CAT 2000 | Question: 65

Question

Let $x, y$ and $z$ be distinct integers, that are odd and positive. Which one of the following statements cannot be true?

• A. $xyz^2$ is odd.
• B. $(x − y)^2 z$ is even.
• C. $(x + y − z)^2 (x + y)$ is even.
• D. $(x − y) (y + z) (x + y − z)$ is odd

Answer 1

​​​​​​The difference of two odd integers is always an even number.

The multiplication of even integer with any(even/odd) integer is always an even integer.

Hence 4^th option is not possible.