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GMAT Number Theory
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Author:  Gennadiy [ Wed Oct 31, 2012 5:15 pm ]
Post subject:  Re: GMAT Number Theory

fedana wrote:
On the GMAT, would the number 7 be considered a multiple of the number 3.5?
No, divisors and multiples refer to integers only. So the phrase "n is a multiple of m/2" implies that m/2 is an integer.

Author:  questioner [ Wed May 22, 2013 11:27 am ]
Post subject:  Re: GMAT Number Theory

Wrong answer, suppose n = 6, a = 1, m = 9.

Author:  Gennadiy [ Wed May 22, 2013 11:33 am ]
Post subject:  Re: GMAT Number Theory

questioner wrote:
Wrong answer, suppose n = 6, a = 1, m = 9.
The values do not fit in any statement.

Author:  questioner [ Wed May 22, 2013 12:09 pm ]
Post subject:  Re: GMAT Number Theory

n = 2m × k (given) , if k = 1 and m = 2, then n = 4. m is NOT divisible by m. So, it is not sufficient as well.

Author:  Gennadiy [ Wed May 22, 2013 12:21 pm ]
Post subject:  Re: GMAT Number Theory

questioner wrote:
n = 2m × k (given) , if k = 1 and m = 2, then n = 4.
Based on statement (2) that is correct.

Quote:
m is NOT divisible by m. So, it is not sufficient as well.
It's not clear what you meant, but what the question asks us is:
Quote:
… is n²ª a multiple of mª?
The proposed values make it "… is 4²ª a multiple of 2ª?"

And 4²ª is indeed a multiple of 2ª, so the proposed values do not prove statement (2) to be insufficient.

Author:  questioner [ Thu Aug 15, 2013 2:57 pm ]
Post subject:  Re: GMAT Number Theory

I think statement 2 is insufficient as well: if 2m is divisor of n then let's say that m = n = 3 --> 6/3 = 2 let's say, in addition, that a = 1 then 3 is not divisor of 9 (3²).

Author:  Gennadiy [ Thu Aug 15, 2013 3:02 pm ]
Post subject:  Re: GMAT Number Theory

questioner wrote:
I think statement 2 is insufficient as well: if 2m is divisor of n then let's say that m = n = 3 --> 6/3 = 2 …
Statement (2) tells us that n is a multiple 2m. In other words n is divisible by 2m.
If m = n = 3, then n = 3 is NOT divisible by 2m = 6.

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