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integers

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: — Data Sufficiency |
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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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