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04 Jul 2019, 06:24
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If x,y belong to set of integers, is \(x^y\) even?
(1) x is even
(2) y is even
(1) x is even
(2) y is even
GMATbuster's Collection
05 Jul 2019, 03:59
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1) X is even : When y = 0 the result will be odd. When y is any number apart of 0 , it will be even. Two possibilities. Not sufficient.
2) y is even : We don't know the value of X. Can't really determine whether the result will be odd or even.
Even after combining both statements, there is no single result. Both X and Y are even. Let's say if x = 2 and Y = 2 , the value is 4 which is an even number. If x = 2 and Y is 0 the value is 1 which is an odd number. Two possibilities , still insufficient.
Please note 0 is a non negative even integer.
I felt this question makes us fall into the trap by making it look very easy.
Posted from my mobile device
2) y is even : We don't know the value of X. Can't really determine whether the result will be odd or even.
Even after combining both statements, there is no single result. Both X and Y are even. Let's say if x = 2 and Y = 2 , the value is 4 which is an even number. If x = 2 and Y is 0 the value is 1 which is an odd number. Two possibilities , still insufficient.
Please note 0 is a non negative even integer.
I felt this question makes us fall into the trap by making it look very easy.
Posted from my mobile device
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