If x and y are positive integers greater than 1 such that x – y and x/y are both even integers, which of the following numbers must be non-prime integers?
I. x
II. x + y
III. y/x
Select.
A) I only B) II only C) III only D) I and II E) I, II and III
x - y is an even integer: Therefore, for the equation to hold true, both x and y have to be even.   x/y is an even integer: Therefore, this implies that x has to be greater than y.   We can eliminate option III as y/x will never be an integer (Since x&gt;y)   Statement I, x: x&gt;y, hence x has to greater than 2 and even, therefore divisible by 2 and non-prime.   Statement II, x+y: x+y will be divisible by at least 2 since both x and y are even, hence the sum is non prime.   Thus, option I and II is the correct answer
<result>D</result>
If x and y are positive integers greater than 1 such that x – y and x/y are both even integers, which of the following numbers must be non-prime integers?
I. x
II. x + y
III. y/x