Seven people F, G, H, L, M, O and Q are sitting in a row facing north. No one sits to the right of Q. O sits to the immediate left of Q. Only three people sit between Q and H. F sits third to the left of L. G sits to the immediate right of L. How many people sit between M and O?
Three
Number the seats 1 to 7 from left to right, all facing north. No one sits to the right of Q, so Q is at seat 7.
O sits immediately left of Q, so O is at seat 6. Only three people sit between Q (seat 7) and H, so H is at seat 3 (seats 4, 5, 6 lie between them).
F sits third to the left of L, and G sits immediately right of L. Trying L at seat 5 puts F at seat 2 and G at seat 6, but seat 6 is O, so that fails. Placing L at seat 4 gives F at seat 1 and G at seat 5, which fits the empty seats.
The remaining person M takes the only free seat, seat 2. Final row: F(1), M(2), H(3), L(4), G(5), O(6), Q(7).
Between M (seat 2) and O (seat 6) sit seats 3, 4, 5, that is three people.
Hence, three people sit between M and O.
Similar Questions
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Important Questions from Linear Arrangement
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