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.
INTEGERS
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- gmatboost
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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]
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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- bblast
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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.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]
Cheers !!
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Quant 47-Striving for 50
Verbal 34-Striving for 40
My gmat journey :
https://www.beatthegmat.com/710-bblast-s ... 90735.html
My take on the GMAT RC :
https://www.beatthegmat.com/ways-to-bbla ... 90808.html
How to prepare before your MBA:
https://www.youtube.com/watch?v=upz46D7 ... TWBZF14TKW_