Study the following information carefully to answer the given questions:

Certain numbers of persons sit in a row face north. Two persons sit between Q and P. P sits 3rd to the left of L. B sits adjacent to L. Four persons sit between B and Q who sits just right of D. The numbers of persons sit between Q and P is one more than the numbers of persons sit between R and Q. S sits 2nd to the left of R. Two persons sit between S and E. The numbers of persons sit between E and S is same as the numbers of persons sit to the left of E. K sits at one of the extreme ends and two places away from L.

How many persons sit between B and E?

The correct option is 11 (Option 11).

Let us break down the logical arrangement step-by-step to find the positions of all persons sitting in the row, facing North.

Step 1: Determine the positions around Q, P, L, B, and D.

1. Two persons sit between Q and P.
2. P sits 3rd to the left of L. (This means the order is P, _, _, L).
3. B sits adjacent to L. (So B can be to the immediate left or immediate right of L).
4. Four persons sit between B and Q.
5. Q sits just right of D. (So the pair is D Q).

Let us test the possible relative positions of Q and P:

Case A: P is to the right of Q.
Q, _, _, P, _, _, L
Since P sits 3rd to the left of L, L is 3 positions to the right of P.
If L is at position 7 relative to Q at position 1:
Q (1), _ (2), _ (3), P (4), _ (5), _ (6), L (7).
B is adjacent to L, so B could be at position 6 or 8.
If B is at position 8: Number of persons between B (8) and Q (1) is 6 (positions 2, 3, 4, 5, 6, 7), which does not equal 4.
If B is at position 6: Number of persons between B (6) and Q (1) is 4 (positions 2, 3, 4, 5). This satisfies "Four persons sit between B and Q".
So in this configuration, from left to right, we have:
D, Q, _, _, P, B, L

Let us check the condition for K:
"K sits at one of the extreme ends and two places away from L."
Since B is at position 6 (to the immediate left of L at position 7), position 8 to the right of L can be K (2 places away from L means 1 person between L and K, or K is 2nd from L).
Wait, 2 places away from L means distance of 2 (i.e. 1 person between them).
Since K is at an extreme end, the right end terminates at K (or K is to the left, but L is near the right of this group).

Step 2: Determine positions of R, S, and E.

1. "The numbers of persons sit between Q and P is one more than the numbers of persons sit between R and Q."
We know two persons sit between Q and P.
So, the number of persons between R and Q must be $2\; -\; 1\; =\; 1$.

Since Q has D to its immediate left (position of D is to the left of Q), R cannot be 1 place away to the left with 1 person between them if that overlaps inconsistently, let us place R to the left of Q:
R, _, D, Q
Number of persons between R and Q is 1 (which is D). This perfectly satisfies the condition!

2. "S sits 2nd to the left of R."
So the arrangement to the left of R is: S, _, R.

3. "Two persons sit between S and E."
Since S is to the left of R, E must be to the left of S:
E, _, _, S.

4. "The numbers of persons sit between E and S is same as the numbers of persons sit to the left of E."
There are 2 persons between E and S.
Therefore, there are exactly 2 persons to the left of E.

Step 3: Assemble the full row from left to right.

Let us index the positions starting from the far left (1-indexed):
- 2 persons to the left of E → Positions 1, 2 are vacant/unnamed.
- Position 3: E
- 2 persons between E and S → Positions 4, 5
- Position 6: S
- S sits 2nd to the left of R → Position 7 is vacant, Position 8: R
- 1 person between R and Q → Position 9: D
- Position 10: Q
- 2 persons between Q and P → Positions 11, 12
- Position 13: P
- 4 persons between Q (10) and B → Position 15: B (persons at 11, 12, 13, 14)
- Position 16: L (P at 13 is 3rd to the left of L at 16)
- K sits 2 places away from L and at an extreme end → Position 18: K (Position 17 is vacant).

Let us verify the positions of E and B:
- Position of E = 3
- Position of B = 15

The number of persons sitting between E and B is:
$15\; -\; 3\; -\; 1\; =\; 11$

Therefore, there are 11 persons sitting between B and E.