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

Who among the following persons sits exactly between V and Q?

The correct answer is U.

Let us construct the step-by-step seating arrangement for the 8 positions (numbered 1 to 8 from left to right) based on the given clues:

Step 1: Placement of Q, T, U, R, V, W, S, and P

From the given conditions, the unique linear arrangement that satisfies the constraints is as follows:

Step 2: Verification of Clues

Let us verify all the conditions against this arrangement:

• Equal number of persons face North and South: Four persons face North (Q, U, W, S) and four face South (T, R, V, P).
• T sits third to the right of V: V is at position 5 and faces South (so "right" is to the left). Third to the right of V is $5-3=2$ (T).
• One person sits between S and V: S is at position 7 and V is at position 5. W (position 6) sits between them.
• S and V face opposite directions: S faces North and V faces South.
• P sits immediately to the right of S: S is at position 7 and faces North. Immediately to the right of S is position 8, occupied by P.
• P and V are not immediate neighbours: P is at position 8 and V is at position 5.
• Three persons sit between P and R: P is at position 8 and R is at position 4. The three persons between them are V, W, and S.
• W sits second to the left of R: R is at position 4 and faces South (so "left" is to the right). Second to the left of R is $4+2=6$ (W).
• Immediate neighbours of R face in the direction opposite to each other: The immediate neighbours of R are U (facing North) and V (facing South). They face opposite directions.
• T sits immediate to the right of Q: Q is at position 1 and faces North. T is at position 2.
• Persons at the extreme ends face opposite directions: Q (position 1) faces North and P (position 8) faces South.
• W and U face the same direction: Both W and U face North.

Step 3: Finding the Person sitting exactly between V and Q

From the table, Q is at position 1 and V is at position 5. The midpoint of their positions is:

$\frac{1+5}{2}=3$

The person sitting at position 3 is U. Thus, U sits exactly between V and Q.