Eight people — A, B, C, D, E, F, G, H — live on the eight floors of a building (floor 1 is the lowest, floor 8 the highest), one person per floor. Clues: (i) A lives on an even-numbered floor. (ii) There are three floors between A and B. (iii) C lives immediately above D. (iv) E lives on floor 5. (v) F lives on the topmost floor. (vi) Exactly one person lives between E and G, and G lives above E. (vii) H lives on floor 1. (viii) B lives above A. Who lives on the topmost floor?

Question

Accepted Answer

F. E=5, F=8, H=1; one between E and G with G higher gives G=7. Remaining floors 2,3,4,6: A even with B=A+4 forces A=2, B=6; then C=4 above D=3. Final (top to bottom): 8 F, 7 G, 6 B, 5 E, 4 C, 3 D, 2 A, 1 H. Topmost is F.

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