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Problem Solving

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Problem Solving

by gmatmillenium » Sun May 02, 2010 4:50 am
If n and y are positive integers and 450y=(cube on n), which of the following must be an integer?

1. y/[3.5.(square of 2)]
2. y/ [(square of 3).2.5]
3. y/[ 3.2.(square of 5)][/img][/spoiler]
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by liferocks » Sun May 02, 2010 6:02 am
450=3^2*5^2*2
since 450y is perfect cube y=3.5.2^2*k where k=1,8,27..cube of any integer

hence option 1 is always an integer
Ans option 1
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