IS a^n>b^n

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vinayreguri: Junior | Next Rank: 30 Posts; Posts: 29; Joined: Sat May 07, 2011 6:16 am

by vinayreguri » Sun Jun 12, 2011 8:27 am

IS a^n > b^n ?
1. a > b
2. n is any +ve integer.

E

Same question different options
1. 1/a > 1/b
2. n is an integer

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Source: Beat The GMAT — Data Sufficiency | Sun Jun 12, 2011 8:27 am

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

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.

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Frankenstein: Legendary Member; Posts: 1448; Joined: Tue May 17, 2011 9:55 amFollowed by: 53 members; Location: India; Thanked: 375 times

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!

Things are not what they appear to be... nor are they otherwise

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GMAT/MBA Expert

Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

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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