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fsutanto: Junior | Next Rank: 30 Posts; Posts: 16; Joined: Sun May 30, 2010 2:34 am

by fsutanto » Sun Sep 26, 2010 9:26 am

What is the greatest common divisor of positive integers m and n?

(1) m is a prime number
(2) 2n = 7m

The correct answer is [spoiler](c)[/spoiler], but what's the logic? Anyone? Thanks!

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Source: Beat The GMAT — Data Sufficiency | Sun Sep 26, 2010 9:26 am

this_time_i_will: Master | Next Rank: 500 Posts; Posts: 268; Joined: Wed Mar 17, 2010 2:32 am; Thanked: 17 times

by this_time_i_will » Sun Sep 26, 2010 10:10 am

I: not sufficent, as it does not talk about n.
II: many values possible for m & n. for e.g. n=7 & m=2 or n=14 and m = 4 and so on.

I and II:
As per II, 7m should be even and as per I m is prime. These two conditions hold only for m=2.
Now if m = 2, n sud be 7. so the greatest common factor is 1.

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