If \(a\) and \(b\) are two integers such that \(a\) is even, \(b\) is odd and neither of them leaves a remainder of \(1\) when divided by \(10,\) what is the unit digit of \(a \times b?\)

(1) The units digit of \(a^3\) is the same as the units digit of \(a.\)

(2) The units digit of \(b^4\) is the same as the units digit of \(b.\)

Answer: B

Source: Veritas Prep