Directions: Read the following details carefully to answer the question that follows.

Eight colleagues, P, Q, R, S, T, U, V, and W, are sitting around a circular conference table, all facing towards the center. T sits to the immediate left of S. Only two people sit between T and Q. P sits second to the right of Q. U sits adjacent to both P and Q. V sits opposite to T. R sits adjacent to V but does not sit adjacent to Q. W sits between R and S.

How many people sit between W and U?

Correct Answer: The correct option is Three.

Step-by-Step Explanation:

Let us arrange the eight colleagues (P, Q, R, S, T, U, V, W) around a circular table, all facing the center, step by step based on the given clues:

1. T sits to the immediate left of S:
If we place S at a position, T will be situated immediately to the left (clockwise direction when facing the center) of S.

2. Only two people sit between T and Q:
Moving from T in either direction, leaving 2 spots brings us to Q.

3. V sits opposite to T:
Since there are 8 positions in total, sitting opposite means there are 3 people between T and V on either side. So, V is directly across from T.

4. W sits between R and S, and R sits adjacent to V (but not adjacent to Q):
Since T is immediately to the left of S, placing W between S and R means S, W, and R form a contiguous block. R is placed adjacent to V.

5. P sits second to the right of Q, and U sits adjacent to both P and Q:
Placing U between P and Q satisfies that U is adjacent to both. P sits two spots away from Q in the counter-clockwise direction (to the right of Q).

Combining all the positions in circular order (moving clockwise around the table):
S → T → V → R → W → (or continuing around) S, T, P, U, Q, V, R, W

Let us check the circular order of all 8 positions clockwise:
Position 1: S
Position 2: T (immediate left of S when facing center, moving clockwise)
Position 3: P
Position 4: U
Position 5: Q (2 people between T and Q: P and U)
Position 6: V (opposite to T)
Position 7: R (adjacent to V, not adjacent to Q)
Position 8: W (between R and S)

Now, let us determine the number of people sitting between W (Position 8) and U (Position 4):

• Going clockwise from W to U: S, T, P (3 people)
• Going counter-clockwise from W to U: R, V, Q (3 people)

In either direction around the table, there are exactly 3 (Three) people sitting between W and U.