To solve this problem, let's assume the positive integer as 'x'.
According to the given information, the positive integer is equal to 4 times its reciprocal.
This can be written as:
x = 4 * (1/x)
Multiplying both sides of the equation by 'x', we get:
x^2 = 4
Taking the square root of both sides, we find:
x = ±√4
Therefore, the positive integer can be either +2 or -2.
However, since the question states that the integer is positive, the correct answer is B) 2.