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OG 11, DS #126

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Source: — Data Sufficiency |
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by banona » Sat Feb 17, 2007 9:19 am
Hi,
let's try on this one;
Z^n = 1; many possibilities are ther.
As you know any number that is rised to 0 is equal to 1; You may also think of picking numbers to see that ; if n is odd (>0) then Z sould be 1, but if n is even (>0) then Z may be 1 or (-1); Therfore, this first stem can lead to many solutions;

1) tells that n is a non zero integer, that's fine because it eliminates the infinite possibilities of Z. , BUT this doesnt help to get a specific solution as just explained above

2) States for Z >0, we should pay attention that for Z to be equal to 1, n must be non zero inetger; which is just stated in the first option;

Thus, answer is C;

good luck
I appologize for my Frenchy-English.
I am working on it.
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by jaheer » Mon Feb 19, 2007 7:17 am
Thank you.


-ve integers sometime slip out of my mind. I've gotta keep track of them.
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by bcwinans » Fri Feb 27, 2009 11:29 am
I understand the logic behind the answer, but I'm still a tad confused because I don't understand why z cannot be a non-integer, like the square root of 1.

IF
1) n is a nonzero integer
AND
2) z > 0
z could be the sqroot of 1

An example of this is when n = 2 (satisfying condition 1)
z = 1 (satisfying condition 2)

BUT when n = 1 (satisfying condition 1)
z = sqroot 1 (satisfying condition 1)

which would mean we could not solve for z based on this information.

Am I missing something obvious?

Thanks for your help!
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by Ian Stewart » Fri Feb 27, 2009 1:10 pm
bcwinans wrote:I understand the logic behind the answer, but I'm still a tad confused because I don't understand why z cannot be a non-integer, like the square root of 1.
...
Am I missing something obvious?
Perhaps! The positive square root of 1 is equal to 1, which maybe is the fact you're missing here. And of course, the square root of 1 is thus an integer.
For online GMAT math tutoring, or to buy my higher-level Quant books and problem sets, contact me at ianstewartgmat at gmail.com

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by bcwinans » Fri Feb 27, 2009 1:27 pm
Yes, I clearly was missing something. Thanks, Ian. I think I need a nap!
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