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jaspreetsra
- Master | Next Rank: 500 Posts
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Target question: Is y POSITIVE?jaspreetsra wrote:if x < 0, is y > 0?
1) x/y < 0
2) y - x > 0
Given: x is NEGATIVE
Statement 1: x/y < 0
We already know that x is NEGATIVE.
So, statement 1 tells us that (some NEGATIVE number)/y = a negative number.
We know that negative/negative = positive, and negative/positive = negative.
So, it must be the case that y is positive.
Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: y - x > 0
Add x to both sides to get: y > x
In other words, y is greater than x
We're told that x is NEGATIVE, so statement 2 just tells us that y is greater than some negative value.
There are several values of x and y that satisfy this condition. Here are two:
Case a: x = -3 and y = 1, in which case y is POSITIVE
Case b: x = -3 and y = -2, in which case y is NEGATIVE
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT
Answer = A
Cheers,
Brent
