If x is not equal to y, is (xy)/(x+y) > 1?
(1) x > 0
(2) y < 0
OA E
Source: Official Guide
If x is not equal to y, is (xy)/(x+y) > 1?
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Given: x â‰ y or x + y â‰ 0.BTGmoderatorDC wrote:If x is not equal to y, is (xy)/(x+y) > 1?
(1) x > 0
(2) y < 0
OA E
Source: Official Guide
We have to determine whether (x  y)/(x + y) > 1
Let's take each statement one by one.
(1) x > 0
Case 1: Say x = 1 and y = 2
Thus, we have (x  y)/(x + y) = (1  2)/(1 + 2) = 1/3 < 1. The asnwer is no.
Case 2: Say x = 2 and y = 1
Thus, we have (x  y)/(x + y) = (2 + 1)/(2  1) = 3 > 1. The asnwer is yes.
No unique answer. Insufficient.
(2) y < 0
Case 2: Say y = 1 and x = 2
Thus, we have (x  y)/(x + y) = (2 + 1)/(2  1) = 3 > 1. The asnwer is yes.
Case 2: Say y = 2 and x = 1
Thus, we have (x  y)/(x + y) = (1 + 2)/(1  2) = 3 < 1. The asnwer is no.
No unique answer. Insufficient.
(1) and (2) together
Both the cases discussed in Statement 2 are applicable here, too. Insufficient.
The correct answer: E
Hope this helps!
Jay
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I'm so glad I have an answer. Thank you so much for sharing!
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Last edited by polinkuer12 on Fri Jan 26, 2024 6:15 pm, edited 2 times in total.