if number and its reciprocal on subraction gives 0, then that implies that the number is equal to its reciprocal.
only 1 satisfies this condition.
we have two choices, any integer to the power of 0 gives 1
or else 1 to the power of any value.
stmt 1) x is integer no information on n , hence X could be 0 or 1
INSUFF
stmt 2) n!= 0 , implies x has to be 1 , but it can be -1 or +1.
INSUFF
hence E
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Source: Beat The GMAT — Data Sufficiency |
x^n = 1/x^n
Stmt I
x could be 1,2,3,4 etc... if n=0
x could be -1 if n is 1
Many possibilities
INSUFF
Stmt II
n is not 0
x could be 1 or -1
INSUFF
Stmt I and II
-1 and 1 atre both intgers and n could be 1
INSUFF
E)
Stmt I
x could be 1,2,3,4 etc... if n=0
x could be -1 if n is 1
Many possibilities
INSUFF
Stmt II
n is not 0
x could be 1 or -1
INSUFF
Stmt I and II
-1 and 1 atre both intgers and n could be 1
INSUFF
E)
we can rearrange the eqn as x^2n=1
from 1 we have x is an integer
we can have x as any integer as long as n=0 or x=-1 or 1 and n can take any value. hence insuff.
from 2 we have n is not equal to 0. still x can be -1 or 1.
hence insuf.
combining
we have x can be -1 or 1
hence E.
from 1 we have x is an integer
we can have x as any integer as long as n=0 or x=-1 or 1 and n can take any value. hence insuff.
from 2 we have n is not equal to 0. still x can be -1 or 1.
hence insuf.
combining
we have x can be -1 or 1
hence E.
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