Six persons live in a three-storey building. Floor 2 is immediately below floor 2, and immediately above floor 1. 
Each floor consists of two flats- Flat A and Flat B. Flat A is towards the west of Flat B. 
Two persons live between P and R's floor.
P and R do not live in the same flat.
 | Case 1 |   | Case 2 |   | Case 3 |   | Case 4 |   | 
| Floor 3 | P |  |  | P | R |  |  | R | 
| Floor 2 |  |  |  |  |  |  |  |  | 
| Floor 1 |  | R | R |  |  | P | P |  | 
|   | Flat A | Flat B | Flat A | Flat B | Flat A | Flat B | Flat A | Flat B | 
T lives below S. 
Q live immediately below S in the same flat.
So, S lives on the third floor. 
 | Case 1 |   | Case 2 |   | Case 3 |   | Case 4 |   | 
| Floor 3 | P | S | S | P | R | S | S | R | 
| Floor 2 |  | Q | Q |  |  | Q | Q |  | 
| Floor 1 |  | R | R |  |  | P | P |  | 
|   | Flat A | Flat B | Flat A | Flat B | Flat A | Flat B | Flat A | Flat B | 
T lives below U and S. 
 | Case 1 |   | Case 2 |   | Case 3 |   | Case 4 |   | 
| Floor 3 | P | S | S | P | R | S | S | R | 
| Floor 2 | U | Q | Q | U | U | Q | Q | U | 
| Floor 1 | T | R | R | T | T | P | P | T | 
|   | Flat A | Flat B | Flat A | Flat B | Flat A | Flat B | Flat A | Flat B | 
U does not live in flat B. So, case 2 and 4 cancelled. 
U does not live below R's floor. So, case 3 cancelled. 
 | Case 1 |   | 
| Floor 3 | P | S | 
| Floor 2 | U | Q | 
| Floor 1 | T | R | 
|   | Flat A | Flat B | 
This is the final arrangement.
T lives on the floor 1 and Q lives on the floor 2. So, no one lives between the floor of T and Q.