Eight persons – P, Q, R, S, T, U, V and W sit around a circular table facing the center but not necessarily in the same order.
S sits second to the right of U. Q sits adjacent to U. Only one person sits between S and W. T does not sit adjacent to W. T sits to the immediate left of P. R sits two persons away from P.

How many persons sit between S and P when counts from the left of P?

Correct Answer: The correct option is Four.

Step-by-step Explanation:

Let's analyze the given clues step-by-step to determine the seating arrangement of the eight persons (P, Q, R, S, T, U, V, W) around a circular table facing the center.

There are 8 positions around the table, numbered 1 to 8 in a clockwise direction for reference.

Step 1: Place U and S.

Clue: "S sits second to the right of U."

Since everyone is facing the center, counter-clockwise direction is to the right.

Let's place U at position 1. Then S, sitting second to the right of U, will be at position 3.

Step 2: Consider Q's position relative to U.

Clue: "Q sits adjacent to U."

So, Q can be at position 2 or position 8.

Step 3: Place W relative to S.

Clue: "Only one person sits between S and W."

Since S is at position 3, W can be at position 1 (which is already occupied by U, so not possible) or position 5.

Therefore, W must be at position 5.

Step 4: Place T and P.

Clue: "T does not sit adjacent to W."

Positions adjacent to W (position 5) are 4 and 6. So, T cannot be at 4 or 6.

Clue: "T sits to the immediate left of P."

Facing center implies immediate left is one position clockwise. So, P is immediately to the right (counter-clockwise) of T.

The available consecutive positions for (T, P) in counter-clockwise order are:

- If Q is at position 8: positions 8, 2, 4, 6, 7 are available for T, P, R, V.

Let's test position for T and P:

If T is at position 7 and P is at position 6 (moving clockwise for left, so T is immediate left of P means P is at 6 and T is at 7):

Let's verify direction: Facing center, clockwise is left and counter-clockwise is right.

T is to the immediate left of P means P's left (clockwise) is T. So T is clockwise next to P (i.e. P is at position x, T is at position x-1 or clockwise adjacent).

Let's check positions 1 to 8 clockwise:

1: U

3: S

5: W

Left of a seat (clockwise direction):

- S is 2nd to the right of U: U at 1, right is counter-clockwise -> 8 is 1st right, 7 is 2nd right? No, standard convention:

Let's set positions 1, 2, 3, 4, 5, 6, 7, 8 in clockwise order around the circle.

Facing center:

- Right is counter-clockwise (towards decreasing numbers: 1 -> 8 -> 7...).

- Left is clockwise (towards increasing numbers: 1 -> 2 -> 3...).

Let's re-verify with clockwise positions 1 to 8:

1. Place U at 1.

2. S sits 2nd to the right of U (counter-clockwise): S is at 7.

3. Only 1 person sits between S (7) and W: W can be at 5 or 1 (occupied by U). So W is at 5.

4. Q sits adjacent to U (1): Q is at 2 or 8.

5. T is not adjacent to W (5): T cannot be at 4 or 6.

6. T sits to immediate left of P: facing center, left is clockwise. So T is at P+1 (clockwise next to P).

7. R sits two persons away from P: means 1 person between R and P (or R is 2nd to left/right of P).

Let's test Q at 2:

Occupied: U=1, Q=2, W=5, S=7.

Empty: 3, 4, 6, 8.

T cannot be at 4 or 6 (adjacent to W=5). So T must be at 3 or 8.

Case A: T at 3.

T is immediate left of P -> P must be at 2 (occupied by Q) - invalid.

Case B: T at 8.

T is immediate left of P -> P must be at 7 (occupied by S) - invalid.

Thus Q cannot be at 2.

So Q must be at 8.

Occupied: U=1, S=7, W=5, Q=8.

Empty: 2, 3, 4, 6.

T cannot be at 4 or 6 (adjacent to W=5). So T must be at 2 or 3.

- If T is at 3: P must be at 2 (since T at 3 is immediate left of P at 2). This works!

- If T is at 2: P must be at 1 (occupied by U) - invalid.

So, T = 3, P = 2.

Now, R sits two persons away from P (position 2):

2 positions away from 2 means position 4 or 8 (8 is occupied by Q). So R must be at 4.

The remaining seat 6 is occupied by V.

Complete Seating Arrangement (Clockwise from 1 to 8):

1: U
2: P
3: T
4: R
5: W
6: V
7: S
8: Q

Answering the question:

We need to count how many persons sit between S (position 7) and P (position 2) when counting from the left of P.

Facing center, left of P (position 2) goes clockwise: 3 (T), 4 (R), 5 (W), 6 (V), leading to 7 (S).

The persons between P and S counting from P's left are T, R, W, and V.

Therefore, there are 4 persons (T, R, W, V) sitting between S and P.