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10 Aug 2010, 14:58
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
80% (00:54) correct
20%
(00:56)
wrong
based on 332
sessions
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10 Aug 2010, 15:04
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Bull78
Is \(X > 0\) ?
1) \(xy>0\)
2) \(x+y>0\)
1) \(xy>0\)
2) \(x+y>0\)
From Statement 1, x and y have the same sign. Not sufficient, since both could be negative.
From Statement 2, x and y could certainly both be positive, but it might be that x = -1 and y = 2, say. Not sufficient.
Taken together, we know from statement 1 that x and y share the same sign. Could they both be negative? No, because if they were, x+y would need to be negative, and that's not the case, as we learn from statement 2. So both x and y need to be positive, and the answer is C.
General Discussion
11 Aug 2010, 19:10
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Bull78
Is \(X > 0\) ?
1) \(xy>0\)
2) \(x+y>0\)
1) \(xy>0\)
2) \(x+y>0\)
Statement A:
xy > 0
(x, y) could be (-ve, -ve) or (+ve, +ve). Since there are two scenarios, we can't say whether x is +ve.
Insufficient.
Statement B:
x + y > 0
(x,y) can be (3, 4) or (7, -6) or (-8, 25). Hence cannot say x is +ve.
Insufficient.
Combining Statement A & B, xy > 0 & x+y > 0.
(x, y) could be (+ve, +ve) and not (-ve, -ve).
(x,y) can be (3, 4) and not (7, -6) or (-8, 25).
Hence statement A and B can be used together and not alone to answer this question.
Answer : C.
