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. \(n\) is not equal to \(k.\)

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