Bunuel wrote:
Tough and Tricky questions: Inequalities.
If x and y cannot be equal to zero, is x/y > y/x ?
(1) x > y
(2) xy > 0
Kudos for a correct solution.Source: Chili Hot GMAT
STATEMENT 1:
I create two scenarios that match the condition of Statement 1 to see how they would answer the question in the premise.
Scenario 1: If x = 1 and y = -2, then 1/(-2) > (-2)/1. Answer to question would be YES.
Scenario 2: If x = -1 and y = -2, then (-1)/(-2) < (-2)/(-1). Answer to question would be NO.
Since I get different answers, Statement 1 is insufficient.
Eliminate A and D
STATEMENT 2:
Scenario 1: If x = 1 and y = 2, then 1/2 < 2/1. Answer to this question would be NO.
Scenario 2: If x = 2 and y = 1, then 2/1 > 1/2. Answer to this question would be YES.
Since I get different answers, Statement 2 is insufficient.
Eliminate B.
STATEMENT 1 and 2:
In this, I have to meet both statements in my scenarios.
(1) x > y
(2) xy > 0
Scenario 1: If x = 2 and y = 1, then 2/1 > 1/2. The answer would be YES.
Scenario 2: If x = -1 and y = -2, then -1/-2 < -2/-1. The answer would be NO.
Eliminate C.
Correct answer: E.