Let and be distinct integers, and are odd and positive and is even and positive. Which one of the following statements cannot be true?

is even Explanation: Given: Basic Rules: Evaluation of Options: (a) is even This statement says the result is even , but our calculation shows it must be odd . Therefore, this cannot be true . (b) is odd This is true. (c) is odd This is true. (d) is even This is true. Conclusion: Statement (a) contradicts the mathematical properties of odd and even numbers. Correct Option: (a) is even

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NIMCET 2012 — Reasoning PYQ

NIMCET | Reasoning | 2012

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

Choose the correct answer: