Question
Download Solution PDFA, 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 is numbered 2 and so on, till the topmost floor that is numbered 6. C lives on an even-numbered floor but not 6. The sum of floors on which F and C live is 9. The sum of floors on which C and B live is 5. D lives immediately below A.
How many people live below A?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven: 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 is numbered 2 and so on, till the topmost floor that is numbered 6.
1) C lives on an even-numbered floor but not 6.
2) The sum of floors on which F and C live is 9.
| Floor | Person |
| 6 | |
| 5 | F |
| 4 | C |
| 3 | |
| 2 | |
| 1 |
3) The sum of floors on which C and B live is 5.
| Floor | Person |
| 6 | |
| 5 | F |
| 4 | C |
| 3 | |
| 2 | |
| 1 | B |
4) D lives immediately below A.
After positioning A and D only one position is left which will be occupied by the only person left i.e. E.
| Floor | Person |
| 6 | E |
| 5 | F |
| 4 | C |
| 3 | A |
| 2 | D |
| 1 | B |
Thus, according to the final arrangement two people live below A.
Hence, "Option 4" is the correct answer.
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