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Math Help - modulo question

  1. #1
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    modulo question

    Hello. I have given the thread a new purpose, seeing as how it was a double post.

    Find the complete set of residues modulo 10 whose elements are
    a) nonnegative
    b) odd
    c) even

    a) {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
    b) and c) are challenging me though. I have a feeling it is going to be too simple. If the modulo was any odd number, I could do this question in a heart beat (and I am not saying that is any great feat). But seeing how 10 is even, I cannot do the ol' simple a+p (modp) = a method. What can I do? What should I look for? Is it something to do with Euler's function and negative numbers?
    Last edited by chrisc; February 3rd 2011 at 12:09 PM.
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  2. #2
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    Note for mod: This was originally a double post that now has a new question (instead of creating a new thread)
    I have edited the first post.
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