Study the given information carefully and answer the related questions. Six…

2022

Study the given information carefully and answer the related questions. Six persons sit around a circular table facing towards the centre. All of them have different number of flowers viz. 29, 14, 36, 43, 51 and 47. One person sits between M and R who have 14 flowers. Two persons sit between the one who have 29 flowers and M. S sits immediate left of A who doesn’t sit adjacent to the one who have 29 flowers. A doesn’t have 29 flowers. S have more flowers than M and difference between the number of flowers of both of them is 15. O neither have 29 flowers nor 43 flowers. H is one of the persons.

Who among the following sits just right of the one who have 36 flowers?

  1. A.

    O

  2. B.

    H

  3. C.

    S

  4. D.

    R

  5. E.

    None of these

Attempted by 1 students.

Show answer & explanation

Correct answer: A

Concept

Circular seating puzzles are solved by fixing positions relative to one another and eliminating impossibilities. When persons face the centre of the table, each person's RIGHT side points in the anticlockwise direction and the LEFT side points clockwise. “Immediate left/right” therefore refers to the adjacent neighbour on that side. We combine the distance clues (“one person between” = a gap of one seat; “two persons between” = a gap of two seats) with the flower-count clues to pin every seat uniquely.

Application

  1. R has 14 flowers, and exactly one person sits between M and R — so M and R are two seats apart on the circle.

  2. Two persons sit between the 29-flower holder and M, so the 29-holder is directly across the gap, three seats from M.

  3. S has 15 more flowers than M, with S > M. Two pairs from {29, 14, 36, 43, 51, 47} differ by exactly 15: (14, 29) and (36, 51). The pair (14, 29) is ruled out because 14 already belongs to R and every count is different, so M = 36 and S = 51.

  4. Since the 29-holder is three seats from M and is not S (S = 51), and O has neither 29 nor 43, the 29-flower holder must be H, with H = 29.

  5. S sits immediate left of A, and A does not sit next to the 29-holder and does not hold 29. Placing A and S accordingly, and giving R = 14, the remaining counts 43 and 47 fall to A and O. O cannot be 43, so O = 47 and A = 43.

  6. This fixes the clockwise order as M(36), A(43), S(51), H(29), R(14), O(47), which satisfies every clue.

Cross-check

Reading the final circle: M holds 36 flowers. Facing the centre, the person on M's right (the anticlockwise neighbour) is O, who holds 47 flowers. Hence the person just right of the 36-flower holder is O. The arrangement is unique up to rotation, and the same person results even under the mirror-image reading of left/right, confirming the answer.

  • R = 14, M = 36, S = 51 (S − M = 15) — all satisfied.

  • 29-holder is H, three seats from M — satisfied.

  • S is immediate-left of A; A is not adjacent to the 29-holder — satisfied.

  • O is neither 29 nor 43 (O = 47) — satisfied.

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