NandishSS
Is x+y > 0?
(1) x > y
(2) x + y -1 >0
Target question: Is x+y > 0? Statement 1:x > y This statement doesn't
FEEL sufficient, so I'll TEST some values.
There are several values of x and y that satisfy statement 1. Here are two:
Case a: x = 1 and y = 0, in which case
x + y = 1 + 0 = 1. Here, x + y > 0Case b: x = 0 and y = -1, in which case
x + y = 0 + (-1) = -1. Here, x + y < 0Since we cannot answer the
target question with certainty, statement 1 is NOT SUFFICIENT
Aside: For more on this idea of plugging in values when a statement doesn't feel sufficient, you can read my article: https://www.gmatprepnow.com/articles/dat ... lug-values Statement 2: x + y -1 >0Add 1 to both sides of the inequality to get: x + y > 1
Since we also know that 1 > 0, we can write: x + y > 1 > 0
At this point, we can see that
x + y > 0Since we can answer the
target question with certainty, statement 2 is SUFFICIENT
Answer =
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