Math question for the GMAT?

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Question Master

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Just wondering how to go about this question. I started by figuring out the values of the denominators, but not sure where to go after that.

If n and y are positive integers and 450y = n^3 , which of the following must be an integer?
I. y/ (3 x 2^2 x 5)
II. y/ (3^2 x 2 x 5)
III. y/ (3 x 2 x 5^2)

Just to clarify the exponents, the question stem has n cubed, and each of the answers is y divided by what's in the parentheses, with a different number squared in each choice.

If anyone could explain how it's done, I'd greatly appreciate it. Thanks!
 
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