Read the given information carefully and answer the questions given below. There is a family of nine members A, D, G, J, K, L, M, P and R. All of them are sitting on a straight bench in the garden with an equal distance between them, but not necessarily in the same order. Some of them are facing north and rest are facing south. There are three generation in the family. D, who is L’s mother sits fourth to the left of P. The ones who sit at the extreme ends face the south direction. P is the only son of R and both face the opposite directions. D sits immediate to M. A is not married and faces the same direction as K. R, who is the sister of A sits at one of the extreme ends with a male member. D’s neighbours are males and face the opposite directions. G’s soul mate D faces the south direction. M, who is the husband of K sits exactly in the middle of the bench and faces the north direction. L, who is a male, is the only sibling of K, who sits exactly between A and P’s sister, who is a female. L faces the same direction as G. A sits third to the left of G, who is P’s grandfather and who sits immediate to M.
**Question:** Which of the following pairs sit at the extreme ends of the bench?

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**Solution:**

1. Since M sits exactly in the middle (5th position) and faces north, place M at position 5 facing north.

2. G sits immediately next to M and is P's grandfather. So G is at position 4 or 6. Since A sits third to the left of G, and the bench is linear, placing G at 4 allows A at position 1 (4 - 3 = 1).

3. A is unmarried and faces the same direction as K.

4. R, sister of A, sits at one extreme end with a male member. The extreme ends face south. So R is at position 9 or 1. Since A is at 1, R must be at 9.

5. P is the only son of R, and both face opposite directions. Since R faces south (extreme end), P faces north.

6. D, mother of L, sits fourth to the left of P. So if P is at position 6 (since 9 is taken by R), D is at position 2 (6 - 4 = 2).

7. D sits immediately next to M (position 5). So D must be at position 4 or 6. But 4 is occupied by G, so D is at position 6.

8. D’s neighbors are males and face opposite directions. D at 6 neighbors M (5) and P (7). M faces north, so P must face south. But P faces north (from step 5), so P must be at 7 facing north, and D's neighbors M and P are males facing opposite directions (M north, P south). This contradicts previous assumption; re-examine.

9. Since P faces north and R south, and R is at 9, P cannot be at 7 (which is closer to 9). So P must be at 8 facing north.

10. D sits fourth to the left of P (P at 8), so D is at 4 (8 - 4 = 4).

11. D sits immediately next to M (5), so D at 4 and M at 5 fits.

12. G is D’s soulmate and faces south. G must be at 3 or 9. 9 is R, so G is at 3 facing south.

13. A sits third to the left of G (3 - 3 = 0, invalid), so G cannot be at 3. Try G at 7 facing south.

14. A sits third to the left of G (7 - 3 = 4), so A is at 4. But 4 is D. Contradiction.

15. Try G at 2 facing south.

16. A sits third to the left of G (2 - 3 = -1), invalid.

17. Try G at 1 facing south.

18. A sits third to the left of G (1 - 3 = -2), invalid.

19. Try G at 9 facing south (but 9 is R).

20. Try G at 6 facing south.

21. A sits third to the left of G (6 - 3 = 3), so A at 3.

22. Place A at 3, G at 6.

23. M is at 5 (middle), D sits immediately next to M, so D at 4 or 6. 6 is G, so D at 4.

24. D is L’s mother, L is male and faces same direction as G (south). L sits exactly between A (3) and P’s sister (female). So positions 3 (A), 4 (D), 5 (M), 6 (G), 7 (?)

25. L must be at 5 or 6? M is at 5, G at 6, so L at 7.

26. P’s sister is female and sits next to L (7), so P’s sister at 8.

27. P is only son of R (9), so P at 2 or 1.

28. D sits fourth to the left of P. If P at 2, D at (2 - 4 = -2), invalid.

29. If P at 1, D at (1 - 4 = -3), invalid.

30. So P must be at 8, D at 4 (8 - 4 = 4).

31. P at 8, P’s sister at 7, L at 6, G at 5, M at 3, A at 2, D at 4, R at 9, J at 1.

32. Extreme ends are positions 1 and 9, occupied by J and R.

**Answer:** (c) R, J

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