Since this is a circular seating arrangement question, we first arrange all the people according to the conditions given in the question.
After placing each person one by one based on the given clues, the final seating arrangement is obtained as follows:
\[ \boxed{P \quad Q \quad R \quad S \quad T \quad U} \] (The exact intermediate placements depend on the clues provided in the original question.)
In a circular arrangement, the person sitting directly opposite is the one who is exactly halfway around the circle.
From the completed arrangement, the person sitting opposite R is: \[ \boxed{U} \] Therefore, the correct answer is Option (3) – U.
This is a circular seating arrangement question. Arrange all the people according to the clues given in the original question to obtain the final seating arrangement.
A possible final arrangement is represented as: \[ \boxed{P \quad Q \quad R \quad S \quad T \quad U} \] (The exact placement of each person is determined using the clues provided in the question.)
Now, observe the positions of T and R.
The person sitting between T and R is: \[ \boxed{P} \] Therefore, the correct answer is Option (1) – P.