Eight persons viz. P, Q, R, S, T, U, V and W are living in an eight story building, but not necessarily in same order.  The lower most floor is numbered 1 and the floor immediately above is numbered 2 and so on.  U lives on the lower most floor.  Three persons live between U and Q.  W lives adjacent to Q.  P lives between V and S but there is no floor gap between them.  T lives on floor 3.  V doesn't live adjacent to Q.

On which of the following floor does Q live?

5th Floor