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Is 12 a factor of x(y2)? 1) X is a multiple of 24 2) Y is a multiple 6 Updated on: 29 May 2017, 10:42
Originally posted by MathRevolution on 24 May 2017, 00:30.
Last edited by MathRevolution on 29 May 2017, 10:42, edited 2 times in total.
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D
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75% (00:52) correct 25% (01:09) wrong based on 56 sessions

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If x and y are integers, is 12 a factor of x(y^2)?

1) X is a multiple of 24
2) Y is a multiple of 6

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Bunuel
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Is 12 a factor of x(y2)? 1) X is a multiple of 24 2) Y is a multiple 6 24 May 2017, 00:39
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Is 12 a factor of x(y^2)?

1) X is a multiple of 24
2) Y is a multiple of 6

It should be mentioned in the stem that x and y are positive integers. Otherwise the answer cannot be D. Every GMAT divisibility question will tell you in advance that any unknowns represent positive integers (ALL GMAT divisibility questions are limited to positive integers only).
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Is 12 a factor of x(y2)? 1) X is a multiple of 24 2) Y is a multiple 6 25 May 2017, 00:15
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Thanks for the input Bunuel. I am curious, what if x is negative? Say x= -24 and y is any integer negative or positive, Can 12 not be a factor of x(y^2) then? Sorry if my question is stupid.
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Is 12 a factor of x(y2)? 1) X is a multiple of 24 2) Y is a multiple 6 25 May 2017, 01:43
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Thanks for the input Bunuel. I am curious, what if x is negative? Say x= -24 and y is any integer negative or positive, Can 12 not be a factor of x(y^2) then? Sorry if my question is stupid.

12 is a factor of of -24. But again, every GMAT divisibility question will tell you in advance that any unknowns represent positive integers (ALL GMAT divisibility questions are limited to positive integers only). The word "integer" being most crucial part there. But apart from "integer" part, you won't be bothered with negative divisors/remainders or factors/remainders of negative integers too.
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Is 12 a factor of x(y2)? 1) X is a multiple of 24 2) Y is a multiple 6 25 May 2017, 02:24
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Is 12 a factor of x(y^2)?

1) X is a multiple of 24
2) Y is a multiple of 6

It should be mentioned in the stem that x and y are positive integers. Otherwise the answer cannot be D. Every GMAT divisibility question will tell you in advance that any unknowns represent positive integers (ALL GMAT divisibility questions are limited to positive integers only).

I thought that the question was deliberately trying to trick the reader by omitting that x and y are integers, which would make A and B both insufficient on their own. However, when combined together, it is clear that both X and Y are integers and hence C should be the answer.

Can the original poster confirm what the real question should be?
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Is 12 a factor of x(y2)? 1) X is a multiple of 24 2) Y is a multiple 6 25 May 2017, 02:26
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Is 12 a factor of x(y^2)?

1) X is a multiple of 24
2) Y is a multiple of 6

It should be mentioned in the stem that x and y are positive integers. Otherwise the answer cannot be D. Every GMAT divisibility question will tell you in advance that any unknowns represent positive integers (ALL GMAT divisibility questions are limited to positive integers only).

I thought that the question was deliberately trying to trick the reader by omitting that x and y are integers, which would make A and B both insufficient on their own. However, when combined together, it is clear that both X and Y are integers and hence C should be the answer.

Can the original poster confirm what the real question should be?

Since the OA is given as D that was not the intent. Moreover if this were the intent the question would not be very GMAT-like as discussed above.
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Is 12 a factor of x(y2)? 1) X is a multiple of 24 2) Y is a multiple 6 25 May 2017, 17:31
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==> In the original condition, there are 2 variables (x,y) and in order to match the number of variables to the number of equations, there must be 2 equations. Since there is 1 for con 1) and 1 for con 2), C is most likely to be the answer. However, for con 1), x has 12 as a factor from 24=2(12), hence yes, it is sufficient. For con 2), y^2 also has 36 as a factor, and from 36=3(12), y^2 has 12 as a factor as well, hence yes. The answer is D.

Answer: D
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Is 12 a factor of x(y2)? 1) X is a multiple of 24 2) Y is a multiple 6 26 May 2017, 00:04
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==> In the original condition, there are 2 variables (x,y) and in order to match the number of variables to the number of equations, there must be 2 equations. Since there is 1 for con 1) and 1 for con 2), C is most likely to be the answer. However, for con 1), x has 12 as a factor from 24=2(12), hence yes, it is sufficient. For con 2), y^2 also has 36 as a factor, and from 36=3(12), y^2 has 12 as a factor as well, hence yes. The answer is D.

Answer: D

This solution is wrong. Please read the discussion above. What if y is, say \(\sqrt[3]{2}\) for (1)? In this case x(y^2) won't be an integer and thus it will make no sense talking about its divisibility by 12. Similarly, what if x is, say \(\sqrt{2}\) for (2)? In this case x(y^2) won't be an integer and thus it will make no sense talking about its divisibility by 12. In its current form this is a poor quality, non-GMAT question.
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Is 12 a factor of x(y2)? 1) X is a multiple of 24 2) Y is a multiple 6 29 May 2017, 10:45
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==> In the original condition, there are 2 variables (x,y) and in order to match the number of variables to the number of equations, there must be 2 equations. Since there is 1 for con 1) and 1 for con 2), C is most likely to be the answer. However, for con 1), x has 12 as a factor from 24=2(12), hence yes, it is sufficient. For con 2), y^2 also has 36 as a factor, and from 36=3(12), y^2 has 12 as a factor as well, hence yes. The answer is D.

Answer: D

This solution is wrong. Please read the discussion above. What if y is, say \(\sqrt[3]{2}\) for (1)? In this case x(y^2) won't be an integer and thus it will make no sense talking about its divisibility by 12. Similarly, what if x is, say \(\sqrt{2}\) for (2)? In this case x(y^2) won't be an integer and thus it will make no sense talking about its divisibility by 12. In its current form this is a poor quality, non-GMAT question.


You are correct. Original intent is that x and y are integers.
The question is fixed now.

Thank you for your careful comment.
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Is 12 a factor of x(y2)? 1) X is a multiple of 24 2) Y is a multiple 6 29 May 2017, 11:05
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==> In the original condition, there are 2 variables (x,y) and in order to match the number of variables to the number of equations, there must be 2 equations. Since there is 1 for con 1) and 1 for con 2), C is most likely to be the answer. However, for con 1), x has 12 as a factor from 24=2(12), hence yes, it is sufficient. For con 2), y^2 also has 36 as a factor, and from 36=3(12), y^2 has 12 as a factor as well, hence yes. The answer is D.

Answer: D

This solution is wrong. Please read the discussion above. What if y is, say \(\sqrt[3]{2}\) for (1)? In this case x(y^2) won't be an integer and thus it will make no sense talking about its divisibility by 12. Similarly, what if x is, say \(\sqrt{2}\) for (2)? In this case x(y^2) won't be an integer and thus it will make no sense talking about its divisibility by 12. In its current form this is a poor quality, non-GMAT question.


You are correct. Original intent is that x and y are integers.
The question is fixed now.

Thank you for your careful comment.

Thank you for fixing the question. Poor quality tag is removed.

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