If n and y are positive integers and 450y=n^3, which of the following must be an integer? GMAT Explanation

If n and y are positive integers and 450y=n^3, which of the following must be an integer?

I. y/3∗2^2∗5
II. y/3^2∗2∗5
III. y/3∗2∗5^2

A. None.
B. I only.
C. II only.
D. III only.
E. I, II, and III

Correct Answer: B

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