Directions (5-9): Study the following information carefully and answer the given questions.

In a building there are certain number of floors each floor has two flats i.e.; flat A is to the west of flat B. U lives on an odd numbered floor but below 7th floor. T lives two floors below U. X lives to the south west of T but not just south west. Three floors gap between S and T. X and S lives in the same named flat. The number of floors between S and X is two more than the numbers of floor between S and R. No one lives to the east of R. J lives to the immediate north west of R. The number of floors below X is same as the number of floors above O who lives just above R floors. K lives two floors below O’s flat. Only one floor gap between W and Q. W lives exactly between the S and U’s floor. S and T didn’t live on the adjacent floor. P lives to the north west of Q and lives on an even numbered floor. P and W live in different named flats. Q lives above S. W and U live in different named flat.

How many flats are there in the building?

The correct answer is 24.

Let us determine the number of floors and flats in the building step-by-step based on the given clues:

Step 1: Determine the positions of U, T, and X
- Each floor has two flats: Flat A (West) and Flat B (East).
- U lives on an odd-numbered floor below the 7th floor, so U can be on floor 5, 3, or 1.
- T lives two floors below U. This means if U is on floor 5, T is on floor 3. If U is on floor 3, T is on floor 1. U cannot be on floor 1 because T lives below U.
- X lives to the south-west of T but not just south-west (not on the immediate floor below T). Since Flat A is to the west of Flat B, T must be in Flat B and X must be in Flat A on a lower floor.
- If U were on floor 3 and T on floor 1, there would be no floor below T for X to occupy. Thus, U must be on floor 5 and T must be on floor 3 (Flat B).
- Since X is south-west of T but not adjacent, X cannot be on floor 2. Therefore, X must live on floor 1 (Flat A).

Step 2: Find the positions of S and R
- There is a three-floor gap between S and T. Since T is on floor 3, S must be on floor 7 (floors 4, 5, and 6 are between them).
- X and S live in the same named flat. Since X is in Flat A, S is also in Flat A (floor 7, Flat A).
- The number of floors between S (floor 7) and X (floor 1) is 5 (floors 2, 3, 4, 5, and 6).
- According to the clue, the number of floors between S and X (which is 5) is two more than the number of floors between S and R.
Number of floors between S and R = 5 - 2 = 3 floors.
- Since there are 3 floors between S and R, R can be either on floor 3 or floor 11.
- "No one lives to the east of R" means R lives in Flat B.

Step 3: Find the position of O and the total number of floors
- O lives just above R's floor.
- The number of floors below X (floor 1) is 0.
- The number of floors below X is the same as the number of floors above O. Therefore, there are 0 floors above O, making O's floor the topmost floor of the building.
- If R were on floor 3, O would be on floor 4, making floor 4 the topmost floor. But S is already on floor 7, which is a contradiction. Therefore, R must be on floor 11, and O must be on floor 12.
- Since O is on floor 12 and it is the topmost floor, the building has a total of 12 floors.

Step 4: Calculate the total number of flats
Since the building has 12 floors and each floor has 2 flats (Flat A and Flat B):
Total number of flats = 12 × 2 = 24.