P, Q, R, S, T, U and V are sitting around a circular table facing the center but not necessarily in the same order. S is not a neighbour of Q and V. P is a neighbour of Q and R. U, who is second to the right of S, is the neighbour of T and V. Which of the following must be true?

(A) V is not seated next to Q.
(B) T is sitting third to the left of Q.
(C) R is sitting third to the right of V.
(D) R and S are not neighbours.

Choose the correct answer from the options given below:

(B) and (C) only

The correct answer is Option (3) → (B) and (C) only

Given conditions

• 7 persons: P, Q, R, S, T, U, V sitting around a circular table facing the centre.
• S is not a neighbour of Q and V.
• P is a neighbour of both Q and R.
• U is second to the right of S.
• U is a neighbour of T and V.

Constructing the arrangement

1. Fix S at a reference position.
2. Place U second to the right of S.
3. Since U is a neighbour of T and V, T and V must sit on either side of U.
4. S is not a neighbour of V, so V must be placed on the side of U away from S.
5. Now only three seats remain for P, Q, R.
6. Since P is a neighbour of both Q and R, P must be seated between Q and R.

After satisfying all conditions, only one consistent arrangement emerges.

Checking the statements

• (A) V is not seated next to Q → Not always true
• (B) T is sitting third to the left of Q → Always true
• (C) R is sitting third to the right of V → Always true
• (D) R and S are not neighbours → Not always true

Correct answer (B) and (C) only