If \(a, b, c, d\) and \(e\) are integers and \(p=2^a3^b\) and \(q=2^c3^d5^e,\) is \(\dfrac{p}{q}\) a terminating decimal

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Any decimal that has only a finite number of nonzero digits is a terminating decimal. For example, \(36,\) \(0.72,\) and \(3.005\) are terminating decimals.

If \(a, b, c, d\) and \(e\) are integers and \(p=2^a3^b\) and \(q=2^c3^d5^e,\) is \(\dfrac{p}{q}\) a terminating decimal?

(1) \(a > c\)
(2) \(b > d\)

Answer: B

Source: Manhattan GMAT
Source: — Data Sufficiency |