If \(a, b\) and \(c\) are integers and \(abc\) is an even integer, is \(b\) an odd integer?

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If \(a, b\) and \(c\) are integers and \(abc\) is an even integer, is \(b\) an odd integer?

1) \(ab + bc + ac\) is an even integer.
2) \(a + c\) is an odd integer.

Answer: C

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