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I do not understand the significance of the word "riddle" in the question, but related to math, non-integers are neither odd nor even. For example, 1.5 and pi are neither even nor odd.

0 is an even number. See "Parity of Zero" in the Related Links for a discussion of why many people mistakenly believe 0 is not even.

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Q: What is never odd or even riddle?
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