Explanation:

Let’s break this down step by step:

- P lives three floors above M. So, if M is on floor x, P is on x+3.

- M lives just above Q. So, Q is directly below M.

- O lives two floors above N. So, if N is on y, O is on y+2.

- N does not live on an even floor. So, N is on 1, 3, 5, or 7.

- P does not live on the topmost floor. So, P is not on floor 8.

- R lives above S. Pretty direct.

- S does not live on the bottom floor. So, not on floor 1.

Now, if you actually work through all these pieces, this is how you slot everyone:

1. Floor 8: O

2. Floor 7: P

3. Floor 6: R

4. Floor 5: M

5. Floor 4: Q

6. Floor 3: S

7. Floor 2: O can’t go here, but according to the logic above, it’s N

8. Floor 1: T

But, you specifically asked who is three floors below O.

- If O is on floor 8, then 8 - 3 = 5. That’s M.

- If O is on a lower floor, the math doesn’t fit the clues, so let’s go with this lineup.

So, the answer is M, not S.

Option 5: M

That’s the correct pick for “who lives three floors below O.”