Study the following information carefully and answer the questions given below.

Nine persons K, J, Y, R, D, L, X, P and S sit around a circular table but not necessarily in the same order. All of them are facing away from the centre of the table. K sits 3rd to the left of J. One person sits between K and X. Two persons sit between K and L. D sits immediately right of R and both of them are not adjacent to L. At least three persons sit between P and Y (both from left or right) . Y is not adjacent to S.

Who among the following sits to the immediate right of D?

To determine who sits to the immediate right of D, let us analyze the given information step-by-step to determine the seating arrangement of the nine persons around the circular table facing away from the centre.

1. Understanding the Circular Table Setup:
- Total number of persons = 9.
- Direction faced = Facing away from the centre (Facing outwards).
- Note: When facing away from the centre, clockwise corresponds to Left and counter-clockwise corresponds to Right (or vice versa, but consistently: "Left" goes clockwise around the circle, "Right" goes counter-clockwise).

2. Deductive Step-by-Step Placement:
- Placement of J and K:
K sits 3rd to the left of J. Let us assign position numbers 1 through 9 in a clockwise direction.
Place J at Position 1. Moving 3 steps clockwise (to the left of J):
Position 2, Position 3, Position 4 → K is at Position 4.

- Placement of X:
One person sits between K (Position 4) and X. So, X can be at Position 2 or Position 6.
Let us analyze the possibilities for X and L.

- Placement of L:
Two persons sit between K (Position 4) and L.
So, L could be at Position 1 (going counter-clockwise/right) or Position 7 (going clockwise/left).
Since J is already at Position 1, L MUST be at Position 7.

- Placement of D and R:
D sits immediately right of R. Since everyone faces outwards, "immediately right of R" means D is placed adjacent to R in the counter-clockwise direction.
Both D and R are not adjacent to L (Position 7). Thus, D and R cannot occupy Positions 6, 7, or 8.
Available positions for the contiguous pair (R, D) such that D is to the immediate right of R are Positions 2 and 3, or Positions 3 and 4 (taken by K), or Positions 8 and 9.
Since Positions 6, 7, 8 are restricted for D and R, R cannot be at 8. Thus, R and D must occupy Positions 2 and 3 respectively (R at Position 2, D at Position 3).

Since R is at Position 2, X (which was either 2 or 6) must be at Position 6.

- Current Positions Summary:
Position 1: J
Position 2: R
Position 3: D
Position 4: K
Position 5: Empty (S / P / Y)
Position 6: X
Position 7: L
Position 8: Empty (S / P / Y)
Position 9: Empty (S / P / Y)

- Placing remaining persons P, Y, and S:
The remaining available positions are 5, 8, and 9.
Condition: "At least three persons sit between P and Y (both from left or right)".
In a 9-person circular arrangement, sitting with at least 3 persons between P and Y means P and Y must be separated by 3 or 4 positions along the circle.
Position 5 and Position 9 have 3 persons between them (Positions 6, 7, 8 on one side, and Positions 1, 2, 3, 4 on the other side = 4 persons).
So P and Y must occupy Positions 5 and 9.
This leaves Position 8 for S.

Condition: "Y is not adjacent to S".
S is at Position 8. Since Position 9 is adjacent to Position 8, Y cannot be at Position 9.
Therefore, Y is at Position 5, and P is at Position 9.

3. Final Seating Order (Clockwise / Facing Outwards):
Position 1: J
Position 2: R
Position 3: D
Position 4: K
Position 5: Y
Position 6: X
Position 7: L
Position 8: S
Position 9: P

4. Finding the Person to the Immediate Right of D:
D is at Position 3. Facing away from the centre, the immediate right of D corresponds to the counter-clockwise adjacent position, which is Position 1.
Position 1 is occupied by J.

Thus, J sits to the immediate right of D.

The correct answer is J.