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?

Answer: A. Q is between P and S.ConceptIn a circular arrangement, relative positions are read from each seated person’s own viewpoint. When everyone faces the centre, clockwise movement is…

  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 150 students.

Show answer & explanation

Correct answer: A

Concept

In a circular arrangement, relative positions are read from each seated person’s own viewpoint. When everyone faces the centre, clockwise movement is to a person’s left and counter-clockwise movement is to the person’s right.

A neighbour occupies an immediately adjacent seat. A statement such as “second to the left” counts two seats in the appropriate direction, while a person who is neighbour to two named people must occupy the seat between them.

Application

  1. Number the seats 1 to 7 clockwise and place S at seat 1. V is second to the left of S, so V takes seat 3; seats 2 and 4, adjacent to V, are occupied by T and U in some order.

  2. S is not a neighbour of R or T. Because S’s adjacent seats are 2 and 7, seat 2 cannot contain T and seat 7 cannot contain R. Therefore U takes seat 2 and T takes seat 4.

  3. The remaining seats 5, 6 and 7 belong to P, Q and R. Since P must be adjacent to both Q and R, P takes the middle seat 6, with Q and R at seats 5 and 7.

  4. Seat 7 cannot contain R, so R takes seat 5 and Q takes seat 7. The clockwise order is S – U – V – T – R – P – Q – back to S.

Circular seating diagram showing the derived order

Cross-check

  • Q has P and S as its two immediate neighbours.

  • S has U and Q as its two immediate neighbours.

  • T is the clockwise neighbour of V, which is V’s left-hand side when facing the centre.

  • U is the counter-clockwise neighbour of V, which is V’s right-hand side when facing the centre.

Therefore, the statement “Q is between P and S” is the correct result.

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