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IS a^n>b^n

Expert replies
Source: — Data Sufficiency |

by Anurag@Gurome » Sun Jun 12, 2011 8:32 am
vinayreguri wrote:IS a^n > b^n ?
1. a > b
2. n is any +ve integer.


Statement 1: Say n = 2
If a = 3 and b = 2 --> a^n > b^n
If a = -2 and b = -3 --> a^n < b^n

Not sufficient

Statement 2: Same example as above.

Not sufficient

1 & 2 Together: Same example as above.

Not sufficient

The correct answer is E.
Anurag Mairal, Ph.D., MBA
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by Frankenstein » Sun Jun 12, 2011 8:33 am
Hi,
From(1): a>b
Let a=-1, b=-2
if n=2, a^n < b^n
if n=3, a^n > b^n
Insufficient
From(2): No info. about a,b
Insufficient

Both(1) & (2): Let a=-1, b=-2
if n=2, a^n < b^n
if n=3, a^n > b^n
Insufficient

Hence, E
Cheers!

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by Anurag@Gurome » Sun Jun 12, 2011 8:35 am
vinayreguri wrote:IS a^n > b^n ?
1. 1/a > 1/b
2. n is an integer


Statement 1: Say n = 2
If a = 2 and b = 3 --> a^n < b^n
If a = -3 and b = -2 --> a^n > b^n

Not sufficient

Statement 2: Same example as above.

Not sufficient

1 & 2 Together: Same example as above.

Not sufficient

The correct answer is E.
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GMAT Expert, Admissions and Career Guidance
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