Six family members P, Q, R, S, T and U are sitting around a circular table facing towards the centre and at equal distance from each other (not necessarily in the same order). Q is to the immediate right of S. P and S are facing towards each other. T is not the neighbour of P. R is to the immediate right of P. Who are the neighbours of U?

Options

A. R and Q
B. Q and P
C. P and R
D. S and T

Answer

To solve the problem of seating arrangement for the six family members P, Q, R, S, T, and U sitting around a circular table, we will follow the clues given step by step.

### Step-by-Step Solution:

1. **Understanding the Circular Arrangement**:
- We have six members: P, Q, R, S, T, and U.
- They are seated in a circular manner, facing towards the center.

2. **Placing S and Q**:
- The first clue states that Q is to the immediate right of S.
- Let's place S at a position and then place Q to its immediate right.
- Assume S is at position 1, then Q will be at position 2.

```
Position: 1 (S) - 2 (Q)
```

3. **Placing P**:
- The next clue states that P and S are facing each other.
- Since S is at position 1, P must be directly opposite S, which is position 4.

```
Position: 1 (S) - 2 (Q) - 3 (?) - 4 (P)
```

4. **Placing R**:
- The clue states that R is to the immediate right of P.
- Since P is at position 4, R will be at position 5.

```
Position: 1 (S) - 2 (Q) - 3 (?) - 4 (P) - 5 (R)
```

5. **Placing T**:
- The clue states that T is not a neighbor of P.
- Since P is at position 4 and R is at position 5, T cannot be at position 3 (which is a neighbor of P).
- Therefore, T must be at position 6.

```
Position: 1 (S) - 2 (Q) - 3 (U) - 4 (P) - 5 (R) - 6 (T)
```

6. **Identifying U's Position**:
- The only remaining position is position 3, which must be U.

```
Final Arrangement:
1 (S) - 2 (Q) - 3 (U) - 4 (P) - 5 (R) - 6 (T)
```

7. **Finding Neighbors of U**:
- The neighbors of U (position 3) are Q (position 2) and P (position 4).

### Final Answer:
The neighbors of U are **P and Q**.