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Re: If n and y are positive integers and 450y=n^3
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26 Jan 2017, 16:24

1) x is cubed, which means that its prime factors can be divided into three identical sets. 2) 450*y should have the same three sets of prime factors as x cubed, since the two expressions are equal 3) The prime factors of 450 are 2*5*5*3*3. This means that y has to consist of 2^2*5*3 at least, and it has to be divisible by this expression.

Re: If n and y are positive integers and 450y=n^3
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30 Jun 2017, 00:04

Cant we take higher values of N and Y so that it satisfies the equation,the all 3 possiblities are correct and answer is E eg: y= 5^4*3^4*2^5 N=5^2*3^2*2^2

Re: If n and y are positive integers and 450y=n^3
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30 Jun 2017, 00:18

jakexix wrote:

Cant we take higher values of N and Y so that it satisfies the equation,the all 3 possiblities are correct and answer is E eg: y= 5^4*3^4*2^5 N=5^2*3^2*2^2

The question asks which of the following MUST be an integer, not COULD be an integer. If y = 2^2*3*5, which is the least possible value of y, then only B is true. Please re-read the thread and follow the links to similar questions to understand the concept better.
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Re: If n and y are positive integers and 450y=n^3
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09 Jul 2018, 05:13

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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