth to the left of G” — left = clockwise, so from seat 8 move 4 seats clockwise: 8→9→1→2→3. B is at seat 3.

  4. “F is fourth to the right of C” — from seat 1 move 4 seats anticlockwise: 1→9→8→7→6. F is at seat 6.

  5. “F is second to the left of K” means K is 2 seats anticlockwise from F: 6→5→4. K is at seat 4.

  6. “A is fourth to the right of K” — from seat 4 move 4 seats anticlockwise: 4→3→2→1→9. A is at seat 9.

  7. Seats 1, 3, 4, 6, 8, 9 are now taken (C, B, K, F, G, A); the three empty seats 2, 5, 7 must hold D, E and H. “H is third to the right of E” fixes E at seat 5 and H at seat 2 (5→4→3→2, three anticlockwise steps), leaving D at seat 7.

  8. Check: “D is not an immediate neighbor of either K or B” — seat 7's neighbours are 6 and 8 (F and G), not K (seat 4) or B (seat 3), so the placement is consistent.

Final clockwise order: C(1)–H(2)–B(3)–K(4)–E(5)–F(6)–D(7)–G(8)–A(9).

Cross-check: re-verify every original clue against this final arrangement.

  • B is fourth to the left of G: from G(8), 4 steps clockwise → 8→9→1→2→3 = B. Holds.

  • G is second to the right of C: from C(1), 2 steps anticlockwise → 1→9→8 = G. Holds.

  • F is fourth to the right of C: from C(1), 4 steps anticlockwise → 1→9→8→7→6 = F. Holds.

  • F is second to the left of K: from K(4), 2 steps clockwise → 4→5→6 = F. Holds.

  • A is fourth to the right of K: from K(4), 4 steps anticlockwise → 4→3→2→1→9 = A. Holds.

  • H is third to the right of E: from E(5), 3 steps anticlockwise → 5→4→3→2 = H. Holds.

  • D is not an immediate neighbor of K or B: D's neighbours (seat 7) are F(6) and G(8), not K or B. Holds.

Seat map:

Seat

1

2

3

4

5

6

7

8

9

Person

C

H

B

K

E

F

D

G

A

For each option, check whether the third-named person is the one sitting in the middle of the three consecutive seats occupied by that trio:

  • EKB — seats 5, 4, 3 hold E, K, B consecutively; the middle seat belongs to K, not the third-named B.

  • CHB — seats 1, 2, 3 hold C, H, B consecutively; the middle seat belongs to H, not the third-named B.

  • AGC — seats 8, 9, 1 hold G, A, C consecutively; the middle seat belongs to A, not the third-named C.

  • FGD — seats 6, 7, 8 hold F, D, G consecutively; the middle seat belongs to D, exactly the third-named person.

Only in F–G–D does the third-named person occupy the middle seat between the first and second, which is the required condition.

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