Question
Download Solution PDF 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.
A lives on a floor which is a prime number. The product of floors on which A and E live is 3. Only 2 people live above B. F lives immediately below C. How many people live between D and F?
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, number 2 and so on till the topmost floor is numbered 6.
1) A lives on a floor which is a prime number.
2) The product of floors on which A and E live is 3.
The only two floor numbers whose product is 3 are 1 and 3. Since A lives on a prime number floor, A must live on floor 3, and E must live on floor 1.
3) Only 2 people live above B.
| Floor 6 | |
| Floor 5 | |
| Floor 4 | B |
| Floor 3 | A |
| Floor 2 | |
| Floor 1 | E |
4) F lives immediately below C.
The only consecutive empty floors are 5 and 6. So C lives on Floor 6 and F lives on Floor 5.
The remaining person is D, who must live on the remaining empty floor, which is Floor 2.
| Floor 6 | C |
| Floor 5 | F |
| Floor 4 | B |
| Floor 3 | A |
| Floor 2 | D |
| Floor 1 | E |
Thus, two people live between D and F.
Hence, the correct answer is "Option 1".
Last updated on Jul 19, 2025
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