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.
(1) p is a multiple of q^2.
(2) q is a multiple of p.
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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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GMAT Boost offers 250+ challenging GMAT Math practice questions, each with a thorough video explanation, and 100+ GMAT Math video tips, each 90 seconds or less.
It's a total of 20+ hours of expert instruction for an introductory price of just $10.
View sample questions and tips without signing up, or sign up now for full access.
Also, check out the most useful GMAT Math blog on the internet here.
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_
