If \(n\) and \(k\) are integers whose product is \(400,\) which of the following statements must be true?

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If \(n\) and \(k\) are integers whose product is \(400,\) which of the following statements must be true?

A. \(n+k>0\)
B. \(n\) does not equal \(k\)
C. Either \(n\) or \(k\) is a multiple of \(10\)
D. If \(n\) is even, then \(k\) is odd
E. If \(n\) is odd, then \(k\) is even

Answer: E

Source: GMAT Paper Tests
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