Statement 1:jack0997 wrote:Is x > y?
(1) |x| > |y|
(2) x ‚+ y > 0
OA C
|x| > |y|
ƒ=> x > y . . . (i): The answer is 'Yes.'
OR
x < -y . . . (ii): The answer is 'No.'
Thus, the answer cannot be uniquely determined. - Insufficient
Statement 2:
x ‚+ y > 0
ƒ=> x > -y . . . (iii)
Case 1: If y < 0: -y > 0 ƒ=> x > -y > 0
Thus, x is positive, hence is greater than y, which is negative: The answer is 'Yes.'
Case 2: If y > 0
We cannot determine whether x is also greater than the positive number y.
The answer may be 'Yes' or 'No.'
Thus, we cannot uniquely determine whether x > y. - Insufficient
Statement 1 & 2 together:
Conditions (ii) and (iii) contradict each other.
Thus, (ii) is not a possible scenario since we know that condition (iii) is true.
Thus, we have:
x > y . . . (i)
AND
x > -y . . . (iii)
The above two conditions are possible simultaneously, for example, if
x ƒ = 2 and y ƒ= 1
x ƒ = 2 and y ƒ = -1
Thus, x > y.
The answer to the question is 'Yes.' - Sufficient
The correct answer: C
Hope this helps!
Relevant book: Manhattan Review GMAT Data Sufficiency Guide
-Jay
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