P, Q, R and S are sitting around a circle facing at the centre. Who is to the immediate right of Q?
I. R is between P and S.
II. S is to the immediate right of R.

Options

A. the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question,
B. the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question,
C. the data either in statement I alone or in statement II alone are sufficient to answer the question,
D. the data in both statements I and II together are necessary to answer the question.

Explanation

To solve the problem of who is sitting to the immediate right of Q, we will analyze the given statements step by step.

### Step 1: Analyze Statement I
**Statement I:** R is between P and S.

- This means that if we place R in the circle, P and S must be on either side of R.
- The possible arrangements can be:
1. P - R - S
2. S - R - P

### Step 2: Analyze Statement II
**Statement II:** S is to the immediate right of R.

- This statement specifies that S is directly to the right of R.
- In a circular arrangement, if we consider R's position, S must be placed clockwise from R.

### Step 3: Combine the Statements
Now, let's combine both statements to find the arrangement of all four individuals.

1. From Statement I, we know R is between P and S.
2. From Statement II, S is to the immediate right of R.

This means:
- If R is in the middle, and S is to the right of R, then the only arrangement that satisfies both statements is:
- P - R - S
- Therefore, P must be to the left of R.

### Step 4: Determine Q's Position
Since there are only four people (P, Q, R, S), and we have already placed P, R, and S, the only person left is Q.

- The arrangement now looks like this:
- P - R - S - Q

### Step 5: Identify Who is to the Immediate Right of Q
To find out who is to the immediate right of Q, we look at the arrangement:
- Q is sitting at the end of the arrangement, and the immediate right of Q (clockwise direction) will be P.

### Conclusion
Thus, the person sitting to the immediate right of Q is **P**.