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og10-qn-262

by kishokbabu » Thu Jan 12, 2012 5:12 am
IS Z^n=1, what is the value of Z ?

1) n is a non zero integer
2) Z>0

I cannot understand the explanation givin in OG? can anyone expalin this qn
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Source: — Data Sufficiency |
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by sam2304 » Thu Jan 12, 2012 6:04 am
kishokbabu wrote:IS Z^n=1, what is the value of Z ?

1) n is a non zero integer
2) Z>0

I cannot understand the explanation givin in OG? can anyone expalin this qn
z^n=1
1.z^n = 1 if z = 1 and n takes any value. 1^n = 1
z^n = 1 if z = -1 and n takes even value as negative value raised to even power gives positive outcome. So z = -1 or 1. INSUFF

2.Z > 0 so z cannot be negative.
z^n = 1, if n = 0 and z = 1 or 2 or 3 or any value as a^0 = 1
z^n = 1, if n != 0 and z = 1.
Z takes more than one value. INSUFF.

Combining both we get z =1 as n !=0 and z > 0.

IMO C.

What is the OG explanation by the way, and which part you couldn't understand ?
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by ArunangsuSahu » Thu Jan 12, 2012 7:59 am
Statement 1:
z=-1 or 1 with n=2..INSUFFICIENT

Statement 2:
1^1=1
2^0=1

INSUFFICIENT

Combining
(C) is the answer
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