Who is to the immediate right of P among five persons P, Q, R, S and T facing North?
I. R is third to the left of Q and P is second to the right of R.
II. Q is to the immediate left of T who is second to the right of P.

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 given in both statements I and II together are not sufficient to answer the question,

Explanation

To solve the problem of who is to the immediate right of P among five persons (P, Q, R, S, and T) facing North, we will analyze the two statements provided.

### Step-by-Step Solution:

1. **Understanding the Orientation**:
- Since all persons are facing North, we can visualize their positions accordingly.
- The right of a person facing North will be to their right side.

2. **Analyzing Statement I**:
- **Statement I**: R is third to the left of Q, and P is second to the right of R.
- If R is third to the left of Q, we can represent Q's position as follows:
- If Q is at position 1, then R will be at position 1 - 3 = position -2 (which is not possible in a 5-person arrangement).
- If Q is at position 2, R will be at position 2 - 3 = position -1 (not possible).
- If Q is at position 3, R will be at position 3 - 3 = position 0 (not possible).
- If Q is at position 4, R will be at position 4 - 3 = position 1 (possible).
- If Q is at position 5, R will be at position 5 - 3 = position 2 (possible).
- Therefore, R can only be at position 2 or 1 if Q is at position 4 or 5 respectively.
- Now, if P is second to the right of R, we can place R at position 2:
- R (position 2) → P (position 4).
- This means Q must be at position 1 (to satisfy R being third to the left of Q).
- Thus, we have:
- Position 1: Q
- Position 2: R
- Position 4: P
- The immediate right of P (position 4) is position 5, which must be T or S.

3. **Analyzing Statement II**:
- **Statement II**: Q is to the immediate left of T, who is second to the right of P.
- If T is second to the right of P, we can visualize:
- If P is at position 1, T will be at position 3.
- If P is at position 2, T will be at position 4.
- If P is at position 3, T will be at position 5.
- Since Q is to the immediate left of T, we can place Q accordingly:
- If T is at position 3, Q must be at position 2.
- If T is at position 4, Q must be at position 3.
- If T is at position 5, Q must be at position 4.
- The only arrangement that satisfies both conditions is:
- Position 1: P
- Position 2: Q
- Position 3: T
- Thus, the immediate right of P (position 1) is Q (position 2).

4. **Conclusion**:
- From both statements, we find that in both cases, Q is to the immediate right of P.
- Therefore, we conclude that either statement alone is sufficient to answer the question.

### Final Answer:
The person to the immediate right of P is **Q**.