Seven persons are sitting around a circular dining table facing towards the centre.

Given:
1. S is sitting to the immediate left of Y and third to the right of R.
2. R is sitting to the immediate left of A and immediate right of P.
3. A is sitting to the immediate left of D.
4. Q is sitting to the immediate left of P.

If D exchanges seat with Y and P with Q, then who is sitting to the immediate right of D?

Question

Seven persons are sitting around a circular dining table facing towards the centre.

Given:
1. S is sitting to the immediate left of Y and third to the right of R.
2. R is sitting to the immediate left of A and immediate right of P.
3. A is sitting to the immediate left of D.
4. Q is sitting to the immediate left of P.

If D exchanges seat with Y and P with Q, then who is sitting to the immediate right of D?

Accepted Answer

**Solution:**

1. Let's denote the seven persons as: P, Q, R, S, Y, A, D.

2. They are sitting around a circular table facing the centre.

3. From the given clues:

- S is to the immediate left of Y and third to the right of R.
   - R is immediate left of A and immediate right of P.
   - A is immediate left of D.
   - Q is immediate left of P.

4. Since all are facing the centre, immediate left means one seat counterclockwise, immediate right means one seat clockwise.

5. Let's arrange step-by-step:

- From clue 2: R is immediate left of A and immediate right of P.
     So, the order clockwise is P - R - A.

- From clue 3: A is immediate left of D.
     So, clockwise order: D - A.

- From clue 4: Q is immediate left of P.
     So, clockwise order: Q - P.

6. Combining these partial orders:

- Q - P - R - A - D

7. From clue 1: S is immediate left of Y and third to the right of R.

- Immediate left of Y means S is one seat counterclockwise from Y.
   - Third to the right of R means counting three seats clockwise from R, we reach S.

8. Let's place Y and S:

- Since we have 7 seats, and already placed Q, P, R, A, D in order: Q - P - R - A - D

- Remaining are Y and S.

9. Let's try to place Y and S between D and Q to complete the circle:

- Current order clockwise: Q - P - R - A - D

- Seats left: two seats between D and Q.

10. Place Y and S such that S is immediate left of Y (S is counterclockwise to Y), and S is third to the right of R.

- Let's try order: Q - P - R - A - D - Y - S - back to Q

- Check if S is immediate left of Y:
     - S is immediate left of Y means S is one seat counterclockwise from Y.
     - In this order, clockwise: D - Y - S - Q
     - So, immediate left of Y is S (since facing center, immediate left is counterclockwise), so yes.

- Check if S is third to the right of R:
     - From R, count three seats clockwise:
       1st: A
       2nd: D
       3rd: Y
     - But S is after Y, so S is fourth to the right of R, not third.

11. Try swapping Y and S:

- Order: Q - P - R - A - D - S - Y - back to Q

- Immediate left of Y is S?
     - Clockwise order: D - S - Y - Q
     - Immediate left of Y (counterclockwise) is S, yes.

- Third to the right of R:
     - From R, count three seats clockwise:
       1st: A
       2nd: D
       3rd: S
     - S is third to the right of R, correct.

12. So final order clockwise:

Q - P - R - A - D - S - Y - back to Q

13. Now, according to the question, D exchanges seat with Y and P with Q.

- D and Y swap seats:
     - D moves to Y's seat (7th seat), Y moves to D's seat (5th seat)

- P and Q swap seats:
     - P moves to Q's seat (1st seat), Q moves to P's seat (2nd seat)

14. New order clockwise after swaps:

- Original seats: 1: Q, 2: P, 3: R, 4: A, 5: D, 6: S, 7: Y

- After swaps:
     1: P (was Q's seat)
     2: Q (was P's seat)
     3: R
     4: A
     5: Y (was D's seat)
     6: S
     7: D (was Y's seat)

15. Now, find who is immediate right of D.

- D is now at seat 7.

- Immediate right means one seat clockwise.

- After seat 7 comes seat 1 (circular table).

- Seat 1 is occupied by P.

**Answer:** P

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