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

2024

Study the following information carefully and answer the given questions:
Seven persons A, B, C, D, E, F, and G are sitting around a circular table, but not necessarily in the same order. Some of them face towards the centre, and some face away from the centre. F sits third to the right of A. The immediate neighbours of A face the same direction but opposite as A. A faces the same direction as B but not towards the centre. One person sits between A and C. D sits 2nd to the left of C. E sits 2nd to the left of G and face in the same direction. F and D face opposite direction as E.

Which among the following pair of persons faces the same direction?

  1. A.

    G and C

  2. B.

    A and E

  3. C.

    E and D

  4. D.

    C and F

  5. E.

    None of these

Attempted by 2 students.

Show answer & explanation

Correct answer: A

Concept

A circular direction puzzle tracks two things per person: their seat and their facing (inward = toward the centre, outward = away). The clue that converts left/right is that when a person faces the centre their right hand points clockwise, and when they face away it points counter-clockwise, so the counting direction depends on the reference person's own facing. Fix the seats first, then fix every facing from the same/opposite-direction clues, and finally read off which named pair shares a facing.

Application — seats

  1. Place A and apply 'F sits third to the right of A'. Since A faces outward (it does not face the centre), A's right is counter-clockwise, so F sits three seats counter-clockwise from A.

  2. 'One person sits between A and C' and 'D sits 2nd to the left of C' must hold together; testing the gap of two seats between A and C and placing D two to C's left (C faces inward, so its left is counter-clockwise) gives a single consistent layout.

  3. 'E sits 2nd to the left of G' then fixes E and G into the remaining seats. The only arrangement that satisfies every seat clue (reading clockwise) is A, G, B, D, F, C, E.

Application — facings

  1. A faces outward, and A faces the same direction as B, so B is outward.

  2. Both immediate neighbours of A face opposite to A, i.e. inward; those neighbour seats are G and E, so G and E face inward.

  3. E and G face the same direction (consistent with both inward), and F and D face opposite to E, so F and D face outward.

  4. C is the remaining person; the seat and direction clues leave C facing inward.

Collecting every facing: inward = G, C, E; outward = A, B, D, F. The only offered pair whose two persons share a facing is (G, C), since both face inward. That is the required pair.

Cross-check

  • A is outward but E is inward, so that pair faces opposite directions.

  • E is inward but D is outward, so that pair faces opposite directions.

  • C is inward but F is outward, so that pair faces opposite directions.

  • Exactly one offered pair, (G, C), shares a facing, so 'None of these' does not apply.

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