Read the details provided below carefully and answer the following question.

A certain number of persons sit in a row facing north. E is the only neighbor of Q. Five persons sit between E and T. K sits immediately to the right of T. B sits second to the right of K. Two persons sit between K and Y. The number of persons sitting between E and H is twice the number of persons sitting between B and Y. The number of persons sitting to the right of Y is four less than the number of persons sitting to the left of Y. More than twelve persons sit in the row.

The number of persons sitting between K and Y is twice the number of persons sitting between ____ and _____.

The correct option is K, B.

Step-by-Step Explanation:

1. Analyze the given statements:

• E is the only neighbor of Q: This implies that Q must sit at an extreme end of the row (with E immediately beside Q).

• Five persons sit between E and T: Setting Q at position 1 (left end), E is at position 2, and T is at position 8.

• K sits immediately to the right of T: Therefore, K is at position 9.

• B sits second to the right of K: Placing B at position 11 (with 1 person at position 10 sitting between K and B).

• Two persons sit between K and Y: It is explicitly stated that the number of persons sitting between K and Y is 2.

2. Complete Seating Arrangement Verification:

Placing Y to the right of K puts Y at position 12 (with 2 persons, position 10 and B at position 11, sitting between K and Y).

• Number of persons between B (position 11) and Y (position 12) = 0.

• Number of persons between E and H = 2 × 0 = 0, which means H sits immediately next to E at position 3.

• Persons to the left of Y (position 12) = 11 persons.

• Persons to the right of Y = 11 - 4 = 7 persons (total 19 persons in the row, which satisfies the condition of having more than 12 persons).

3. Answer Derivation:

From the arrangement, we know:

• Number of persons between K and Y = 2

• Number of persons between K and B = 1 (since B sits second to the right of K)

Since:

$2=2\times 1$

The number of persons sitting between K and Y (2) is twice the number of persons sitting between K and B (1).