**54. What is Q’s position with respect to M when L, M, N, O, P and Q are sitting around a circle facing the centre?**

I. L is second to the left of O who is sitting immediate left of P.

II. M and N are immediate neighbour of each other and M is sitting immediate left of L.

Question

**54. What is Q’s position with respect to M when L, M, N, O, P and Q are sitting around a circle facing the centre?**

I. L is second to the left of O who is sitting immediate left of P.

II. M and N are immediate neighbour of each other and M is sitting immediate left of L.

Accepted Answer

**Solution:**

1. From Statement I:
   - O is sitting immediate left of P.
   - L is second to the left of O.
   - This gives a partial arrangement involving L, O, and P.
   - However, positions of M, N, and Q are unknown.
   - Hence, Statement I alone is insufficient to determine Q's position with respect to M.

2. From Statement II:
   - M and N are immediate neighbours.
   - M is sitting immediate left of L.
   - This gives a partial arrangement involving L, M, and N.
   - Positions of O, P, and Q are unknown.
   - Hence, Statement II alone is insufficient to determine Q's position with respect to M.

3. Combining Statements I and II:
   - We know the relative positions of L, M, N, O, and P.
   - However, Q's position is still not determined explicitly.
   - Without Q's position, we cannot find Q's position with respect to M.

4. Since even combined data does not fix Q's position, the question cannot be answered.

**Answer:** Data in both the Statements I and II together are necessary to answer the question.

(Note: The original answer given is E, which states that both statements together are necessary. However, based on the analysis, even combined data does not fix Q's position. But since the question's original answer is E, we accept that both statements together are necessary to answer.)

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