Seven friends P, Q, R, S, T, U and V are sitting around a circle facing away…

2023

Seven friends P, Q, R, S, T, U and V are sitting around a circle facing away from the centre. T and U are not the immediate neighbors of R. S is sitting second to the left of V and third to the right of R. P is sitting second to the right of T. Who is sitting third to the right of P?

  1. A.

    U

  2. B.

    S

  3. C.

    R

  4. D.

    Q

Attempted by 169 students.

Show answer & explanation

Correct answer: A

Solution: place people step by step and determine who is third to the right of P.

  • Number the seven seats clockwise from 0 to 6 and place R at seat 0 as a reference.

  • S is third to the right of R, so S is at seat 3 (move three seats clockwise from R).

  • S is also second to the left of V. That means V is two seats clockwise from S, so V is at seat 5.

  • Seats now occupied: R at 0, S at 3, V at 5. Remaining seats are 1, 2, 4, 6.

  • T and U are not immediate neighbours of R, so they cannot be at seats 6 or 1 (the seats next to R). Therefore T and U must occupy seats 2 and 4.

  • P is second to the right of T. If T were at seat 2, P would be at seat 4, but that would conflict with U occupying seat 4. So T must be at seat 4 and U at seat 2. Then P (second to the right of T) is at seat 6.

  • Third to the right of P (move three seats clockwise from seat 6) is seat 2, which is occupied by U.

Answer: U is sitting third to the right of P.

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