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: To solve this, we need to apply the fundamental rules of arithmetic for parity (odd/even numbers). Given Data: Step 1: Evaluate the components Step 2: Test the Options Option (a): is even is is Conclusion: This statement says the result is "even," which is mathematically impossible. Therefore, this statement cannot be true. Option (b): is odd is is Conclusion: This statement is true. Option (c): is odd is is Conclusion: This statement is true. Option (d): is even is is is Conclusion: This statement is true. Final Answer: The statement that cannot be true is (a) .

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