Eight friends S, T, U, V, W, X, Y and Z are sitting in a straight line facing north, but not necessarily in the same order. U sits third from the left end. Only one person sits between U and Y. W sits on immediate left of T. Z sits on the immediate right of X. Z sits on the left of V. Only one person sits between V and S. V is not on the left S. Who among the following sits between U and Y?

Solution

U sits third from the left end. _ _ U _ _ _ _ _ Only one person sits between U and Y. Here Y is possible in two places which are given below in Case(i) and Case(ii). Case(i) Y _ U _ _ _ _ _ Case(ii) _ _ U _ Y _ _ _ Only one person sits between V and S. V is not on the left S. Z sits on the left of V. Z sits on the immediate right of X. In Case(ii), S and V are possible in two places which are given below in Case(ii)(a) and Case(ii)(b). Case(i) Y _ U X Z S _ V Case(ii)(a) X Z U S Y V _ _ Case(ii)(b) X Z U _ Y S _ V W sits on immediate left of T. In Case(i) and Case(ii)(b), W and T are not possible as per the above given condition. So these cases are eliminated.  X Z U S Y V W T So according to the above arrangement, S sits between U and Y.