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27 Oct 2016, 05:22
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B
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If x is a positive integer, is x/4 an integer?
(1) 72/x is an integer.
(2) 81/x is an integer.
(1) 72/x is an integer.
(2) 81/x is an integer.
27 Oct 2016, 06:57
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C - using both statements together we can say that x can have only 3 values 1 , 3 , 9.. so x/4 is definitely not an integer!
Sent from my XT1068 using GMAT Club Forum mobile app
Sent from my XT1068 using GMAT Club Forum mobile app
GSBae
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27 Oct 2016, 08:03
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Bunuel
If x is a positive integer, is x/4 an integer?
(1) 72/x is an integer.
(2) 81/x is an integer.
(1) 72/x is an integer.
(2) 81/x is an integer.
The question boils down to: is x divisible by 4?
(1) 72/x is an integer. This tells us that x has to be one of the factors of 72 (1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72). x could be 4, which would make x/4 an integer, or it could be 9, which means x/4 is not an integer. Insufficient.
(2) 81/x is an integer. Similarly, this tells us that x has to be one of the factors of 81 (1,3,9,27,81). Since 81 has no factors that are multiples of 4, we know that x/4 is NOT an integer. Sufficient.
Answer: B
