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