If x ≠-y, is (x-y)/(x+y) > 1?
(1) x>0
(2) y<0
Source : GMATPrep
OA=E
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If x ≠-y, is (x-y)/(x+y) > 1? (1) x>0 (2) y<0
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ziyuenlau wrote:If x ≠-y, is (x-y)/(x+y) > 1?
(1) x>0
(2) y<0
Statements combined:
Case 1: x=1, y=-2
In this case, (x-y)/(x+y) = 3/-1 = -3, so the answer to the question stem is NO.
Case 2: x=2, y=-1
In this case, (x-y)/(x+y) = 3/1 = 3, so the answer to the question stem is YES.
Since the answer is NO in Case 1 but YES in Case 2, the two statements combined are INSUFFICIENT.
The correct answer is E.
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Question: Is (x-y)/(x+y) > 1?ziyuenlau wrote:If x ≠-y, is (x-y)/(x+y) > 1?
(1) x>0
(2) y<0
Source : GMATPrep
OA=E
Statement 1: x > 0
We can tame this question with the help of smart test values.
We see that @y=0, (x-y)/(x+y) = 1 not greater than 1, the answer is NO.
@y=-1, and x = 2, (x-y)/(x+y) = 3 > 1, the answer is YES. Insufficient
Statement 2: y < 0
We have already seen that @y=-1, and x = 2, (x-y)/(x+y) = 3 > 1, the answer is YES.
@y=-3, and x = 2, (x-y)/(x+y) = -5 not greater than 1, the answer is NO. Insufficient
Statement 1 & 2
Both the test values analyzed in statement 2 also apply here, thus, both the statements are insufficient.
The correct answer: E
Hope this helps!
Relevant book: Manhattan Review GMAT Data Sufficiency Guide
-Jay
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