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kyatin
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if z^n = 1, what is the value of z? 1) n is non zero integer 21 Apr 2008, 22:03
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if z^n = 1, what is the value of z?

1) n is non zero integer
2) z > 0



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if z^n = 1, what is the value of z? 1) n is non zero integer 21 Apr 2008, 23:26
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kyatin
if z^n = 1, what is the value of z?

1) n is non zero integer
2) z > 0
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Given: 2 possibilities either n = 0 or z = +/- 1

1) => z = +/- 1 . insuff
2) insuff.

together suff.
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if z^n = 1, what is the value of z? 1) n is non zero integer 22 Apr 2008, 00:51
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C it is

Z^n =1 then we know either n=0 or z =1

now look at the options

n is non zero integer-> in sufficient as it does not give any info about Z
Z>0 -> now z is +ve

1& 2 together we have z=1 since z is +ve and for any value of n +/- it would always be 1
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if z^n = 1, what is the value of z? 1) n is non zero integer 22 Apr 2008, 03:23
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Hi, I went through the above reasoning. But I'm not completely convinced. I chose A. The working differs slightly...

By first condition
n is non zero which means n could be +1, +2....., -1, -2, .....
Now with the above condition and the premise that z^n=1, it can only possible if z=1. here z can't have any other value, else the question stem is proven to be inconsistent. Hence this condition is sufficient.

By second condition and the logic shared by the previous poster, it is insufficient.

Hence, A. Please comment.
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if z^n = 1, what is the value of z? 1) n is non zero integer 22 Apr 2008, 16:29
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I got D.

Similar to Dushver's response for A.

for B... if Z= any number, this would leave n=0 to make z^n=1 possible.

Where is my flaw?



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