If z^n=1, what is the value of z? 1. n is a nonzero integer : DS Archive
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# If z^n=1, what is the value of z? 1. n is a nonzero integer

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If z^n=1, what is the value of z? 1. n is a nonzero integer [#permalink]

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22 Aug 2006, 05:09
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If z^n=1, what is the value of z?

1. n is a nonzero integer
2. z>0

Edited for clarity Thanx Gmatornot! Sorry for the confusion.

Last edited by GMATT73 on 22 Aug 2006, 07:30, edited 2 times in total.
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22 Aug 2006, 05:18
GMATT73 wrote:
If z^n=1, what is the value of z?

1. z is a nonzero integer
2. z>0

1. z could be -1, or 1 with n is not equal to 0. z could also be 2 with n=0.
2. z could be 1 (n=1,2,3,4,5,6.............), 2 (n=0), 3(n=0), 4(n=0), 5(n=0) and so on..

so E.
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22 Aug 2006, 05:36
Professor wrote:
GMATT73 wrote:
If z^n=1, what is the value of z?

1. z is a nonzero integer
2. z>0

1. z could be -1, or 1 with n is not equal to 0. z could also be 2 with n=0.
2. z could be 1 (n=1,2,3,4,5,6.............), 2 (n=0), 3(n=0), 4(n=0), 5(n=0) and so on..

so E.

Looks like you overlooked a step professor.

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22 Aug 2006, 06:17
this is E...

we dont know what n is, if n=0...then any value z will yield a 1...
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22 Aug 2006, 06:20
fresinha12 wrote:
this is E...

we dont know what n is, if n=0...then any value z will yield a 1...

The OA and OE from the OG11 doesnt see it that way...
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22 Aug 2006, 07:25
fresinha12 wrote:
just what does OG 11 say?

GMATT73 wrote:
fresinha12 wrote:
this is E...

we dont know what n is, if n=0...then any value z will yield a 1...

The OA and OE from the OG11 doesnt see it that way...

OE Ver batem from the OG:

(1) From this it is known that n is a non-zero integer, and since z^n=1, it follows that z is either 1 or -1...... NOT sufficient.

(2) While it is known from this that z is positive, if n were 0, any positive value of z would satisfy z^n = 1... NOT sufficient

Taken together limits z to 1.

(C)

Trixy eh? I finally got it after keying in the OE..
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22 Aug 2006, 07:26
There is a typo here...

If z^n=1, what is the value of z?

1. z should be n is a nonzero integer
2. z>0

Q126 page 288
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22 Aug 2006, 10:42
gmatornot wrote:
There is a typo here...

If z^n=1, what is the value of z?

1. z should be n is a nonzero integer
2. z>0

Q126 page 288

nowdays we are getting more questions with typos.

one more here too: http://www.gmatclub.com/phpbb/viewtopic ... ht=#232035

GMATT73 wrote:
If z^n=1, what is the value of z?

1. n is a nonzero integer
2. z>0

Edited for clarity Thanx Gmatornot! Sorry for the confusion.
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22 Aug 2006, 10:44
No problem GMATT73 .. looks like you are really studying hard for the test ! Hope you crack it....
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22 Aug 2006, 19:20
gmatornot wrote:
No problem GMATT73 .. looks like you are really studying hard for the test ! Hope you crack it....

Thanks for the encouragement gmatornot. Actually, all I want to do is break a 600. No super high expectations because I am not a wizard at Q. Just been consistently doing problems from this website and textbooks (OG and Kaplan) while making/reviewing a categorized error log. My last score was a 590 (Q40 V30), not quite enough to get into my target school (600 mean) so it`s time to fight for that last inch! See you in the forum.

Matt
22 Aug 2006, 19:20
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