A certain number of persons are sitting in a row facing south. G sits 4th to the right of W, who sits 3rd to the left of P. The number of persons between P and W is equal to the number of persons to the right of G. E sits 3rd to the left of A. Six persons sit between E and F. An odd prime number of persons sit between G and H, who does not sit to the right of A. Five persons sit between P and A. Four persons sit to the left of A.
Who sits 3rd to the right of A?

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**Solution:**

1. Since all persons face south, right and left directions are as given.

2. W sits 3rd to the left of P, so if P is at position *x*, W is at *x - 3*.

3. G sits 4th to the right of W, so G is at position *x - 3 + 4 = x + 1*.

4. The number of persons between P and W equals the number of persons to the right of G.
   - Persons between P and W = 2 (since W is 3rd to left of P, so positions between them are 2).
   - Therefore, persons to the right of G = 2.

5. E sits 3rd to the left of A.

6. Six persons sit between E and F.

7. An odd prime number of persons sit between G and H, and H does not sit to the right of A.

8. Five persons sit between P and A.

9. Four persons sit to the left of A.

10. From the above, placing A at position 5 (since 4 persons are to the left), then:
    - E is 3rd to the left of A → E at position 2.
    - Six persons between E and F → F at position 9.
    - Five persons between P and A → P at position 11 (since A is 5, P is 11).
    - W is 3rd to left of P → W at position 8.
    - G is 4th to right of W → G at position 12.
    - Persons to right of G = 2 (positions 13 and 14).
    - Number of persons between P and W = 2 (positions 9 and 10).
    - H does not sit to right of A and odd prime number between G and H → H at position 7.

11. Now, find who sits 3rd to the right of A (position 5): position 8 → W.

**Answer:** (d) W

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