If \(a, b, c, d\) and \(e\) are integers and \(p = 2^a\cdot 3^b\) and \(q = 2^c\cdot 3^d\cdot 5^e,\) is \(\dfrac{p}{q}\)

This topic has expert replies
Legendary Member
Posts: 1622
Joined: Thu Mar 01, 2018 7:22 am
Followed by:2 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

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 \(p = 2^a\cdot 3^b\) and \(q = 2^c\cdot 3^d\cdot 5^e,\) is \(\dfrac{p}{q}\) a terminating decimal?

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


[spoiler]OA=B[/spoiler]

Source: Manhattan GMAT
Source: — Data Sufficiency |