How many persons sit to the left of T?

Solution

Five persons sit between L and W. Z sits exactly between L and W. Five persons sit between Z and E. O sits fourth to the right of L. W sits second from one of the extreme ends. E doesn’t sit adjacent to O. There will be two cases: If W sits second for the left end, then L will sit sixth to the right of W. Z will sit either third to the right of W or third to the left of L. E will sit sixth to the right of Z. This case will get discarded as E doesn’t sit adjacent to O. _____  W ____   _____  Z  _____  _____ L _____  ______ E  O                                     Case 1. If W sits second for the right end, then L will sit sixth to the left of W. Z will sit either left to the right of W or third to the right of L. E will sit sixth to the left of Z. E ______   ______ L _____   _____  Z  O  _____ W _____                                       Case 2.   Two persons sit between E and T. Number of persons to the right of T is two more than those to the left of L. S sits third to the right of J, who sits exactly in the middle of the row. T sits third to the left of E. We know that 13 persons are sitting to the right of T. So, number of person sitting to the left of L = 13 – 2 = 11. Now, total number of persons in a row is 19 and J sits exactly in the middle of the row. Sp, J will either tenth to the right or left end of the row. ______   ______   ______   ______   ______  T  ______   ______  E J   ______ L S   _____  Z  O  _____ W _____                                       Case 2. Final arrangement a shown below: _____   ____   _____   ______   _____   T ____   _____ E J ____ L S _____ Z O ____ W ____