Who among the following lives in flat M on floor 3?

**Note:**
1) At least two but not more than three persons live on each floor. The adjacent flats are not vacant. Adjacent flats are immediate left, immediate right, immediately above and immediately below.
2) If it is given that A lives immediately above/immediately below B's flat then either a vacant flat is between A and B or there is no vacant flat (no floor) between A and B.

W lives to the east of U but neither in flat K nor in flat M. Only one floor gap is between W and P who lives to the west of S but not just west. U and P live in different named flats. R lives above S and adjacent to one of the vacant flats. R and W live in different named flats. O lives to the west of R and east of V. Q lives immediately below O’s flat. T lives to the east of Q. Only one floor gap between T and Y. T lives immediately above Y’s flat. Z lives just northwest of X.

Question

Who among the following lives in flat M on floor 3?

**Note:**
1) At least two but not more than three persons live on each floor. The adjacent flats are not vacant. Adjacent flats are immediate left, immediate right, immediately above and immediately below.
2) If it is given that A lives immediately above/immediately below B's flat then either a vacant flat is between A and B or there is no vacant flat (no floor) between A and B.

W lives to the east of U but neither in flat K nor in flat M. Only one floor gap is between W and P who lives to the west of S but not just west. U and P live in different named flats. R lives above S and adjacent to one of the vacant flats. R and W live in different named flats. O lives to the west of R and east of V. Q lives immediately below O’s flat. T lives to the east of Q. Only one floor gap between T and Y. T lives immediately above Y’s flat. Z lives just northwest of X.

Accepted Answer

**Solution:**

Let's analyze the clues step-by-step to find who lives in flat M on floor 3.

1. **General conditions:**
   - Each floor has 2 or 3 persons.
   - Adjacent flats are not vacant.
   - Adjacent flats include immediate left, right, above, and below.
   - If A lives immediately above/below B, either a vacant flat is between them or no vacant flat (no floor) between them.

2. **Given clues:**
   - W lives east of U but not in flats K or M.
   - One floor gap between W and P.
   - P lives west of S but not just west (so at least one flat gap).
   - U and P live in different flats.
   - R lives above S and adjacent to a vacant flat.
   - R and W live in different flats.
   - O lives west of R and east of V.
   - Q lives immediately below O.
   - T lives east of Q.
   - One floor gap between T and Y.
   - T lives immediately above Y.
   - Z lives just northwest of X.

3. **Deductions:**
   - Since T lives immediately above Y with one floor gap between them, T must be on floor 3 and Y on floor 1 (floor 2 is gap).
   - T lives east of Q, and Q lives immediately below O, so O is on floor 3, Q on floor 2, T on floor 3.
   - R lives above S and adjacent to a vacant flat, so R is on floor 3 or higher, S below.
   - W lives east of U, but not in flats K or M.
   - Z lives just northwest of X, so Z is on a higher floor and to the west of X.

4. **Flat M on floor 3:**
   - Since T lives immediately above Y and T is east of Q, and T is on floor 3, T is likely in flat M on floor 3.

**Answer:** (b) T

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