Question

Let $x$ and $y$ be positive integers such that $x$ is prime and $y$ is composite, Then,

• A. $y-x$ cannot be an even integer
• B. $xy$ cannot be an even integer
• C. $\frac{x+y}{x}$ cannot be an even integer
• D. None of these

Answer 1

The correct option is D None of these

Let us take $x=2,y=6$

Then,
$y-x=4$

$xy=12$

$\frac{x+y}{x}=\frac{8}{2}=4$

So, all the three statements (a), (b) and (c) are false.