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# If x and y are non negative integers, what is the value of x and y

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If x and y are non negative integers, what is the value of x and y  [#permalink]

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11 Apr 2019, 23:40
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Difficulty:

55% (hard)

Question Stats:

67% (00:57) correct 33% (01:13) wrong based on 9 sessions

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If x and y are non negative integers, what is the value of x and y?

(1) $$x^4$$ is even, where x is prime number
(2) $$x^y$$is odd

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If x and y are non negative integers, what is the value of x and y  [#permalink]

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11 Apr 2019, 23:47
2
If x and y are non negative integers, what is the value of x and y?

(1) $$x^4$$ is even, where x is prime number
Only possibility is x=2, but nothing about y
Insuff

(2) $$x^y$$is odd
We cannot find unique value of any of the variable
Insuff

Combined..
$$2^y$$ is odd..
But base is 2, so the term should be even except when y=0 as $$2^0=1$$.
Thus x=2 and y=0.
Suff

C
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Re: If x and y are non negative integers, what is the value of x and y  [#permalink]

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12 Apr 2019, 11:07
themindful wrote:
If x and y are non negative integers, what is the value of x and y?

(1) $$x^4$$ is even, where x is prime number
(2) $$x^y$$is odd

by non -ve integers , we consider 0 also
#1
$$x^4$$ is even, where x is prime number
x=2 ; y not know insufficient
#2
$$x^y$$is odd[/quote]
x has to be odd or 1 ; insufficeint
from 1 & 2
x=2 and y=0 sufficient
IMO C
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Re: If x and y are non negative integers, what is the value of x and y  [#permalink]

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12 Apr 2019, 12:24
themindful wrote:
If x and y are non negative integers, what is the value of x and y?

(1) $$x^4$$ is even, where x is prime number
(2) $$x^y$$is odd

st1: clearly tells that x has to be even, but x is prime. Only option x= 2; but it tell nothing about y
st2: tells nothing about x and y
combining both yields y to be 1. therefore x= 2 and y = 1
Opt. C
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Re: If x and y are non negative integers, what is the value of x and y   [#permalink] 12 Apr 2019, 12:24
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