Question
How many persons sit between P and
U? Seven persons P, Q, R, S, T, U and V sit in a linear row and face in the north direction but not necessarily in the same order. T sits third to the right of S. T sits second to the left of U. Four persons sit between V and Q. V doesn't sit at any of the ends of the row. P doesn't sit adjacent to R.Solution
T sits third to the right of S. T sits second to the left of U. We have two cases, first, when S sits at extreme left end and second, when S sits second from one of the extreme ends. Case 1: When S sits at extreme left end. S ____Â _____Â T _____ U ____ Case 2: When S sits at second from the left end. _____ S ____Â _____Â T _____ U Four persons sit between V and Q. V doesn't sit at any of the ends of the row. In case 1, Q sits at extreme right end. In case 2, Q sits at extreme left end. Case 1: When S sits at extreme left end. SÂ Â Â Â Â Â Â Â VÂ Â Â Â Â Â Â Â ____ TÂ Â Â Â _____Â Â Â Â Â Â Â UÂ Â Â Â Â Â Â Â Q Case 2: When S sits second from the left end. QÂ Â Â Â Â Â Â Â SÂ Â Â Â Â Â Â Â _____Â _____Â TÂ Â Â VÂ Â Â U P doesn't sit adjacent to R. Case 2 gets eliminated. The final arrangement is as follows. SÂ Â Â Â Â Â Â Â VÂ Â Â Â Â Â Â Â P/RÂ Â Â Â TÂ Â Â Â Â Â Â Â Â R/PÂ Â Â Â UÂ Â Â Â Â Â Â Â Q Either two or no one sits between P and U.
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