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gmat prep question

Expert replies
by yvonne12 » Sun Apr 15, 2007 6:00 pm
if z^n=1 whaty is the value of z

1. n is a non zero integer

2. z>0

I thought it was A since, z^n=1 and n is non zero z must be 1 becuase n could've been 0.

why is it both??
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Source: — Data Sufficiency |

Re: gmat prep question

by jayhawk2001 » Sun Apr 15, 2007 9:00 pm
yvonne12 wrote:if z^n=1 whaty is the value of z

1. n is a non zero integer

2. z>0

I thought it was A since, z^n=1 and n is non zero z must be 1 becuase n could've been 0.

why is it both??
1 tells us that z can be +1 or -1. Based on whether n is even or odd,
we can get z^n = 1. Hence insufficient.

2 tells us that z > 0 which is insufficient by itself. If n is zero, z^n =1 for
any value of z > 0

Taking 1 and 2, we get z = +1.

Hence C
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yes

by yvonne12 » Mon Apr 16, 2007 4:30 pm
yes, of course, I forgot about the sign difference. Geez thats something that I should automatically know by now.... 13 more days to go...
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