Directions (84-87) : Study the following information carefully and answer the questions given below:
A certain number of persons sit in a row facing north direction. Two persons sit between N and Q who is the only neighbour of B. W sits 5th to the left of L who sits immediately right of N. W sits exactly middle of the row. The number of persons sit between W and N is the same as the number of persons sit between W and T . Z sits 2nd to the right of H. Three person sits between T and H. O sits just left of A and just right of E who doesn’t sit adjacent to W.

The number of persons sit between H and N is _______.

The correct option is Prime number.

Let's determine the exact seating arrangement step-by-step based on the given clues:

Step 1: Analyze the positions of W, L, N, Q, and B
1. "W sits 5th to the left of L who sits immediately right of N":
If L is at position $x$, then N is immediately to its left at position $x-1$.
Since W sits 5th to the left of L, W is at position $x-5$.
The arrangement of these elements from left to right is: W _ _ _ N L.
The number of persons sitting between W and N is 3.

2. "The number of persons sit between W and N is the same as the number of persons sit between W and T":
Since there are 3 persons between W and N (with N to the right of W), T must be 3 places to the left of W.
So, the arrangement becomes: T _ _ _ W _ _ _ N L.

3. "Two persons sit between N and Q who is the only neighbour of B":
Since Q is the only neighbour of B, B must be at one of the extreme ends of the row, and Q sits right next to B.
N is at position $x-1$. Moving 2 persons to the right of N puts Q at position $x+3$ (with L at $x$, followed by another person at $x+1$, another at $x+2$, and Q at $x+3$).
Since Q is the only neighbour of B, B sits to the right of Q at $x+4$, making B the rightmost end of the row.

Step 2: Determine the length of the row and find H and Z
1. "W sits exactly middle of the row":
From W to the right end (B), let's count the positions:
W (0), _ (1), _ (2), _ (3), N (4), L (5), _ (6), _ (7), Q (8), B (9).
There are 9 persons to the right of W. Since W is exactly in the middle, there must also be 9 persons to the left of W.
Total persons in the row = 9 + 1 + 9 = 19 persons.

2. "Three person sits between T and H":
T is 4th to the left of W. Counting positions to the left of W:
W is at index 0.
To the left: -1, -2, -3, T (-4).
Three persons between T and H means H can be 4 positions to the left of T, which is at position -8.
Let's list positions from left end (-9) to right end (9):
Pos -9: End
Pos -8: H
Pos -7: _
Pos -6: Z (since "Z sits 2nd to the right of H")
Pos -5: _
Pos -4: T
Pos -3: _
Pos -2: _
Pos -1: _
Pos 0: W
Pos 1: _
Pos 2: _
Pos 3: _
Pos 4: N
Pos 5: L
Pos 6: _
Pos 7: _
Pos 8: Q
Pos 9: B

Step 3: Calculate the number of persons between H and N
Position of H = -8
Position of N = 4

The number of persons sitting strictly between H and N is:
$(4-(-8\left)\right)-1=12-1=11$

The number 11 is a Prime number.