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Re: Is X/Y an integer, if X and Y are integers. [#permalink]
Expert Reply
Vyshak wrote:
St1: Y > X
Assume Y = 2; X = 1 then X/Y is not an integer
Assume Y = 2; X = 0 then X/Y is an integer
Not Sufficient

St2: Y/X is an even integer
We have 2 possibilities:
Either
1) Y > X and X is not equal to 0
or
2) Y = 0

If Y > X and X is not equal to 0 then 0 < (X/Y) < 1 and hence cannot be an integer.
If Y = 0 then X/Y is not defined and hence cannot be an integer.
Sufficient



Answer: B



Hi Vyshak,
Try another version of the above Q..
https://gmatclub.com/forum/if-b-and-a-are-integers-is-a-b-an-integer-216576.html
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Re: Is X/Y an integer, if X and Y are integers. [#permalink]
chetan2u wrote:


Hi Chetan,

I understood the reason behind your intention :). Although I got the right answer for this question, I had skipped the possibility of Y < X (for negative integers) in my explanation for the second case.
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Re: Is X/Y an integer, if X and Y are integers. [#permalink]
Expert Reply
If B and A are integers, is A/B an integer?
(1) B>A
(2) B*A=/0

There are 2 variables (A and B) in the original condition. In order to match the number of variables to the number of equations, we need 2 more equations. Since both the condition 1) and the condition 2) each has 1 equation, there is high chance that C is the correct answer.
Using both the condition 1) and the condition 2), the answer becomes “no” when B=2 and A=1. However, the answer becomes “yes” when B=1 and A=-1. The conditions are not sufficient and the correct answer is E.

l For cases where we need 2 more equations, such as original conditions with “2 variables”, or “3 variables and 1 equation”, or “4 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 70% chance that C is the answer, while E has 25% chance. These two are the majority. In case of common mistake type 3,4, the answer may be from A, B or D but there is only 5% chance. Since C is most likely to be the answer using 1) and 2) separately according to DS definition (It saves us time). Obviously there may be cases where the answer is A, B, D or E.
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Re: Is X/Y an integer, if X and Y are integers. [#permalink]
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