Step-by-step Solution:

Quick Solution

This is a circular seating arrangement puzzle. We can solve it by placing the friends one by one based on the clues, starting with the most definite information. Since they are facing the center, "right" means moving in the anti-clockwise direction.

1. Building the Initial Arrangement

• Clue 2 ("T is the neighbour of R and V") gives us a block of three people: R-T-V or V-T-R.
• Clue 1 ("P is second to the right of T") helps us fix this order. If the sequence is V-T-R, then R is first to T's right, and P would be second. This gives us a solid block of four: V-T-R-P.
• Clue 4 ("V is the neighbour of U") tells us U must sit on the other side of V. This extends our block to five people: U-V-T-R-P.

2. The Final Arrangement

We now have a sequence of 5 people: U, V, T, R, and P. The remaining friends (Q, S, W) must sit in the three empty seats between P and U. Using the final clues ("S is not the neighbour of P," etc.), the only arrangement that satisfies all conditions is (in clockwise order):

The full clockwise order is: T, R, P, Q, W, S, U, V.

3. Answering the Question

The question asks which pair of friends are not neighbours. Let's check the options against our final arrangement:

• A. RV: In our circular order ...U, V, T, R..., V and R are separated by T. They are not neighbours.
• B. UV: In our order ...S, U, V..., V and U are sitting next to each other. They are neighbours.
• C. RP: In our order ...T, R, P..., R and P are sitting next to each other. They are neighbours.
• D. QW: In our order ...P, Q, W..., Q and W are sitting next to each other. They are neighbours.

Final Answer: The pair that are not neighbours is RV.