If n and y are positive integers and 450y = n^3, which of the following must be an integer? Options:
A) y/(3*2^2*5) B) y/(3^2*2*5) C) y/(3*2*5^2) D) y/(5^3*2^2) E) y/(5*3*2)
Solution:   As y and n are both integers so y is of the form of 3*5*2*2*K   where K= an integer.   to make n as an integer and 450y to be a cube of a number.   Now checking with the answers we get only 1 as K.   So the answer is (1).
<result>A</result>
If n and y are positive integers and 450y = n^3, which of the following must be an integer?