Positive integers \(a, b, c, m, n,\) and \(p\) are defined as follows: \(m=2^a3^b, n=2^c,\) and \(p=\dfrac{2m}{n}.\) Is \(p\) odd?

(1) \(a<b\)

(2) \(a<c\)

Answer: B

Source: Manhattan GMAT