INTEGERS

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INTEGERS

by naveen451 » Sat Aug 06, 2011 5:48 am
If p and q are positive integers, what is the value of p/(q^2)?

(1) p is a multiple of q^2.

(2) q is a multiple of p.

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by GmatKiss » Sat Aug 06, 2011 6:34 am
IMO:E

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by gmatboost » Sat Aug 06, 2011 6:36 am
Statement 1: It could be pretty much anything. Insufficient.
Statement 2: It could be pretty much anything. Insufficient.

Combined: If p is a multiple of q^2 AND q is a multiple of p, that means that at the same time:
p >= q^2
q >= p

The only way this is possible with positive integers is if q = p = 1. [spoiler]So, p/(q^2) = 1/ Sufficient.[/spoiler]
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by bblast » Sat Aug 06, 2011 6:41 am
gmatboost wrote:Statement 1: It could be pretty much anything. Insufficient.
Statement 2: It could be pretty much anything. Insufficient.

Combined: If p is a multiple of q^2 AND q is a multiple of p, that means that at the same time:
p >= q^2
q >= p

The only way this is possible with positive integers is if q = p = 1. [spoiler]So, p/(q^2) = 1/ Sufficient.[/spoiler]
Yup, this is true because prob stat says we have positive integers. If it said just integers then -1 would pop its head up and the answer would be E.
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