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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]  28 Dec 2008, 07:29
If z^n=1, what is the value of z?

(1) n is a nonzero integer
(2) z>0

????
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Re: D/S math [#permalink]  28 Dec 2008, 08:22
both statements itself suff. ans D
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Re: D/S math [#permalink]  28 Dec 2008, 08:49
z^n = 1 is possible for all values of z when n = 0

1st statemnet tells us n is nonzero integer.
So if this is true than only possible value of z is 1 OR (-1) when n is even integer

2nd statement tell us z >0

so the only value that satisfy the condition is 1

Ans is (c)
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Re: D/S math [#permalink]  28 Dec 2008, 12:30
hoogie wrote:
If z^n=1, what is the value of z?

(1) n is a nonzero integer
(2) z>0

????

Z ^ n =1 can be satisfied by

(A) 1 ^ 1 = 1

(B) ( any number ) ^ 0 = 1

(C) 1 ^ ( any +ve number) =1

(1) is saying n!=0 So we have (A) and (C) remaining. Both point that Z=1. Suff

(2) is saying Z>0. Z can be 1,2,3,5... Insuff

I got A
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Re: D/S math [#permalink]  28 Dec 2008, 13:36
AmitGUPTA wrote:
z^n = 1 is possible for all values of z when n = 0

1st statemnet tells us n is nonzero integer.
So if this is true than only possible value of z is 1 OR (-1) when n is even integer

2nd statement tell us z >0

so the only value that satisfy the condition is 1

Ans is (c)

i agree with amit gupta.
statement 1 gives 2 values and both statement together gives one value for Z
VP
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Re: D/S math [#permalink]  28 Dec 2008, 13:45
Totally blew up the -1 part. I can see why A is wrong.
Re: D/S math   [#permalink] 28 Dec 2008, 13:45
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