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:
Answer & explanation
Correct answer: option 3
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
- Fix S at a reference position.
- Place U second to the right of S.
- Since U is a neighbour of T and V, T and V must sit on either side of U.
- S is not a neighbour of V, so V must be placed on the side of U away from S.
- Now only three seats remain for P, Q, R.
- 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