If x and y are positive integers, is xy a multiple of 8?
1) Greatest common denominator of x and y is 10
2) Lowest common multiple of x and y is 100.
C, both statements together are sufficient
I cannot for the life of me figure out the implications of statement 2
GMAT Powerprep -Number properties question
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stmt 1 - i think it shld be Greatest Common Dvisior (GCD) which means the HCF (Highest Common Factor) of x and y is 10...insuff
stmt 2 - LCM is 100......insuff
Both - HCF is 10 and LCM is 100...Now the prod of 2 numbers = HCF * LCM = 1000, which is a multiple of 8.....Suff and so ans is C
This link will give u more insight on LCM and HCF
https://www.cimt.plymouth.ac.uk/projects ... k8_2i4.htm
stmt 2 - LCM is 100......insuff
Both - HCF is 10 and LCM is 100...Now the prod of 2 numbers = HCF * LCM = 1000, which is a multiple of 8.....Suff and so ans is C
This link will give u more insight on LCM and HCF
https://www.cimt.plymouth.ac.uk/projects ... k8_2i4.htm
Trying hard!!!
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