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A, B, C, D, E, F and G live on seven different floors of the same building. The lowermost floor on the building is numbered 1, the floor above it, number 2 and so on, till the topmost floor is numbered 7. C lives on the sixth floor. Only three people live between C and F. A lives on an even numbered floor. D lives on one of the floors below B but immediately above F. E lives on one of the floors above C. Who lives on the lowermost floor?
G
F
E
B
G
Identify the constraints first: F is fixed by the 3-floor gap with C (6th floor), then place D immediately above F, and A on an even floor to lock the positions.
Identify the constraints first: F is fixed by the 3-floor gap with C (6th floor), then place D immediately above F, and A on an even floor to lock the positions.
Establish Fixed Positions
C is on Floor 6. 'Only three people between C and F' implies F must be on Floor 2 (6-3-1 = 2) or below. Calculating: 6, 5, 4, 3, 2. If C=6, then F=2.
Place D and B
D is immediately above F, so D is on Floor 3. D is below B; therefore, B must be on Floor 4 or higher. A is on an even floor (2, 4, or 6). Since 6(C), 2(D), 3(F) are occupied, A must be on Floor 4.
Final Filling
E is above C, so E must be on Floor 7 (the only spot above 6). Remaining person is G. The only empty spot is Floor 1. Wait, correction: The lowermost floor is 1. With C=6, E=7, A=4, D=3, F=2, B=5, G=1.
B: F is on Floor 2, not the bottom. C: E is on the topmost floor (7). D: B is on Floor 5.
A is correct because by filling the constraints (C=6, E=7, A=4, B=5, D=3, F=2), G naturally occupies the only remaining floor, which is Floor 1 (lowermost).
In floor-based puzzles, always place the anchor point (C on 6) first, then map out the rigid blocks (D immediately above F) to restrict the remaining variables quickly.
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