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

2025

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

  1. V is second to the left of S and is the neighbour of both T and U.

  2. S is not a neighbour of R or T.

  3. P is a neighbour of both Q and R.

Which of the following pairs has the second person sitting to the immediate right of the first person?

  1. A.

    QU

  2. B.

    US

  3. C.

    TR

  4. D.

    PT

Show answer & explanation

Correct answer: B

Concept: When everyone in a circular arrangement faces the CENTRE, left and right are mirrored compared to facing outward — each person's LEFT points in the clockwise direction and their RIGHT points in the anticlockwise direction. So “k-th to the left of X” means k seats clockwise from X, and “Y sits immediately to the right of X” means Y occupies the one seat immediately anticlockwise-adjacent to X.

Application:

  1. Fix S as the reference seat and label the seats 0 to 6 going clockwise.

  2. Since V is second to the left of S, and left is the clockwise direction here, V sits 2 seats clockwise from S (seat 2).

  3. V's two neighbours are T and U, so the seats immediately adjacent to V (seats 1 and 3) are occupied by T and U in some order.

  4. S's two neighbouring seats are seat 6 and seat 1. Because S cannot neighbour T, seat 1 must be U, which forces seat 3 to be T.

  5. S also cannot neighbour R, so seat 6 cannot hold R; P, Q and R must fill the remaining seats 4, 5 and 6.

  6. P needs BOTH Q and R as neighbours. Among seats 4, 5 and 6, only seat 5 has both its neighbouring seats (4 and 6) inside this trio, since seats 4 and 6 each also border someone outside the trio (T and S). So P sits at seat 5, with Q and R at seats 4 and 6.

  7. Since seat 6 cannot be R, seat 6 must be Q and seat 4 must be R.

Cross-check: Reading the finished chart clockwise gives S, U, V, T, R, P, Q. Checking every clue against it: V's neighbours are U and T; S's neighbours are Q and U, never R or T; P's neighbours are R and Q — all four conditions hold together.

Result: U's immediate anticlockwise-adjacent seat — which is U's “right”, since everyone faces the centre — is occupied by S, so the pair U-S is the one where the second person sits immediately to the right of the first.

Circular seating chart showing the resolved order R, P, Q, S, U, V, T around the circle

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