Study the following information carefully and answer the questions given below-

Ten persons P to Y live in 10 storey building but not necessarily in the same order. The bottommost floor is numbered as 1 and so on till the topmost floor is numbered as 10.

V lives on prime numbered floor but below 4th floor. S lives below V but not on the ground floor. There are as many persons live above S as below P. More than three persons live between P and Y who lives above X. One person lives between T and Y. W lives just below R. U does not live below Q.

The numbers of persons live between R and Y is half than the numbers of persons live below _____________.

Correct Answer: Option W

Let's analyze the given clues step-by-step to determine the floor arrangement of the ten persons (P, Q, R, S, T, U, V, W, X, and Y) on the 10 floors (numbered 1 to 10 from bottom to top):

1. Find the positions of V and S:
- V lives on a prime-numbered floor below the 4th floor. The prime numbers below 4 are 2 and 3. So, V lives on either Floor 2 or Floor 3.
- S lives below V, but not on the ground floor (Floor 1).
- If V were on Floor 2, S would have to be on Floor 1, which is not allowed. Therefore, V must live on Floor 3, and S must live on Floor 2.

2. Find the position of P:
- There are as many persons living above S as below P.
- Since S lives on Floor 2, there are $10-2=8$ floors above S.
- This means there must be 8 floors below P. Thus, P lives on Floor 9.

3. Find the position of Y and X:
- More than three persons live between P and Y (which means at least 4 floors must be between them).
- Since P is on Floor 9, the possible floors for Y are Floor 4 or lower (with Floors 8, 7, 6, 5 between them).
- If Y were on Floor 3 or Floor 2, those floors are already occupied by V and S.
- If Y were on Floor 1, it could not live above X.
- Therefore, Y must live on Floor 4, and since Y lives above X, X must live on Floor 1.

4. Find the position of T:
- One person lives between T and Y.
- Since Y is on Floor 4, T can be on either Floor 6 or Floor 2.
- Since Floor 2 is occupied by S, T must live on Floor 6.

5. Find the positions of R and W:
- W lives just below R. This requires two consecutive empty floors.
- Currently, the occupied floors are: Floor 9 (P), Floor 6 (T), Floor 4 (Y), Floor 3 (V), Floor 2 (S), and Floor 1 (X).
- The only adjacent empty floors available are Floor 8 and Floor 7.
- Therefore, R lives on Floor 8, and W lives on Floor 7.

6. Find the positions of Q and U:
- The remaining empty floors are Floor 10 and Floor 5.
- U does not live below Q, which means U must live above Q.
- Therefore, U lives on Floor 10, and Q lives on Floor 5.

Final Floor Arrangement:
Floor 10: U
Floor 9: P
Floor 8: R
Floor 7: W
Floor 6: T
Floor 5: Q
Floor 4: Y
Floor 3: V
Floor 2: S
Floor 1: X

Solving the Question:
- The number of persons living between R (Floor 8) and Y (Floor 4) is 3 (namely W, T, and Q on floors 7, 6, and 5).
- This number (3) is half of the number of persons living below the target person.
- This means the number of persons living below the target person must be $3\times 2=6$.
- The person who has exactly 6 floors below them (Floors 1, 2, 3, 4, 5, and 6) lives on Floor 7.
- The person living on Floor 7 is W.