2x/y is a prime integer greater than 2 => 2x/y is an odd integer.mehaksal wrote:If y ≠3 and 2x/y is a prime integer greater than 2, which of the following must be true?
I. x = y
II. y = 1
III. x and y are prime integers.
(A) None (B) I only (C) II only (D) III only (E) I and II
Any prime number greater than 2 is an odd integer.
I). If x=y, then 2x/y becomes 2. FALSE
II) If y=1, then 2X needs to be prime integer, which is never possible. FALSE
III) If x and Y are prime integers, then x/y is not an integer. Therefore, for 2x/y to be an integer, y must be 2, and x must be a prime integer greater than 2. TRUE
Eg: 2 * 17/2 = 17 or 2*3/2 = 3.
Ans: D
