On a playground J , K, L, M, N, O, P, Q, R are sitting in one row to watch a cricket match. L is at the right side of M and is occupying third place from A at the right side. K is sitting either at first or last position. Q is in between O and P, O sitting at the third position at the left side of K. O is sitting next to 'J' at the right side. Who is sitting at the centre among them ?

Options

A. L
B. O
C. J
D. Q

Answer

To solve the problem step by step, we will analyze the seating arrangement based on the given clues.

### Step 1: Understand the clues
1. **L is at the right side of M.**
2. **L occupies the third place from A at the right side.**
3. **K is sitting either at the first or last position.**
4. **Q is in between O and P.**
5. **O is sitting at the third position from the left side of K.**
6. **O is sitting next to J on the right side.**

### Step 2: Set up the arrangement
Let's denote the positions in a row as follows:
1. Position 1
2. Position 2
3. Position 3
4. Position 4
5. Position 5
6. Position 6
7. Position 7
8. Position 8
9. Position 9

### Step 3: Place K
Since K can be either at the first or last position, let's explore both scenarios.

**Scenario 1: K at Position 1**
- If K is at Position 1, then O must be at Position 3 (as O is the third position from the left of K).
- This means L must be at Position 4 (since L is to the right of M).
- However, this arrangement does not allow for Q to be between O and P, as there are no available positions left.

**Scenario 2: K at Position 9**
- If K is at Position 9, then O must be at Position 7 (as O is the third position from the left of K).
- This means Q must be at Position 8 (since Q is between O and P).
- Since L is at the right side of M, we can place M at Position 6 and L at Position 5.
- Finally, J must be at Position 4 (since O is sitting next to J on the right side).

### Step 4: Final arrangement
Now we can summarize the arrangement:
1. Position 1: N (not mentioned yet)
2. Position 2: (not mentioned yet)
3. Position 3: (not mentioned yet)
4. Position 4: J
5. Position 5: L
6. Position 6: M
7. Position 7: O
8. Position 8: Q
9. Position 9: K

### Step 5: Identify the center
In a row of 9 people, the center position is Position 5.

### Conclusion
Thus, the person sitting at the center is **L**.