Six people M, N, O, P, Q, and R are sitting in a straight line, all facing North. P is 3rd to the left of R. M is to the immediate right of Q. O is not sitting at any end. Q is not at the extreme left. N is to the immediate left of R. Who is sitting in the middle?
N
Number the seats 1 (left end) to 6 (right end). Since all face North, left and right are as seen by us.
P is 3rd to the left of R, so (P, R) is (1, 4), (2, 5) or (3, 6). N is to the immediate left of R, so N sits at 3, 4 or 5 respectively.
Case (2, 5): N is at 4, leaving seats 1, 3 and 6. Q and M need two adjacent seats, which are not available. Rejected.
Case (3, 6): N is at 5, leaving seats 1, 2 and 4. Q and M must take 1 and 2, but Q cannot be at the extreme left. Rejected.
Case (1, 4): N is at 3, leaving seats 2, 5 and 6. Q and M take 5 and 6 (M to the immediate right of Q), and O, who is not at an end, takes seat 2.
The arrangement is P O N R Q M. The middle seats are 3 and 4, occupied by N and R; among the choices, N is in the middle.
Hence, the answer is N.
Similar Questions
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Important Questions from Linear Arrangement
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Five friends Ram, Priya, Raunak, Aditya and Shyam are sitting in a row facing north. Raunak is to the right of Shyam and Priya is to the left of Shyam but to the right of Rama. Raunak is to the left of Aditya. Who is fourth from the left end?
Six people P, Q, R, S, T and U sit in a row, not necessarily in the same order. If two persons sit in between P and Q, and two persons sit in between T and U, then how many persons sit in between R and S?
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