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# If x is a positive integer, is (x+y) even?

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Intern
Joined: 18 Jun 2012
Posts: 37
GMAT Date: 09-17-2012
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Kudos [?]: 95 [0], given: 26

If x is a positive integer, is (x+y) even? [#permalink]

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05 Aug 2012, 23:02
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If x is a positive integer, is (x+y) even?

(1) K^x*K^y =1
(2) K is not equal to 1

Last edited by Bunuel on 06 Aug 2012, 00:42, edited 1 time in total.
Edited the question.
Director
Joined: 22 Mar 2011
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WE: Science (Education)
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Kudos [?]: 819 [0], given: 43

Re: If x is a positive integer, is (x+y) even? [#permalink]

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06 Aug 2012, 00:54
ananthpatri wrote:
If x is a positive integer, is (x+y) even?

(1) K^x*K^y =1
(2) K is not equal to 1

(1) States $$K^{x+y}=1$$. If $$K = 1, x + y$$ can be odd or even. Not sufficient.

(2) Nothing about $$x + y$$. Not sufficient.

(1) and (2) together: Sufficient, because necessarily $$x + y = 0$$.

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Kudos [?]: 79503 [1] , given: 10018

Re: If x is a positive integer, is (x+y) even? [#permalink]

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06 Aug 2012, 01:03
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KUDOS
Expert's post
EvaJager wrote:
ananthpatri wrote:
If x is a positive integer, is (x+y) even?

(1) K^x*K^y =1
(2) K is not equal to 1

(1) States $$K^{x+y}=1$$. If $$K = 1, x + y$$ can be odd or even. Not sufficient.

(2) Nothing about $$x + y$$. Not sufficient.

(1) and (2) together: Sufficient, because necessarily $$x + y = 0$$.

x+y is not necessarily zero. If k=-1, then x+y can be ANY even number.
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Director
Joined: 22 Mar 2011
Posts: 612
WE: Science (Education)
Followers: 90

Kudos [?]: 819 [0], given: 43

Re: If x is a positive integer, is (x+y) even? [#permalink]

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06 Aug 2012, 01:08
Bunuel wrote:
EvaJager wrote:
ananthpatri wrote:
If x is a positive integer, is (x+y) even?

(1) K^x*K^y =1
(2) K is not equal to 1

(1) States $$K^{x+y}=1$$. If $$K = 1, x + y$$ can be odd or even. Not sufficient.

(2) Nothing about $$x + y$$. Not sufficient.

(1) and (2) together: Sufficient, because necessarily $$x + y = 0$$.

x+y is not necessarily zero. If k=-1, then x+y can be ANY even number.

You are absolutely right. Nothing stated about K! At least the answer is still C.
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PhD in Applied Mathematics
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Intern
Joined: 18 Jun 2012
Posts: 37
GMAT Date: 09-17-2012
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Kudos [?]: 95 [0], given: 26

Re: If x is a positive integer, is (x+y) even? [#permalink]

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06 Aug 2012, 01:09
Director
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Re: If x is a positive integer, is (x+y) even? [#permalink]

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10 Aug 2016, 06:54
Here as K≠1
so K=-1 so the power x+y has to be even to make it positive one
Smash that C
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Re: If x is a positive integer, is (x+y) even?   [#permalink] 10 Aug 2016, 06:54
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