P, Q, R, S, T, U and V live on seven 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 7. Only four people live between T and V. T lives on an odd numbered floor. Only two people live between V and R. S lives on an odd numbered floor immediately below Q. P lives on an even numbered floor. On which floor number does U live?
1
Four people live between T and V, so (T, V) occupy floors (1, 6), (6, 1), (2, 7) or (7, 2). T is on an odd floor, so either T = 1, V = 6 or T = 7, V = 2.
Case T = 1, V = 6: two people between V and R gives R = 3. S must be on an odd floor immediately below Q; the free odd floors are 5 and 7, but Q would then be on 6 (taken by V) or 8 (does not exist). This case fails.
Case T = 7, V = 2: R = 5 (two people between V and R). S on an odd floor immediately below Q: S = 3, Q = 4.
P is on an even floor; the only free even floor is 6, so P = 6. The remaining floor 1 goes to U.
| Floor | Person |
|---|---|
| 7 | T |
| 6 | P |
| 5 | R |
| 4 | Q |
| 3 | S |
| 2 | V |
| 1 | U |
U lives on floor 1.
Hence, the answer is 1.
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Important Questions from Floor Puzzle
If T joined P, Q, R and S, and T was on the third step, and Q was on a higher step than T, which step must be vacant?
If there are two steps in between the steps on which A and D are standing and C is standing on Step 6, A must be standing on which of the following steps?
If D is standing on step 1, on which step A could be standing?
If E sits in his office and faces the corridor, whose office is to his left?
- I, J, K, L, M and Y 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. Only L lives above Y. I lives on some floor below J. Only M lives below K.
How many people live between J and M?
