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.

Step-by-step Explanation:

Let us analyze the given information step-by-step to determine the seating arrangement of persons facing north in a row.

1. Analyze Q and B:
"Q who is the only neighbour of B" implies that B sits at one extreme end of the row, and Q is adjacent only to B. Since Q is the only neighbor of B, B must be at the left end or right end.

2. Analyze N, L, and W:
"Two persons sit between N and Q."
"L sits immediately right of N."
"W sits 5th to the left of L."
Let us place L immediately to the right of N: arrangement segment is N, L.
Since W sits 5th to the left of L:
- Position of L relative to W: W _ _ _ _ L
- Since L is immediately right of N (i.e. N is 1 place to the left of L), N is 4th to the left of L.
So the relative positions from W to L are: W _ _ _ N L.

3. Determine positions relative to W:
Between W and N, there are 3 persons (W _ _ _ N).
So, the number of persons between W and N is 3.

4. Analyze T:
"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 (N is to the right of W), T must be to the left of W with 3 persons between W and T.
So the arrangement around W is:
T _ _ _ W _ _ _ N L

5. Find the total row length using W as middle:
"W sits exactly middle of the row."
To the right of W, we have: _ _ _ N L _ _ Q B.
Since 2 persons sit between N and Q:
Positions to the right of W:
- 1st to 3rd right of W: 3 persons
- 4th right of W: N
- 5th right of W: L
- 6th & 7th right of W: 2 persons
- 8th right of W: Q
- 9th right of W: B (end of row)

So there are 9 persons to the right of W. Since W is exactly in the middle of the row, there must also be 9 persons to the left of W.
Total persons in the row = 9 + 1 (W) + 9 = 19 persons.

6. Analyze T, H, and Z:
T is 4th to the left of W (so position 6 from left end).
"Three person sits between T and H."
"Z sits 2nd to the right of H."
If H were to the right of T, H would be immediately to the left of W (since T is 4 positions away from W).
If H were to the left of T, H is 4 positions to the left of T (position 2 from left end). Then Z (2nd right of H) is position 4 from left end.

7. Calculate the number of persons between H and N:
Let us find the positions relative to each other:
- N is 4th to the right of W.
- If H is to the left of T: T is 4th to the left of W, and H is 4th to the left of T. Thus H is 8th to the left of W.
- The number of persons between H (8th to the left of W) and N (4th to the right of W):
Number of persons = (8 to the left) + 1 (W) + (4 to the right - 1) = 8 + 1 + 3 = 11 persons.

8. Conclusion:
The number of persons sitting between H and N is 11.
Since 11 is a Prime number, the correct answer is Prime number.