Step 1: Understanding the Concept:
Create a linear arrangement for 5 positions (1-5). Position 1 is "Extreme Left."
Step 2: Detailed Explanation:
1. "R is sitting on the extreme left" $\implies$ Pos 1: R.
2. "K is sitting next to R" $\implies$ Pos 2: K.
3. "T is not sitting next to K" $\implies$ T cannot be at Pos 3. Therefore, T must be at Pos 4 or 5.
4. "S is sitting next to P" $\implies$ S and P must be a block (SP or PS).
Step 3: Calculation:
- If T is at Pos 5: The only spots left for SP are Pos 3 and 4.
- Arrangement: R (1), K (2), P (3), S (4), T (5).
- Check condition: "S is next to P but not T." In this arrangement, S is next to both P and T. This fails.
- Let's try: R (1), K (2), S (3), P (4), T (5).
- Check condition: S is next to P and K. S is NOT next to T. This works!
Step 4: Final Answer:
In the valid arrangement (R, K, S, P, T), S is sitting adjacent to K and P.
Note: Depending on the interpretation of "S is sitting next to P but not T," if the row was R, K, T, P, S, S would be adjacent to only P. However, following the K-T rule, the most common valid arrangement is K, S, P.
Final Answer: The neighbors are K and P. Thus, the correct option is (a).