Study the following information carefully and answer the questions given below.
Eight persons – P, Q, R, S, T, U, V and W sit around a circular table facing the centre, but not necessarily in the same order.
Q sits two places away from S. Two persons sit between S and P who does not sit adjacent to Q. W sits second to the right of P. T and the one who sits opposite to W are immediate neighbours. As many persons sit between Q and W as between T and V. R sits third to the left of V.

Who among the following persons sits opposite to R?

The correct answer is Q (Option 4).

Let us step-by-step arrange the eight persons (P, Q, R, S, T, U, V, W) around a circular table facing the centre:

1. Total seats: 8 seats arranged around a circular table facing the centre (numbered 1 through 8 clockwise for reference, or considered symmetrically).

2. Positions of S, Q, and P:
- "Q sits two places away from S" means there is 1 person between Q and S.
- "Two persons sit between S and P who does not sit adjacent to Q."
Let us place P at position 1. Since W sits second to the right of P, W is at position 3 (clockwise).
Since 2 persons sit between S and P, S can be at position 4 or position 6.
If S is at position 4, then Q (which is 2 places away from S) could be at position 2 or 6. But P is at 1, and P is not adjacent to Q, so Q cannot be at 2 or 8. Also if S is at 4, Q at 6 is adjacent to neither. Let's check: P is at 1, W is at 3.

Let's place P at Seat 1.
- W sits 2nd to the right of P ⇒ W is at Seat 3.
- 2 persons sit between S and P:
Going clockwise: Seat 1 (P) → 2, 3 → Seat 4 (S).
Going counter-clockwise: Seat 1 (P) → 8, 7 → Seat 6 (S).
Since Q is 2 places away from S, Q is separated by 1 seat from S. Also, P (Seat 1) cannot be adjacent to Q, so Q cannot be at Seat 2 or Seat 8.

Case 1: S is at Seat 4
- Q is 2 places away from S ⇒ Q can be at Seat 2 or Seat 6.
- But Q cannot be adjacent to P (Seat 1), so Q cannot be at Seat 2.
- Thus, Q must be at Seat 6.

Let me check the remaining conditions for Case 1:
- "As many persons sit between Q and W as between T and V."
In Case 1: P is at 1, W is at 3, S is at 4, Q is at 6.
Between Q (6) and W (3):
Clockwise: 4, 5 (2 persons: S and the person at 5).
Counter-clockwise: 7, 8, 1, 2 (4 persons).
So there are 2 persons between Q and W (along the shorter path, or 2 vs 4).
- "T and the one who sits opposite to W are immediate neighbours."
Opposite to W (Seat 3) is Seat 7.
So T must be adjacent to Seat 7, meaning T can be at Seat 6 or Seat 8.
Since Seat 6 is occupied by Q, T must be at Seat 8.
- Now, number of persons between T (8) and V must equal number of persons between Q (6) and W (3), which is 2.
From T (8), moving 2 seats away gives Seat 5 (8 → 7, 6 → 5) or Seat 3 (which is already occupied by W).
So V must be at Seat 5.
- "R sits third to the left of V."
V is at Seat 5 (facing centre). Third to the left of Seat 5 is Seat 8 (5 → 6 → 7 → 8).
However, Seat 8 is already occupied by T. This creates a contradiction!

Case 2: S is at Seat 6
- Q is 2 places away from S ⇒ Q can be at Seat 4 or Seat 8.
- Since Q cannot be adjacent to P (Seat 1), Q cannot be at Seat 8.
- Thus, Q is at Seat 4.
So we have: P at 1, W at 3, Q at 4, S at 6.

- "T and the one who sits opposite to W are immediate neighbours."
Opposite to W (Seat 3) is Seat 7.
So T must be adjacent to Seat 7 ⇒ T can be at Seat 6 or Seat 8.
Since Seat 6 is occupied by S, T must be at Seat 8.

- "As many persons sit between Q and W as between T and V."
Q is at 4, W is at 3. They are immediate neighbours, so 0 persons sit between Q and W.
Therefore, 0 persons sit between T and V, which means V must be an immediate neighbour of T (Seat 8).
Neighbors of T (8) are Seat 1 (P) and Seat 7.
Since Seat 1 is occupied by P, V must be at Seat 7.

- "R sits third to the left of V."
V is at Seat 7 (facing centre). Third to the left of Seat 7 is:
1st to left: Seat 8
2nd to left: Seat 1
3rd to left: Seat 2
So R is at Seat 2.

- Now, the remaining vacant seat is Seat 5, which must be occupied by U.

Final Seating Arrangement (Clockwise around the table):
- Seat 1: P
- Seat 2: R
- Seat 3: W
- Seat 4: Q
- Seat 5: U
- Seat 6: S
- Seat 7: V
- Seat 8: T

Finding the person opposite to R:
R is at Seat 2. The seat directly opposite to Seat 2 is Seat 6 (2 + 4 = 6, or 2 opposite 6).
Wait, let's re-check the opposite pairs in an 8-seater circular table:
- Seat 1 is opposite Seat 5 (P is opposite U)
- Seat 2 is opposite Seat 6 (R is opposite S? Wait, let's check Q at Seat 4 opposite Seat 8, Seat 3 opposite Seat 7 (W opposite V)).
Wait! Let's re-examine: R is at Seat 2, opposite to Seat 6 (S) or Seat 4 (Q)?
Let's check 1 to 8 circular seats:
1 - 2 - 3 - 4 - 5 - 6 - 7 - 8
Opposite pairs:
1 & 5
2 & 6
3 & 7
4 & 8

Wait, let's re-verify the counter-clockwise direction for "3rd to the left":
Facing centre:
Right is counter-clockwise, Left is clockwise.
Let's re-verify directions:
If facing centre:
- Clockwise is LEFT.
- Counter-clockwise is RIGHT.
Let's re-assign with standard facing centre convention:
- Seat 1: P
- W sits 2nd to the right of P ⇒ W is counter-clockwise, so Seat 7.
Let's set standard positions:
Let P = 1.
Facing centre: Right = counter-clockwise (1 → 8 → 7 → ...), Left = clockwise (1 → 2 → 3 → ...).
- W is 2nd to right of P ⇒ W = 7.
- 2 persons between S and P ⇒ S = 4 or 6.
If S = 4:
- Q is 2 places from S ⇒ Q = 2 or 6.
- Q not adjacent to P (1) ⇒ Q ≠ 2, so Q = 6.
- Persons between Q (6) and W (7) = 0.
- So persons between T and V = 0 ⇒ T and V are adjacent.
- Opposite to W (7) is Seat 3.
- T is adjacent to 3 ⇒ T = 2 or 4.
- Since S = 4, T = 2.
- T (2) and V are adjacent ⇒ V = 3 (since 1 is P).
- R is 3rd to left of V (3). Left is clockwise (3 → 4 → 5 → 6) ⇒ R = 6.
- But Q is at 6! Contradiction.

Now let's check S = 6:
- Q is 2 places from S (6) ⇒ Q = 4 or 8.
- Q not adjacent to P (1) ⇒ Q ≠ 8, so Q = 4.
- Persons between Q (4) and W (7): 2 persons (5, 6).
- So persons between T and V = 2.
- Opposite to W (7) is 3.
- T is adjacent to 3 ⇒ T = 2 or 4.
- Since Q is at 4, T must be at 2.
- 2 persons between T (2) and V:
Going clockwise: 2 → (3, 4) → V = 5.
Going counter-clockwise: 2 → (1, 8) → V = 7 (occupied by W).
So V = 5.
- R is 3rd to the left of V (5):
Left is clockwise: 5 → 6 (1st) → 7 (2nd) → 8 (3rd).
So R = 8.
- The remaining person U is at 3.

Let's verify all conditions for this arrangement:
1. P = 1
2. R = 8
3. W = 7
4. Q = 4
5. U = 3
6. S = 6
7. V = 5
8. T = 2

Checking conditions:
- Eight persons facing centre: P(1), T(2), U(3), Q(4), V(5), S(6), W(7), R(8).
- Q(4) sits two places away from S(6) [1 person U/V between them? No, Seat 5 is V, so 1 person V between Q(4) and S(6)]. Correct!
- Two persons sit between S(6) and P(1) [Seats 7, 8: W, R]. Correct!
- P(1) does not sit adjacent to Q(4). Correct!
- W(7) sits second to right of P(1) [Right is counter-clockwise: 1 → 8 → 7]. Correct!
- Opposite to W(7) is U(3). T(2) is immediate neighbour of U(3). Correct!
- Persons between Q(4) and W(7) = 2 persons (V, S).
- Persons between T(2) and V(5) = 2 persons (U, Q). Correct!
- R(8) sits third to the left of V(5) [Left is clockwise: 5 → 6 → 7 → 8]. Correct!

Conclusion:
- R is at Seat 8.
- The person sitting opposite to R (Seat 8) is at Seat 4, which is Q.