Seven friends J, K, L, M, N, O and P each stay on a different floor of a seven-storey hostel, with floors numbered upward from the bottom. K stays on the top floor and N stays immediately below K. L stays on the fourth floor. Exactly two floors separate L and J. O stays immediately below L, and M stays on some floor below O. How many friends stay on the floors between J and N?

Question

Accepted Answer

Four. K = 7, N = 6, L = 4, O = 3. Two floors between L and J puts J on floor 1 or 7; 7 is taken, so J = 1. M is below O (floor 1 or 2) and 1 is taken, so M = 2, leaving P = 5. Between J (1) and N (6) are floors 2, 3, 4, 5 — four friends.

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