Explanation:

Let’s break it down step by step.

- Seven people (M, N, O, P, Q, R, S) on floors 1 to 7.

- N lives two floors above R. So if R is floor x, N is x+2.

- M does not live on prime-numbered floors (2, 3, 5, 7).

- Three persons between R and P. That means if R is on 2, P is on 6; or vice versa, but gap is always three floors in between.

- O is just above S.

- P lives on a prime floor (so, 2, 3, 5 or 7).

- Q lives above M.

Let's see what fits together:

- Choose R as floor 1 (lowest). N becomes floor 3.

- Now, three between R (1) & P (5). So P = 5.

- P is on 5, which is prime. Statement fits.

- Now M can't be on 2, 3, 5, or 7 (all primes). So M = 1, 4, or 6.

- But R already on 1; can't overlap.

- So, try M = 4 or M = 6.

- Q lives above M. So Q = 5, 6, or 7. But P = 5, so try M = 4: Q = 5, 6, or 7. But 5 is occupied by P, so Q could be on 6 or 7.

- O is just above S, so those two go together somewhere.

Now let's fill:

1. R

2.

3. N

4. M

5. P

6. Q

7.

M = 4, Q = 6

Left: O, S

Who’s three above R? R = 1, So 4. Floor 4 is M.

Answer options recap:

1. Q

2. O

3. M

4. N

5. P

So, three floors above R is M.

Correct Option is: Option 3, M

- The statements tie together with each clue, so order makes sense.

- M is three floors above R.

- Q is one of the top floors above M.

- O and S must go in remaining spots, with O just above S.

That’s the logical placement!