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Solutions
1) X is sitting in the middle of the row.
2) L is sitting two places away from the one, who is sitting opposite to X.
3) M is sitting three places away from L.
4) The one, who is sitting opposite to M, sits three places away from U.

5) Two persons are sitting between N and K.
6) N is not sitting at any of the extreme ends.
7) U sits three places away from Y.
8) Z sits second to the left of Y.
(Here, case 2 will be eliminated)

Therefore, option D is the correct answer.