450 can be expanded to 3*3*5*5*2
We're told that 450y is n^3, and that both n and y are integers. So, we must be able to take a cube root of 450y and get an integer.
450 itself has two 3's, two 5's and one 2. That means y must give an extra 3, an extra 5, and two more 2's in order for 450y to be a perfect cube root.
So at minimum, y must be 3 x 5 x 2^2.
I only?
GMAT Prep Test 1 PS 1
This topic has expert replies
Source: Beat The GMAT — Problem Solving |












