Common Solution:
P, Q, R, S, T, U, V, W, X and Y are placed one above the other in a stack, but not necessarily in the same order. At most, three boxes are placed below Q. Y is placed immediately below Q. So, three cases are possible i.e., Case 1, Case 2 and Case 3.
| Case 1: | Case 2: | Case 3: | 
|  |  |  | 
|  |  |  | 
|  |  |  | 
|  |  |  | 
|  |  |  | 
|  |  |  | 
| Q |  |  | 
| Y | Q |  | 
|  | Y | Q | 
|  |  | Y | 
Two boxes are placed between Y and X. S is placed immediately above X. Four boxes are placed between S and R. P is placed immediately below R. So, Case 2 will be invalid.
| Case 1: | Case 3: | 
|  | R | 
|  | P | 
|  |  | 
| S |  | 
| X |  | 
|  | S | 
| Q | X | 
| Y |  | 
| R | Q | 
| P | Y | 
T is placed immediately below V and immediately above W. Two boxes are placed between W and U. R is placed below Y. So, Case 3 will be invalid.
Finally, we get,
Four boxes are placed between X and P.