Floor puzzle · solved example
Who among the following lives on the lowest floor?
- PCorrect
- Q
- R
- T
- U
Solution
S takes floor 6, so T, being on an even floor, is on 2 or 4. Suppose T is on 2. Two people between T and P puts P on 5, leaving floors 1, 3 and 4 for Q, R and U. The only way R sits immediately above Q there is Q on 3 and R on 4, which forces U onto floor 1 and breaks the last clue. So T is on 4, which puts P on 1 with Q and R between them. That leaves 2, 3 and 5, where R immediately above Q means Q on 2 and R on 3, and U takes 5. The arrangement is P, Q, R, T, U, S from floor 1 upward, so P is lowest.