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28 Feb 2013, 07:23
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
52% (01:26) correct
48%
(01:14)
wrong
based on 123
sessions
History
Date
Time
Result
Not Attempted Yet
28 Feb 2013, 08:51
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Is x an odd number?
1) \(n^x = 1\)
2) \(n^2\) is a prime number.
Statement 1) - n = 1, x = any number - Insufficient
Statement 2) - \(n^2\) = Prime number, so "n" must be square root of a prime number. No info about x- Thus Insufficient
Statement 1& 2) - Because "n" is a square root of a prime number, the only condition when \(n^x = 1\) is if x= 0.
As we know "Zero (0)" is an Even Integer so the answer is "NO" - Thus sufficient
Hence Answer is C
Hope it helps.
Fame
1) \(n^x = 1\)
2) \(n^2\) is a prime number.
Statement 1) - n = 1, x = any number - Insufficient
Statement 2) - \(n^2\) = Prime number, so "n" must be square root of a prime number. No info about x- Thus Insufficient
Statement 1& 2) - Because "n" is a square root of a prime number, the only condition when \(n^x = 1\) is if x= 0.
As we know "Zero (0)" is an Even Integer so the answer is "NO" - Thus sufficient
Hence Answer is C
Hope it helps.
Fame
28 Feb 2013, 09:09
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if n^2 is prime, then n=1 or n=-1
n^(x)=1 => if n=1, is true for any x ;
=> if n=-1, is true only if x is odd;
I cannot say if x is odd...
for example n=1
n^2=1^2=1 OK
n^(odd x)=1 OK
n^(even x)=1 OK
IMO E
n^(x)=1 => if n=1, is true for any x ;
=> if n=-1, is true only if x is odd;
I cannot say if x is odd...
for example n=1
n^2=1^2=1 OK
n^(odd x)=1 OK
n^(even x)=1 OK
IMO E
) Nothing is mentioned about x. Insufficient
