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31 Oct 2016, 08:01
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C
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Difficulty:
75%
(hard)
Question Stats:
45% (01:53) correct
55%
(02:06)
wrong
based on 108
sessions
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What is the greatest common divisor of positive integers J and K ?
1) The greatest common divisor of 3J and 2K is 2
2) The greatest common divisor of 5J and K is 10
*Kudos for all correct solutions
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1) The greatest common divisor of 3J and 2K is 2
2) The greatest common divisor of 5J and K is 10
*Kudos for all correct solutions
Here's our video solution: https://www.gmatprepnow.com/module/gmat ... /video/857
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31 Oct 2016, 11:43
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1) The greatest common divisor of 3J and 2K is 2 INSUFFICIENT
2 is a factor of J, and that J and K have not other common factors. However, we don' t know whether 2 is a factor of k or not, therefore, the greatest common divisor of positive integers J and K can be 2 (if 2 is a factor of k ) or 1 (if it's not)
2) The greatest common divisor of 5J and K is 10 INSUFFICIENT
2 and 5 are factors of K, and 2 is a factor of J , but 5 may or may not be a factor of J,
thereforethe greatest common divisor of positive integers J and K can be 10(if 5 is a factor of J ) or 2 (if it's not)
1+2) from 2) ===> 2 is a factor of both K and J
from 1)====> 5 is not a factor of J (otherwise the GCD would be divisible by 5)
GCD=2
answer C
10 Jul 2019, 14:25
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