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.

Here is the detailed step-by-step logic to solve the linear seating arrangement:

Step 1: Analyze the core clues to determine the positions of V, S, T, and P
1. Let us assume the 8 seats in the row are numbered 1 to 8 from left to right.
2. T sits third to the right of V:
If V faces North, T must be to the right of V (i.e., Seat V + 3).
If V faces South, T must be to the left of V (i.e., Seat V - 3).
3. One person sits between S and V: S can be at Seat V - 2 or Seat V + 2.
4. Both S and V face opposite directions to each other.
5. P sits immediately to the right of S:
If S faces North, P is at Seat S + 1.
If S faces South, P is at Seat S - 1.
6. P and V are not immediate neighbours.

Let us test the case where V faces North and S faces South:
• T is at Seat V + 3.
• Since S and V face opposite directions, S faces South.
• If S is at Seat V - 2, P (immediately to the right of S facing South) sits at Seat S - 1 = V - 3. Here, P and V are not immediate neighbors, which is valid.
• If S is at Seat V + 2, P sits at Seat S - 1 = V + 1, which makes P and V immediate neighbors. This is invalid.
Therefore, we get the relative arrangement:
P (Seat V - 3) — S (Seat V - 2) — [Empty] — V (Seat V) — [Empty] — [Empty] — T (Seat V + 3)

Step 2: Place the arrangement in the 8-seat row
The segment spanned by P and T covers 7 seats (from V - 3 to V + 3). Since there are only 8 seats in the row, there are two possible placements:
Case A: V is at Seat 4 (P at Seat 1, S at Seat 2, T at Seat 7).
Case B: V is at Seat 5 (P at Seat 2, S at Seat 3, T at Seat 8).

Step 3: Analyze the positions of R and W
1. Three persons sit between P and R:
• In Case A (P at Seat 1), R must be at Seat 5.
• In Case B (P at Seat 2), R must be at Seat 6.
2. W sits second to the left of R:
• In Case A (R at Seat 5): If R faces North, W is at Seat 3. If R faces South, W is at Seat 7 (occupied by T). Thus, R must face North, and W is at Seat 3.
• In Case B (R at Seat 6): If R faces North, W is at Seat 4. If R faces South, W is at Seat 8 (occupied by T). Thus, R must face North, and W is at Seat 4.

Step 4: Determine the positions of Q and U
Using Case A:
The filled seats so far are:
• Seat 1: P (North)
• Seat 2: S (South)
• Seat 3: W (South)
• Seat 4: V (North)
• Seat 5: R (North)
• Seat 7: T (North)
This leaves Seats 6 and 8 for Q and U.
1. T sits immediate to the right of Q:
T is at Seat 7. Since Seat 8 is empty, if Q is placed at Seat 8 and faces South, its immediate right is Seat 7 (where T sits). Thus, Q is at Seat 8 (facing South).
2. This leaves Seat 6 for U.

Step 5: Verify remaining conditions
• W and U face the same direction: Both W and U face South. (Valid)
• Immediate neighbours of R face opposite directions: R is at Seat 5. Its neighbours are V (North) and U (South). (Valid)
• Persons at the extreme ends face opposite directions: P at Seat 1 (North) and Q at Seat 8 (South). (Valid)

The final seating arrangement from left to right (Seats 1 to 8) is:
P (North) — S (South) — W (South) — V (North) — R (North) — U (South) — T (North) — Q (South)

Step 6: Answer the question
We need to find who sits exactly between V (Seat 4) and Q (Seat 8).
The seats between Seat 4 and Seat 8 are Seat 5 (R), Seat 6 (U), and Seat 7 (T).
The person sitting exactly in the middle of this range is at Seat 6, which is U.