The Quest for 700: Weekly GMAT Challenge

Each week Manhattan GMAT posts a 700 level GMAT question on our blog and follows up with the answer the next day. Are you up for the challenge?

Positive integers a, b, c, m, n, and p are defined as follows: m = 2^a 3^b, n = 2^c, and p = 2m/n. Is p odd?

(1) a < b
(2) a < c