In a linear row, all persons face north. Given the following conditions:
- P sits third to the right of S. - Exactly three persons sit between P and Q. - U sits third to the left of Q. - U is fifth from the left end. - R sits third to the left of U. - Exactly three persons sit between W and T, and T is an immediate neighbor of R. - Exactly six persons sit to the right of W. - M sits immediately to the left of O. - Exactly three persons sit between M and H. - O does not sit to the left of P. - H is not at the extreme end of the row.
Who among the following sits exactly between R and Q?

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**Solution:**

1. Since U is fifth from the left end, place U at position 5.

2. R sits third to the left of U, so R is at position 2.

3. T is an immediate neighbor of R and three persons sit between W and T. Since R is at 2, T can be at position 1 or 3. If T is at 1, then W must be at position 5 (which is occupied by U), so T must be at 3.

4. Three persons sit between W and T (T at 3), so W is at position 7.

5. Six persons sit to the right of W, so total number of persons = 7 + 6 = 13.

6. P sits third to the right of S. Let S be at position x, then P is at x + 3.

7. Exactly three persons sit between P and Q, so the distance between P and Q is 4 positions.

8. U sits third to the left of Q, so Q is at position 8 (since U is at 5).

9. Since Q is at 8 and P is 4 positions away, P can be at 4 or 12.

10. O does not sit to the left of P, so P cannot be at 12 (because O must be to the right or at the same position).

11. So P is at 4, and S is at 1 (since P is third to the right of S).

12. M sits immediately to the left of O, and exactly three persons sit between M and H.

13. H is not at an extreme end.

14. By placing M and O accordingly and checking all conditions, H is found to be at position 6.

15. Now, R is at 2 and Q is at 8. The persons between R and Q are at positions 3, 4, 5, 6, and 7.

16. Among these, H is at position 6, which lies exactly between R and Q.

**Answer:** (d) H

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