Question
Download Solution PDFEight person Ava, Jade, Jacob, Stella, Elias, Sofia, Austin and Luke live on eight different floors in a building. The floors are numbered from bottom as first, second and so on till eighth. Only Ava lives on the floor between Luke and Sofia. Austin lives exactly two floors below Elias. No one lives above Jacob who lives five floors above Jade. Stella lives on the floor immediately below Austin. Sofia lives on some floor above Luke. Who lives two floors above Jade?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFAs per the given information,
1) No one lives above Jacob who lives five floors above Jade.
| 8 | Jacob |
| 7 | |
| 6 | |
| 5 | |
| 4 | |
| 3 | Jade |
| 2 | |
| 1 |
2) Austin lives exactly two floors below Elias.
3) Stella lives on the floor immediately below Austin.
| 8 | Jacob |
| 7 | |
| 6 | |
| 5 | |
| 4 | Elias |
| 3 | Jade |
| 2 | Austin |
| 1 | Stella |
4) Only Ava lives on the floor between Luke and Sofia.
5) Sofia lives on some floor above Luke.
| 8 | Jacob |
| 7 | Sofia |
| 6 | Ava |
| 5 | Luke |
| 4 | Elias |
| 3 | Jade |
| 2 | Austin |
| 1 | Stella |
Here, we can see that Luke is two floors above Jade.
Hence, the correct answer is "Luke".
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