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GMAT Number Theory
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Author:  Gennadiy [ Tue Oct 11, 2011 12:13 pm ]
Post subject:  Re: GMAT Number Theory


Author:  questioner [ Fri Nov 04, 2011 7:27 am ]
Post subject:  Re: GMAT Number Theory

Let n = 2, m = 5. 2m = 10 is a divisor of n or 2, but n²ª (or 4ª) is not a multiple of mª (or 5ª).

Author:  Gennadiy [ Fri Nov 04, 2011 7:34 am ]
Post subject:  Re: GMAT Number Theory


Author:  questioner [ Thu Nov 10, 2011 6:06 pm ]
Post subject:  Re: GMAT Number Theory

In your explanation of why answer A is insufficient, you give 2 examples of why the answer is no, which is an answer. You might inlcude an example of when the answer is yes sometimes and no other times, making A insufficient.

Author:  Gennadiy [ Thu Nov 10, 2011 6:14 pm ]
Post subject:  Re: GMAT Number Theory


Author:  dave [ Thu Apr 12, 2012 2:20 am ]
Post subject:  Re: GMAT Number Theory

Can you expand on the second point? I understand why if 2m is a divisor of n, then m is a divisor of n – but how do we get from there to understanding that n²ª is a multiple of m²ª?

Author:  Gennadiy [ Thu Apr 12, 2012 2:44 am ]
Post subject:  Re: GMAT Number Theory


Author:  radz1806 [ Tue Aug 21, 2012 3:17 am ]
Post subject:  Re: GMAT Number Theory

A way to answer this question would be

statement 1)
first statement needs to be an integer as n is a multiple of m/2

so if you write it as n/(m/2) = 2(n/m) and this needs to be an integer for it to be an integer we have two options:

thus n/m can be 1/2 -> not an integer NO
or n/m can be 1,2,3,4,.......---> integers yes

thus Not sufficient

statement 2)
it states that n/2m is an integer

now separate it as (1/2) * (n/m) and this is an integer

thus for this to be an integer naturally (n/m) has to be an integer which cancels out the 2 in the denominator------> yes only

Thus statement 2 is sufficient as if n is multiple of m then n^2 will also be a multiple of m

Author:  Gennadiy [ Wed Aug 22, 2012 11:22 am ]
Post subject:  Re: GMAT Number Theory


Author:  fedana [ Wed Oct 31, 2012 5:07 pm ]
Post subject:  Re: GMAT Number Theory

On the GMAT, would the number 7 be considered a multiple of the number 3.5? I am wondering, whether when picking numbers for this problem, I could have picked n = 7 and m = 7 (since n is multiple of m/2, and 7 is (or not?) a multiple of 3.5)

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