integers

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[email protected]: Master | Next Rank: 500 Posts; Posts: 117; Joined: Mon Oct 27, 2008 5:08 pm; Thanked: 1 times

by [email protected] » Sun Apr 12, 2009 5:41 am

What is the greatest common factor of positive integers x and y?

(1) The greatest common factor of x/2 and y/2 is 5.
(2) x and y are even

A

don't get what statement one means, can anyone explain please

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Source: Beat The GMAT — Data Sufficiency | Sun Apr 12, 2009 5:41 am

cramya: Legendary Member; Posts: 2467; Joined: Thu Aug 28, 2008 6:14 pmFollowed by: 11 members; Thanked: 331 times

by cramya » Sun Apr 12, 2009 8:09 am

I think smt I means the GCF of x and y must be 10

Some pairs of numbers could be:

x=10 y=10

x=50 y=70

x=10 y=20

In any of the paitrs of numbers above the GCF is 10

Basically the statement means x and y are both even so stmt II is reduntant and 2 * 5 will be the GCF of x and Y

suff

P.S : Just my suggestion, Ian or others please correct me if I am mistaken.

For number properties questions or remainder problems if a theoritical or a conceptual solution evades u then pick some numbers that adhere to the constraints given in the problem. If u start seeing a pattern from any of the info in the individual statements and other info given in the question chances are most likely that statement is SUFFICIENT.

Regards,
CR

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