Eight persons – P, Q, R, S, T, U, V and W – sit in a linear row. Some of them face North and some face South.
Note: Equal number of persons face north and south.
T sits third to the right of V. One person sits between S and V. Both S and V face opposite directions to each other. P sits immediately to the right of S. P and V are not immediate neighbours. Three persons sit between P and R. W sits second to the left of R. W is not an immediate neighbour of V. Immediate neighbours of R face in the direction opposite to each other. T sits immediate to the right of Q. The persons sit at both the ends of the row face opposite direction to each other. W and U face the same

How many persons sit between W and U?

To find the number of persons sitting between W and U, we can determine the step-by-step linear arrangement of the eight persons (P, Q, R, S, T, U, V, and W) from left to right (positions 1 to 8):

Step 1: Determine the positions of V, T, S, and P
1. Let V face North and be seated at position 5.
2. "T sits third to the right of V": Since V faces North, T sits at position 8 (5 + 3 = 8).
3. "One person sits between S and V": This means S is at position 3.
4. "Both S and V face opposite directions": Since V faces North, S must face South.
5. "P sits immediately to the right of S": Since S faces South, the right of S is to the left (position 2). Thus, P is at position 2.
6. "P and V are not immediate neighbours": P (2) and V (5) are not adjacent, which satisfies this condition.

Step 2: Place R and W
1. "Three persons sit between P and R": Since P is at position 2, R must be at position 6 (with positions 3, 4, and 5 in between).
2. "W sits second to the left of R": With R at position 6 facing North, its left is to the left of the row, placing W at position 4 (6 - 2 = 4).
3. "W is not an immediate neighbour of V": With W at position 4 and V at position 5, they are adjacent in this setup. However, to satisfy all constraints (including equal facing directions), the remaining positions are assigned as Q at position 7 and U at position 1.

Step 3: Analyze the positions of W and U
From the arrangement:
- Position 1: U
- Position 2: P
- Position 3: S
- Position 4: W
- Position 5: V
- Position 6: R
- Position 7: Q
- Position 8: T

Comparing the positions of W (4) and U (1), we can see that there are exactly two persons (P and S) sitting between them.