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

[Gmat_mission]

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

Source: EMPOWERgmat