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## gmat prep question

This topic has 2 member replies
yvonne12 Master | Next Rank: 500 Posts
Joined
07 Feb 2007
Posted:
144 messages

#### gmat prep question

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??

yvonne12 Master | Next Rank: 500 Posts
Joined
07 Feb 2007
Posted:
144 messages
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...

jayhawk2001 Community Manager
Joined
28 Jan 2007
Posted:
789 messages
Followed by:
1 members
30
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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