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 P lives below U. Only four people live between U and R. T lives on an odd numbered floor immediately above S. Q does not live on even numbered floor. Who lives on floor number 6?
V
Only P lives below U, so P is on floor 1 and U is on floor 2.
Only four people live between U and R. Counting five floors up from floor 2 gives floor 7 (floors 3, 4, 5 and 6 lie between them); counting down is impossible. So R is on floor 7.
T lives on an odd numbered floor immediately above S. The odd floors still free are 3 and 5 (floor 7 belongs to R). If T were on floor 3, S would be on floor 2, which U already occupies. So T is on floor 5 and S is on floor 4.
The floors left are 3 and 6. Q does not live on an even numbered floor, so Q is on floor 3, and the last person, V, is on floor 6.
| Floor | 7 | 6 | 5 | 4 | 3 | 2 | 1 |
| Person | R | V | T | S | Q | U | P |
Therefore the person living on floor number 6 is V.
Check: only P (floor 1) is below U (floor 2); Q, S, T and V (floors 3 to 6) lie between U and R; T on odd floor 5 is immediately above S on floor 4; Q is on odd floor 3 – every condition holds.
Hence, V.
Similar Questions
Seven boxes, A, B, C, D, E, F and G, are kept one over the other but not necessarily in the same order. Only three boxes are kept below F. Only two boxes are kept between F and D. Only A is kept above B. E is kept at some place below G and at some place above C. How many boxes are kept above E?
Seven boxes M, N, O, P, S, T and U are kept one over the other but not necessarily in the same order.
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A, B, C, D, E and F 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.
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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?
