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13 Jan 2012, 09:49
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36%
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If x and y are nonzero integers, is 18 a factor of xy^2?
(1) x is a multiple of 54.
(2) y is a multiple of 6.
(1) x is a multiple of 54.
(2) y is a multiple of 6.
I did A.
In case of option 2 y is a multiple of 6.
So y = 6, 12, 18 .......if y = 6, then the factors of 6 could is 2 & 3 but factors of 18 are 2, 3 & 3. Thus 18 Could be not a factor of xy^2.
What is the wrong with me?
In case of option 2 y is a multiple of 6.
So y = 6, 12, 18 .......if y = 6, then the factors of 6 could is 2 & 3 but factors of 18 are 2, 3 & 3. Thus 18 Could be not a factor of xy^2.
What is the wrong with me?
13 Jan 2012, 10:20
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Baten80
If x and y are nonzero integers, is 18 a factor of xy^2?
(1) x is a multiple of 54.
(2) y is a multiple of 6.
I did A.
In case of option 2 y is a multiple of 6.
So y = 6, 12, 18 .......if y = 6, then the factors of 6 could is 2 & 3 but factors of 18 are 2, 3 & 3. Thus 18 Could be not a factor of xy^2.
What is the wrong with me?
(1) x is a multiple of 54.
(2) y is a multiple of 6.
I did A.
In case of option 2 y is a multiple of 6.
So y = 6, 12, 18 .......if y = 6, then the factors of 6 could is 2 & 3 but factors of 18 are 2, 3 & 3. Thus 18 Could be not a factor of xy^2.
What is the wrong with me?
If x and y are nonzero integers, is 18 a factor of xy^2?
(1) x is a multiple of 54 --> x is a multiple of 18 as well (54=18*3) --> xy^2 is also a multiple of 18. Sufficient.
(2) y is a multiple of 6 --> y^2 is a multiple of 6^2=36 --> y^2 is a multiple of 18 as well (36=18*2) --> the same here: as y^2 is a multiple of 18 then xy^2 is also a multiple of 18. Sufficient.
Answer: D.
