Six people — A, B, C, D, E and F — live on six different floors of a building; the lowest floor is numbered 1 and the topmost is numbered 6. B lives on the lowest floor. D lives immediately above B. A lives on an odd-numbered floor. Exactly two persons live between A and F. C lives immediately above E. Who lives on the topmost floor?

Question

Accepted Answer

F. B is on floor 1 and D immediately above on floor 2. A is odd, so A is on floor 3 or 5. Two persons live between A and F: with A on floor 3, F must be on floor 6 (floors 4 and 5 between them); A on floor 5 leaves no valid F. So A=3, F=6. C is immediately above E, leaving E=4, C=5. Floors top-to-bottom: F(6), C(5), E(4), A(3), D(2), B(1). F is on the topmost floor.

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