Explanation:

- We have eight people: M, N, O, P, Q, R, S, and T, and eight floors.

- M lives on the floor just above Q. Therefore, if Q is on floor x, M is on floor x+1.

- P lives three floors above M. Thus, if M is on floor y, P is on floor y+3.

- O is two floors above N. N must be on an odd floor because he does not live on an even-numbered floor.

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

- R is above S, and S does not live on the bottom floor.

By piecing together the information, we determine that:

- Let’s say N is on floor 1 (the only odd floors left being 3 and 5), then O is on floor 3.

- If Q is on floor 2, M is on floor 3, then P is on floor 6.

- So far, floors 2, 3, and 6 are occupied (not possible since O and M both on floor 3).

Assuming N is on floor 3:

- O lives on floor 5.

- Assign Q to floor 5, M to floor 6, and therefore P to floor 9. Error, too high.

- Re-evaluate P and place Q on floor 4, M on floor 5, P on floor 8.

- This setup places N correctly, and all positions logically work out.

- R could be on floor 7 and S on floor 4.

When this logical setup is created, only one plausible scenario arises:

- S = floor 4 and thus 4 floors are above S's floor.

- Option 2: Four.

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