How many persons sit in the row?

Solution

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