The correct answer is Option (4) → (A) and (C) only
Let's map out the positions of the six people around the circular table based on the given clues.
Step-by-Step Logic
- Set a starting point: Let's place T at the top position (let's call it position 1).
- S is second to the left of T: In a circular arrangement facing inward, "left" is clockwise. Therefore, S is at position 3.
- R is seated next to T: This gives us two possibilities for R: position 2 or position 6.
- P is sitting between U and R: This means P, U, and R must be in a consecutive block.
- Scenario A: If R is at position 2, then P would be at position 3. But S is already at position 3. So, R cannot be at position 2.
- Scenario B: If R is at position 6, then P must be at position 5 and U must be at position 4 (to keep P between U and R).
- Place the remaining person: The only person left is Q, and the only empty spot is position 2.
The Final Seating Order (Clockwise)
- Pos 1: T
- Pos 2: Q
- Pos 3: S
- Pos 4: U
- Pos 5: P
- Pos 6: R
Evaluating the Statements
- (A) P is seated opposite to Q: Yes. In a 6-person circle, position 2 is directly opposite position 5. True.
- (B) U is seated adjacent to T: No. U is at position 4, and T is at position 1. They are separated by Q or P/R. False.
- (C) R is seated third to the left of S: Yes. Counting clockwise from S (pos 3): 1st left is U, 2nd left is P, 3rd left is R. In a circle of 6, "third to the left" is the same as "opposite." True.
- (D) Q and T are not neighbors: False. Q is at position 2 and T is at position 1; they are sitting right next to each other. False.
Since only (A) and (C) are true, the correct option is: (A) and (C) only |
