1 votes 1 votes Let $x, y$ and $z$ be distinct integers, that are odd and positive. Which one of the following statements cannot be true? $xyz^2$ is odd. $(x − y)^2 z$ is even. $(x + y − z)^2 (x + y)$ is even. $(x − y) (y + z) (x + y − z)$ is odd Quantitative Aptitude cat2000 quantitative-aptitude algebra + – go_editor asked Mar 28, 2016 • edited Apr 13, 2022 by Lakshman Bhaiya go_editor 13.9k points 759 views answer comment Share See all 0 reply Please log in or register to add a comment.
Best answer 2 votes 2 votes 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 4th option is not possible. ascend answered Apr 5, 2021 • selected Apr 13, 2021 by gatecse ascend 118 points comment Share See all 0 reply Please log in or register to add a comment.