O, P, Q, R, S and T are sitting around a circular table facing the centre (not necessarily in the same order). Given the following conditions:

- P sits second to the left of T.
- S sits third to the right of Q.
- Q is not an immediate neighbour of P.
- O sits second to the right of S.

Question: Which of the following represents the position of O with respect to R?

Question

O, P, Q, R, S and T are sitting around a circular table facing the centre (not necessarily in the same order). Given the following conditions:

- P sits second to the left of T.
- S sits third to the right of Q.
- Q is not an immediate neighbour of P.
- O sits second to the right of S.

Question: Which of the following represents the position of O with respect to R?

Accepted Answer

**Solution:**

1. There are 6 persons: O, P, Q, R, S, T sitting around a circular table facing the centre.

2. Since all are facing the centre, the directions left and right are from each person's perspective facing the centre.

3. Given conditions:
   - P sits second to the left of T.
   - S sits third to the right of Q.
   - Q is not an immediate neighbour of P.
   - O sits second to the right of S.

4. Let's place T at any position (say position 1) to start:

Positions around the table (clockwise): 1, 2, 3, 4, 5, 6

5. Since everyone faces the centre, the left of a person is the next position counterclockwise, and right is clockwise.

6. P sits second to the left of T:
   - From T (pos 1), moving left (counterclockwise): pos 6 (first left), pos 5 (second left)
   - So, P is at position 5.

7. S sits third to the right of Q:
   - Right means clockwise.
   - Let Q be at position x, then S is at position (x + 3) mod 6.

8. Q is not an immediate neighbour of P (P is at pos 5), so Q cannot be at positions 4 or 6.

9. O sits second to the right of S:
   - From S's position, move two steps clockwise to find O.

10. Now, let's try possible positions for Q:

- Q cannot be 4 or 6 (neighbours of P at 5).
    - Possible Q positions: 1, 2, 3

- Q cannot be 1 because T is at 1.

- So, Q can be 2 or 3.

11. Try Q at position 2:

- S is third to right of Q:
      From 2, third right is (2 + 3) = 5 (mod 6), which is position 5.
      But position 5 is occupied by P.
      So, Q cannot be at 2.

12. Try Q at position 3:

- S is third to right of Q:
      (3 + 3) = 6 (mod 6), so position 6.
      So, S is at position 6.

13. O sits second to right of S:
    - From S at 6, second right is (6 + 2) = 2 (mod 6), so position 2.
    - O is at position 2.

14. Now, the positions are:
    - T: 1
    - O: 2
    - Q: 3
    - R: 4 (only position left)
    - P: 5
    - S: 6

15. Question: Position of O with respect to R?
    - R is at position 4.
    - O is at position 2.

16. From R's perspective (facing centre):
    - Positions clockwise from R (pos 4): 5 (1st right), 6 (2nd right), 1 (3rd right), 2 (4th right)
    - Positions counterclockwise from R (pos 4): 3 (1st left), 2 (2nd left), 1 (3rd left), 6 (4th left)

17. O is at position 2, which is second to the left of R.

**Answer:** Second to the left

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