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08 Sep 2019, 21:52
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
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67% (01:04) correct
33%
(01:20)
wrong
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If \(x ≠ 0\) and \(x^y = 1\) what is the value of x?
(1) y is an integer
(2) x is a positive number
08 Sep 2019, 23:05
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IMO answer is option E
Posted from my mobile device
Posted from my mobile device
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09 Sep 2019, 00:03
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Given x!=0, and x^y=1
We are to determine the value of x.
From statement 1, we know that y is an integer.
Let y=2
Then x^2=1 means either x=1 or x=-1,
Hence not sufficient.
From statement 2, we know that x>0.
Let y=0
Then x^0=1, This means that x can have an infinite number of positive numbers which satisfy the equation x^0=1.
Hence 2 is also not sufficient.
(1)+(2)
x>0 and y is an integer.
y is an integer means y can still equal 0,
in which case x^0=1 and x still having an infinite number of possibilities that satisfy the given equation.
The answer is therefore E.
Posted from my mobile device
We are to determine the value of x.
From statement 1, we know that y is an integer.
Let y=2
Then x^2=1 means either x=1 or x=-1,
Hence not sufficient.
From statement 2, we know that x>0.
Let y=0
Then x^0=1, This means that x can have an infinite number of positive numbers which satisfy the equation x^0=1.
Hence 2 is also not sufficient.
(1)+(2)
x>0 and y is an integer.
y is an integer means y can still equal 0,
in which case x^0=1 and x still having an infinite number of possibilities that satisfy the given equation.
The answer is therefore E.
Posted from my mobile device
