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a>b

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a>b

by Lifetron » Thu Jun 28, 2012 12:23 am
Is a>b ?

(i)a=b^2
(ii)a=(b+2)

The answer is pretty easy. But, I need a workflow. I did this by substituting
+ve and -ve integers, +ve and -ve fractions for each option. Is there any other easier/quick way ?
Thank you.

OA is B
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by Anurag@Gurome » Thu Jun 28, 2012 1:31 am
gughanbose wrote:Is a>b ?

(i)a=b^2
(ii)a=(b+2)
When comparison of powers are involved, always remember that
  • for x > 1 ---> 1 < x < x² < x³ < ...
    for 0 < x < 1 ---> 1 > x > x² > x³ > ... > 0
Statement 1: a = b²
We can't say whether a > b or not.
For example,
  • For a = 1, b = 1 --> a = b
    For a = 2, b = 1 --> a > b
Not sufficient

Statement 2: a = (b + 2) > b

Sufficient

The correct answer is B.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

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