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12 Apr 2016, 10:56
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
46% (01:24) correct
54%
(01:15)
wrong
based on 171
sessions
History
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Is \(\frac{X}{Y}\) an integer, if X and Y are integers..
(1) \(Y>X\)
(2) \(\frac{Y}{X}\) is an even integer
Self made
OA in two days..
(1) \(Y>X\)
(2) \(\frac{Y}{X}\) is an even integer
Self made
OA in two days..
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
12 Apr 2016, 11:22
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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 3 possibilities:
1) For positive integers, Y > X
or
2) Y = 0
or
3) For negative integers, Y < X
If Y > X and X and Y are positive, 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.
If Y < X and X and Y are negative, then 0 < (X/Y) < 1 and hence cannot be an integer.
Sufficient
Answer: B
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 3 possibilities:
1) For positive integers, Y > X
or
2) Y = 0
or
3) For negative integers, Y < X
If Y > X and X and Y are positive, 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.
If Y < X and X and Y are negative, then 0 < (X/Y) < 1 and hence cannot be an integer.
Sufficient
Answer: B
12 Apr 2016, 12:35
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Response:
Statement 1 : Y>X
Case 1: Y=0, X=-1 , X/Y Will be undefined.
Case 2: Y=2, X=1, X/Y Will be not an integer
CASE 3: Y=5, X=0 X/Y Will be an integer
CASE 4: Y=-10, X=-20, Will be an integer
So this statement is not sufficient
STATEMENT 2: Y/X is an even integer
CASE 1: Y=0 X=3 ,X/Y Will be UNDEFINED
CASE 2: Y=10 X=5, X/Y Will not be an integer
CASE 3: Y=-20, X=5, X/Y Will not be an integer.
HENCE B IS SUFFICIENT.
ANSWER B
Statement 1 : Y>X
Case 1: Y=0, X=-1 , X/Y Will be undefined.
Case 2: Y=2, X=1, X/Y Will be not an integer
CASE 3: Y=5, X=0 X/Y Will be an integer
CASE 4: Y=-10, X=-20, Will be an integer
So this statement is not sufficient
STATEMENT 2: Y/X is an even integer
CASE 1: Y=0 X=3 ,X/Y Will be UNDEFINED
CASE 2: Y=10 X=5, X/Y Will not be an integer
CASE 3: Y=-20, X=5, X/Y Will not be an integer.
HENCE B IS SUFFICIENT.
ANSWER B
12 Apr 2016, 20:26
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Vyshak
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
. 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. 
