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A, D, F, G, H and S live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it, number 2 and so on till the topmost floor is numbered 6. S lives on an even numbered floor but not 6. The sum of floors on which A and S live is 9. The sum of floors on which S and H live is 5. D lives immediately below F. What is the sum of floors on which D and F live?
6
7
4
5 Question ID : 4410091462436 Option 1 ID : 4410095777856 Option 2 ID : 4410095777857 Option 3 ID : 4410095777855 Option 4 ID : 4410095777854 Status : Answered Chosen Option : D
5 Question ID : 4410091462436 Option 1 ID : 4410095777856 Option 2 ID : 4410095777857 Option 3 ID : 4410095777855 Option 4 ID : 4410095777854 Status : Answered Chosen Option : D
Calculate S first using the floor constraint (even, not 6), then derive A and H to fill the gaps for D and F.
Calculate S first using the floor constraint (even, not 6), then derive A and H to fill the gaps for D and F.
Determine S's floor
S lives on an even floor but not 6. Possible floors for S are 2 or 4. Case 1: If S is 2, then A (9-2) = 7, which is impossible as there are only 6 floors. Therefore, S must be on floor 4.
Determine A and H's floors
With S = 4, A = 9 - 4 = 5. With S = 4, H = 5 - 4 = 1. Floors occupied: 1 (H), 4 (S), 5 (A).
Place D and F
Available floors are 2, 3, and 6. D lives immediately below F, implying a consecutive pair (F, D). The only available consecutive pair is floor 3 and 2. Thus, F is on 3 and D is on 2.
Calculate the sum for D and F
D = 2, F = 3. The sum is 2 + 3 = 5.
A: 6 is incorrect because the sum of floors 2 and 3 is 5, not 6. B: 7 is incorrect because the calculated floors for D and F are 2 and 3. C: 4 is incorrect because the sum of floors 2 and 3 is 5, not 4.
D is correct because D lives on floor 2 and F lives on floor 3, which sums to 5.
In floor puzzles, always prioritize identifying the exact floor of a person whose position is constrained by parity (even/odd) or absolute values before filling others.
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