If \(x - y = even\) and \(\frac{x}{y} = even\), both \(x\) and \(y\) must be even integers greater than \(2\)

I: \(x\) is non-prime - YES
\(x > 2\) and an even number, since it is an even greater than \(2\) it will have more than two factors

II: \(x + y\) is non-prime - YES
Since the sum is an even greater than \(2\) it will have more than two factors

III: y/x is non prime - NO
We cannot say!
Example: \(x = 4\) and \(y = 8\), so \(\frac{y}{x} = 2\) which is a prime

Hence, option D