Eight persons – P, Q, R, S, T, U, V and W sit around a circular table facing the center but not necessarily in the same order. S sits second to the right of U. Q sits adjacent to U. Only one person sits between S and W. T does not sit adjacent to W. T sits to the immediate left of P. R sits two persons away from P.

W sits adjacent to ___.

The correct option is Both R and V.

Let us solve this seating arrangement step-by-step for the eight persons (P, Q, R, S, T, U, V, and W) sitting around a circular table facing the center.

Step 1: Determine the positions of U, S, and W.

Place U at position 1 (facing center). Since all persons face the center, clockwise is to the left and counter-clockwise is to the right.

S sits second to the right of U. Moving two places to the right (counter-clockwise) from position 1, S is placed at position 3.

Only one person sits between S and W. This gives two possibilities for W:

Case 1: W is at position 1 (occupied by U) – Not possible.

Case 2: W is at position 5.

Thus, W is at position 5.

Step 2: Place T and P.

T sits to the immediate left of P, and T does not sit adjacent to W. Since W is at position 5, T cannot be at position 4 or position 6.

The available positions around the circle are positions 1 to 8, with U at 1, S at 3, and W at 5.

T and P must occupy two consecutive positions such that P is to the right of T (meaning T is immediately to the left of P, so in counter-clockwise order, T comes before P).

Testing consecutive vacant positions for (T, P):

- Positions (6, 7): T at 6 is adjacent to W at 5, which violates the rule that T is not adjacent to W.

- Positions (7, 8): T at 7, P at 8. T is not adjacent to W, which is valid.

Step 3: Place R, Q, and V.

R sits two persons away from P. From position 8 (P), moving 2 places clockwise gives position 6, or 2 places counter-clockwise gives position 2.

If R is at position 6:

Q sits adjacent to U (position 1). The positions adjacent to U are 2 and 8 (P is at 8). So Q must be at position 2.

Now, the remaining empty position is 4, which must be occupied by V.

Step 4: Verify the full arrangement.

Let us list the circular order from position 1 to 8:

1: U
2: Q
3: S
4: V
5: W
6: R
7: T
8: P

Let us check all given constraints:

- S (3) sits second to the right of U (1): Correct.

- Q (2) sits adjacent to U (1): Correct.

- Only one person (V at 4) sits between S (3) and W (5): Correct.

- T (7) does not sit adjacent to W (5): Correct (neighbors of T are R at 6 and P at 8).

- T (7) sits to the immediate left of P (8): Correct.

- R (6) sits two persons away from P (8): Correct.

Conclusion:

Looking at position 5 where W is seated, the persons sitting adjacent to W are V (position 4) and R (position 6).

Therefore, W sits adjacent to Both R and V.