Read the following information carefully and answer the question that follows.…

2024

Read the following information carefully and answer the question that follows. (Questions 9 to 11 are based on this information.)

P, Q, R, S, T, U and V are seven friends sitting in a circle, facing the centre.

  • V is second to the left of S, and is the neighbour of T and U.

  • S is not a neighbour of R or T.

  • P is a neighbour of Q and R.

Which of the following is correct?

  1. A.

    Q is between P and S.

  2. B.

    S is between U and P.

  3. C.

    T is to the immediate right of V.

  4. D.

    U is to the immediate left of V.

Attempted by 3 students.

Show answer & explanation

Correct answer: A

In a circular arrangement where everyone faces the centre, positions are read using each person's own left and right: as drawn, moving clockwise around the circle is a seated person's left-hand direction, and moving counter-clockwise is their right-hand direction. "Second to the left of X" means two seats clockwise from X, and two people are neighbours only when their seats are immediately adjacent.

  1. Number the seats 1 to 7 clockwise and place S at seat 1. Since V is second to the left of S, V takes seat 3; V's two neighbours (seats 2 and 4) must be T and U, in some order.

  2. S is not a neighbour of R or T. S's neighbours are seats 2 and 7, so seat 2 cannot be T — seat 2 is U and seat 4 is T. Seat 7, S's other neighbour, also cannot be R.

  3. P, Q and R fill the remaining seats 5, 6 and 7. Since P is a neighbour of both Q and R, P must sit between them, taking the middle seat 6, with Q and R at seats 5 and 7.

  4. Seat 7 cannot be R (from the previous step), so R takes seat 5 and Q takes seat 7. The complete clockwise order is: S - U - V - T - R - P - Q - back to S.

Circular seating diagram showing the derived order

Reading neighbours off this order: Q's neighbours are P and S, so a claim pairing Q with both of them holds. S's neighbours are U and Q, not P, so any claim placing P next to S fails. Around V, the clockwise (left-hand) neighbour is T and the counter-clockwise (right-hand) neighbour is U, so a claim that swaps these two sides is reversed.

Hence, only the claim that Q sits between P and S is correct.

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