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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 \(p = 2^a\cdot3^b\) and \(q = 2^c\cdot3^d\cdot5^e,\) is \(\dfrac{p}{q}\) a terminating decimal?
(1) \(a > c\)
(2) \(b > d\)
[spoiler]OA=B[/spoiler]
Source: Manhattan GMAT
If \(a, b, c, d\) and \(e\) are integers and \(p = 2^a\cdot3^b\) and \(q = 2^c\cdot3^d\cdot5^e,\) is \(\dfrac{p}{q}\) a terminating decimal?
(1) \(a > c\)
(2) \(b > d\)
[spoiler]OA=B[/spoiler]
Source: Manhattan GMAT
