BTGmoderatorDC wrote:If x is not equal to -y, is (x-y)/(x+y) > 1?
(1) x > 0
(2) y < 0
OA E
Source: Official Guide
Given: x ≠-y or x + y ≠0.
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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