ab =! 0
To Find: ab > a/b
Statement 1:
|b| > 1
--> b < -1 or b > 1
a b
+ + --> YES
- + --> NO
INSUFFICIENT
Statement 2:
ab > -a/b
a b
+ + --> YES
- + --> NO
+ - --> NO
- - --> YES
a & b have same sign.. but b can be less than one as well
INSUFFICIENT
Combining...
- a & b have same sign
- b < -1 or b > 1
So,
a b
+ + --> YES
- - --> YES
SUFFICIENT
Is the Answer [spoiler]{C}[/spoiler]
ab
This topic has expert replies
Source: Beat The GMAT — Data Sufficiency |
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Hi vinay1983,
Here's how you can use a mix of TESTing values and Number Properties against this DS prompt:
We're told that AB does NOT equal 0. We're asked if AB > A/B? This is a YES/NO question.
Fact 1: |B| > 1
B = 2
A = 1
Is 2 > 1/2 YES
B = -2
A = 1
Is -2 > -1/2 NO
Fact 1 is INSUFFICIENT
Fact 2: AB + A/B > 0
There's a number property in this Fact; both A and B are either positive OR negative
A = 1
B = 2
Is 2 > 1/2 YES
A = 2
B = 1
Is 2 > 2? NO
Fact 2 is INSUFFICIENT
Combined, since both A and B have the same "sign", AB = positive and A/B = positive.
Since | B | > 1, we know that multiplying A by B makes A "bigger" and dividing A by B makes A "smaller", so the answer to the question will ALWAYS be YES.
Final Answer: C
GMAT assassins aren't born, they're made,
Rich
Here's how you can use a mix of TESTing values and Number Properties against this DS prompt:
We're told that AB does NOT equal 0. We're asked if AB > A/B? This is a YES/NO question.
Fact 1: |B| > 1
B = 2
A = 1
Is 2 > 1/2 YES
B = -2
A = 1
Is -2 > -1/2 NO
Fact 1 is INSUFFICIENT
Fact 2: AB + A/B > 0
There's a number property in this Fact; both A and B are either positive OR negative
A = 1
B = 2
Is 2 > 1/2 YES
A = 2
B = 1
Is 2 > 2? NO
Fact 2 is INSUFFICIENT
Combined, since both A and B have the same "sign", AB = positive and A/B = positive.
Since | B | > 1, we know that multiplying A by B makes A "bigger" and dividing A by B makes A "smaller", so the answer to the question will ALWAYS be YES.
Final Answer: C
GMAT assassins aren't born, they're made,
Rich
