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# If x and y are integers, is x^y odd?

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Intern
Joined: 09 Apr 2017
Posts: 31
Location: Nepal
Concentration: Finance, Entrepreneurship
WE: Information Technology (Computer Software)
If x and y are integers, is x^y odd?  [#permalink]

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27 Aug 2018, 05:21
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Difficulty:

95% (hard)

Question Stats:

18% (01:44) correct 82% (01:23) wrong based on 141 sessions

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If x and y are integers, is xy odd?

(1) x^y is odd.

(2) x + y is even.
Intern
Joined: 09 Apr 2017
Posts: 31
Location: Nepal
Concentration: Finance, Entrepreneurship
WE: Information Technology (Computer Software)
Re: If x and y are integers, is x^y odd?  [#permalink]

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27 Aug 2018, 05:26
4
Found the answer to this as E on manhattan.
My solution:
1.
Since x^y is odd so X has to be odd.
Insufficient

2. If x + y is even

X and Y are either both odd or even.

Combining these two we can say since X is odd so Y is also odd, hence xy is also odd.
Senior Manager
Joined: 22 Feb 2018
Posts: 426
If x and y are integers, is x^y odd?  [#permalink]

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27 Aug 2018, 05:39
1
1
pratik2018 wrote:
If x and y are integers, is xy odd?

(1) x^y is odd.

(2) x + y is even.

OA: E

(1) $$x^y$$ is odd
Take $$x =2 , y =0$$ then $$x^y$$ will be $$2^0=1$$ odd
is xy odd? : No as 2*0=0 , Zero is even

Take $$x =3 , y =1$$ then $$x^y$$ will be $$3^1=3$$ odd
is xy odd? : Yes as 3*1=3 , Three is odd
Statement 1 alone is not sufficient.

(2) x + y is even
Take $$x =2 , y =0$$ then $$x+y$$ will be $$2+0=2$$ even
is xy odd? : No as 2*0=0 , Zero is even

Take $$x =3 , y =1$$ then $$x+y$$ will be $$3+1=4$$ even
is xy odd? : Yes as 3*1=3 , Three is odd
Statement 2 alone is not sufficient.

Combining 1 and 2 will also be insufficient as we have used the same value(3,1) for yes answer and (2,0) for no answer in both statements.
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Manager
Joined: 22 Jun 2017
Posts: 71
Location: Brazil
GMAT 1: 600 Q48 V25
GPA: 3.5
WE: Engineering (Energy and Utilities)
Re: If x and y are integers, is x^y odd?  [#permalink]

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27 Aug 2018, 05:45
1
If x and y are integers, is xy odd?

(1) $$x^y$$ is odd.

X is odd or/and Y = 0

Insufficient

(2) x + y is even.

X and Y are either both odd or even.

Insufficient

(1)+(2)

If Y =0 > X = even. So, xy = 0 even

If X = odd, Y = odd. So, xy = odd

Insufficient

Option E
Intern
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Posts: 31
Location: Nepal
Concentration: Finance, Entrepreneurship
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Re: If x and y are integers, is x^y odd?  [#permalink]

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07 Feb 2019, 04:58
Manager
Joined: 27 Oct 2017
Posts: 64
Re: If x and y are integers, is x^y odd?  [#permalink]

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08 Mar 2019, 12:56
But if the question prompt would have said x and y are integers greater than zero, the answer would have been C. please let me know, if I am wrong.
Manager
Joined: 19 Jan 2019
Posts: 77
Re: If x and y are integers, is x^y odd?  [#permalink]

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08 Mar 2019, 20:22
arorni wrote:
But if the question prompt would have said x and y are integers greater than zero, the answer would have been C. please let me know, if I am wrong.

Yes.. if X and y were integers greater than zero than the answer would have been C...

Posted from my mobile device
Manager
Joined: 27 Oct 2017
Posts: 64
Re: If x and y are integers, is x^y odd?  [#permalink]

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09 Mar 2019, 10:56
thyagi wrote:
arorni wrote:
But if the question prompt would have said x and y are integers greater than zero, the answer would have been C. please let me know, if I am wrong.

Yes.. if X and y were integers greater than zero than the answer would have been C...

Posted from my mobile device

Oh ok.. thanks.
Re: If x and y are integers, is x^y odd?   [#permalink] 09 Mar 2019, 10:56
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