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If m and p are positive integers and (m + p)x m is even, which of the following must be true? Would it be: (A) if m is odd, then p is odd. (B) if m is odd, then p is even. (C) if m is even, then p is even and (D) if m is even, then p is odd. I had chosen D and that was wrong. Would it be C?

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1 answer
  1. for the product to be even, you must have either

    m even
    or
    m+p even

    A works, because odd+odd is even
    B fails -- odd*odd = odd
    C works whether p is even or odd, so it's not true that p must be even.
    D the same

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