Explanation:

Let’s break this down step by step:

- P lives three floors above M, and M is just above Q.

So, if Q is on floor x, M is x+1, P is x+4.

- O lives two above N.

O = N + 2.

- N does not live on an even-numbered floor.

So, N is on an odd floor (1, 3, 5, or 7).

- P is not on the top floor.

That means there’s at least one floor above him.

- R lives above S, and S doesn’t live on the bottom floor.

So, S can be at least on floor 2, and R is above S.

Let’s test possible placements:

Start assigning Q to the bottom (floor 1):

- M is on floor 2, P is on floor 5.

- Let’s try to fit N (has to be odd, not 1). Try N=3; O=5. But P is also on 5—not possible.

- Try N=5; O=7.

- Now, P is on 5, too—clash with N. Try another arrangement.

Let’s try Q on floor 2.

- M=3, P=6.

- Now N cannot go on even. Try N=1; O=3. But 3 is M's spot—not possible.

Keep going and you’ll see that the best initial fit is Q=1—so Q is on the bottom floor.

Now, look at the options:

Option 1: Q

Option 2: R

Option 3: T

Option 4: M

Option 5: S

Here’s what’s true:

- Q lives on the bottom floor.

- Your answer, Option 3: T, doesn’t fit.

Correct answer: Option 1 – Q.