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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
38% (01:38) correct
62%
(01:24)
wrong
based on 228
sessions
History
Date
Time
Result
Not Attempted Yet
\(a^3 - b^2 > 0?\)
1. b > 0
2. a > |b|
1. b > 0
2. a > |b|
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
06 May 2017, 22:39
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rajarshee
Hi,
I do not think the answer should be B, it has to be E and this is WHY...
\(a^3-b^2>0\)...
Here b^2 will always be POSITIVE, so -b^2 will be NEGATIVE..
a^3 will depend on a...
Let's see the statements..
1) b>0..
We have b^2 which is always POSITIVE, so b >0 really doesn't help much..
Insufficient
2) a>|b|
This tells us that a is positive and also GREATER than numeric value of b..
If a >1, a^3 will be greater than b^2 and so ans will always be YES..
But if a is between 0 and 1, and will vary..
Say a=0.2 and b=0.1.....
Hence a>|b| but a^3=0.2^3=0.008 and b^2=0.1^2=0.01.... 0.01>0.008 or b^2>a^3
Now if a=0.9 and b=0.1 ....... a>|b| and a^3>b^2
So different answers
Insufficient..
Combined nothing new ..
Insufficient
E
06 May 2017, 22:42
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IMHO B
Statement 1: b>0 doesn't tell anything about a. So insufficient.
Statement 2: a>|b| tells us a is positive and its value greater than absolute value of b.
Therefore a^2 >b^2 and since a is positive a^3>b^2
a^3-b^2>0
Sufficient
Ans B
Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app
Statement 1: b>0 doesn't tell anything about a. So insufficient.
Statement 2: a>|b| tells us a is positive and its value greater than absolute value of b.
Therefore a^2 >b^2 and since a is positive a^3>b^2
a^3-b^2>0
Sufficient
Ans B
Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app
