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. E lives on an odd-numbered floor but not on floor number 5. Only one person lives between E and C. D lives immediately above F. B lives on a lower floor than C. A does not live on the topmost floor. Who lives on the topmost floor?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. D.
1) E lives on an odd-numbered floor but not on floor number 5. Here we will get 2 cases:
2) Only one person lives between E and C. From here we will get 2 cases in case 2 i.e. case 2 (a) and case 2(b)
| Floors | Case 1 | Case 2 (a) | Case 2 (b) |
| 6 | |||
| 5 | C | ||
| 4 | |||
| 3 | C | E | E |
| 2 | |||
| 1 | E | C |
3) B lives on a lower floor than C. From here case 2 (a) gets eliminated as B cannot be placed in this case.
4) 3) D lives immediately above F.
| Floors | Case 1 | Case 2 (b) |
| 6 | D | |
| 5 | F | C |
| 4 | B | |
| 3 | C | E |
| 2 | B | D |
| 1 | E | F |
5) A does not live on the topmost floor. Case 2 (b) gets eliminated.
So, the final arrangement is:
| Floors | Case 1 |
| 6 | D |
| 5 | F |
| 4 | A |
| 3 | C |
| 2 | B |
| 1 | E |
Here, D lives on the topmost floor.