If \(a\) and \(b\) are integers such that \(a+b=5\), which of the following is true?

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If \(a\) and \(b\) are integers such that \(a + b = 5\), which of the following is true?

I. The product of \(a\) and \(b\) is odd.
II. If \(a\) is odd, \(b\) is even.
III. If \(a\) is negative, \(b\) is positive.

A. I only
B. II only
C. I and II
D. II and III
E. I, II and III

OA D