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If m and n are positive integers such that m

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If m and n are positive integers such that m

by guerrero » Mon Apr 22, 2013 1:38 pm
If m and n are positive integers such that m is a factor of n, how many positive multiples of m are less than or equal to 2n ?

A. 2m/n + 1
B. 2n/m + 1
C. 2n/(m+1)
D. 2m/n
E. 2n/m

please simplify the statement .The question is asked in a twisted way , and I am unable to find what exactlybeen asked . Thanks!

OA [spoiler]E

[/spoiler]
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by Brent@GMATPrepNow » Mon Apr 22, 2013 2:05 pm
guerrero wrote:If m and n are positive integers such that m is a factor of n, how many positive multiples of m are less than or equal to 2n ?

A. 2m/n + 1
B. 2n/m + 1
C. 2n/(m+1)
D. 2m/n
E. 2n/m

please simplify the statement .The question is asked in a twisted way , and I am unable to find what exactlybeen asked . Thanks!

OA [spoiler]E

[/spoiler]
Consider the case that n = 6 and m = 3 (m is a factor of n).

How many positive multiples of m are less than or equal to 2n?
How many positive multiples of 3 are less than or equal to 12?
3, 6, 9, 12
There are 4 positive multiples.

So, when n = 6 and m = 3, there are 4 positive multiples.

Now check the answer choices.

A. 2m/n + 1 = 2(3)/(6) + 1 = 2 ELIMINATE
B. 2n/m + 1 = 2(6)/(3) + 1 = 5 ELIMINATE
C. 2n/(m+1) = 2(6)/(3+1) = 3 ELIMINATE
D. 2m/n = 2(3)/(6) = 1 ELIMINATE
E. 2n/m = 2(6)/3 = 4 PERFECT!

Answer = E

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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