Bunuel wrote:
If A and B are positive integers, is B divisible by A?
(1) 2B/A is an integer.
(2) B^2/A is an integer.
From (1) 2B = k1*A => B = k1*A/2
If k1 is a non zero multiple of 2, then B is divisible by A. Since we do not know that information, (1) alone is insufficient.
From (2) B^2 = k2*A;
Can't say if B is a multiple of A or not. So (2) alone is insufficient.
Combining (1) & (2)
Substituting B = k1*A/2 in B^2 = k2*A
(k1^2*A^2)/4 = k2*A
k1^2 * A^2 = 4*k2*A
k1^2 * A = 4*k2
if A is equal to 1, then k1 is a multiple of 2, then answer would have been (C).
Since that is not the case here, answer is (E).