CAT 2003 | Question: 2-57

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

A) possible. 12-2 is even integer

B) possible. 3⨉4 is even integer

C)possible (3+9)/3 is even integer

So, Ans D)

Comments

Your aanser is Right but your example in (c) is worng. (2+4)/2 =3 is an odd number not even.

you can take x= 3 and y=9.

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ok:)