Question

Six persons P, Q, R, S, T and U are facing one another front to front. P is sitting in front of Q. Q is sitting to the right of T and left of R. P is to the left of U and right of S.
Who is sitting opposite to R?

• A. P
• B. Q
• C. S
• D. U

Hint:

Drawing a simple clock face is highly useful for circular seating arrangements with six people:
- Positions: 12, 2, 4, 6, 8, 10.
- Opposing pairs are always directly across from each other (12-6, 2-8, 10-4).

Answer 1

The Correct Option is D

Step 1: Understanding the Concept:
Seating arrangement problems require placing individuals in specific positions based on a set of relative spatial clues.
When six people face one another "front to front," they can be arranged either in two parallel rows of three or in a circular layout where everyone faces the center.
Let us model this as a circular arrangement facing the center, which mathematically represents "front to front" opposing pairs.

Step 2: Detailed Explanation:
Let us place the six individuals (P, Q, R, S, T, U) around a circular table facing the center:
1. Let us place P at the 12 o'clock position.
2. Since "P is sitting in front of Q", Q must be directly opposite P, which is at the 6 o'clock position.
3. "Q is sitting to the right of T and left of R":
Because everyone faces the center:
- At the 6 o'clock position (Q), looking toward the center, the right side is towards the 4 o'clock position, and the left side is towards the 8 o'clock position.
- If Q is to the right of T, then T must be placed at the 4 o'clock position.
- If Q is to the left of R, then R must be placed at the 8 o'clock position.
4. "P is to the left of U and right of S":
- At the 12 o'clock position (P), looking toward the center:
- P must be to the left of U, which places U at the 2 o'clock position.
- P must be to the right of S, which places S at the 10 o'clock position.
Let us verify all opposing pairs in this circular layout:
- P (12 o'clock) is opposite Q (6 o'clock).
- U (2 o'clock) is opposite R (8 o'clock).
- S (10 o'clock) is opposite T (4 o'clock).
The question asks: "Who is sitting opposite to R?"
Looking at our verified layout, the person sitting opposite to R (at the 8 o'clock position) is U (at the 2 o'clock position).

Step 3: Final Answer:
U is sitting opposite to R.
Therefore, the correct option is (D).