If all the persons are made to live in alphabetical order from top to bottom, then who among the following persons remains unchanged in his position?
Q
V
T
W
No one
Solution
Final arrangement
| Floors | Persons |
| 8 | Q |
| 7 | U |
| 6 | T |
| 5 | P |
| 4 | R |
| 3 | V |
| 2 | W |
| 1 | S |
We have,
- T lives on an even-numbered floor but above the floor numbered five.
- Only three persons live between W and T.
From the above conditions, there are two possibilities
| Case-1 | Case-2 | |
| Floors | Persons | Persons |
| 8 | T | |
| 7 | ||
| 6 | T | |
| 5 | ||
| 4 | W | |
| 3 | ||
| 2 | W | |
| 1 |
Again we have,
- The number of floors above W is one less than the number of floors below Q .
- P lives three persons below Q .
- R lives immediately above V .
| Case-1 | Case-2 | |
| Floors | Persons | Persons |
| 8 | Q | T |
| 7 | ||
| 6 | T | Q |
| 5 | P | |
| 4 | R | W |
| 3 | V | P |
| 2 | W | R |
| 1 | V |
Again we have,
- S does not live adjacent to Q.
From the above condition case-2 gets eliminated because S does not live adjacent to Q is not satisfied.
Hence, case 1 shows the final arrangement.
