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# If x and y are integers, is x even?

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Math Expert
Joined: 02 Sep 2009
Posts: 55264
If x and y are integers, is x even?  [#permalink]

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21 Aug 2017, 21:44
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Difficulty:

15% (low)

Question Stats:

93% (00:41) correct 7% (00:55) wrong based on 61 sessions

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If x and y are integers, is x even?

(1) x·y is even.

(2) x=6y

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Re: If x and y are integers, is x even?  [#permalink]

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21 Aug 2017, 22:58
Bunuel wrote:
If x and y are integers, is x even?

(1) x·y is even.

(2) x=6y

(1) tells us either x is even and y is odd OR y is even and x is odd OR both are even...not sufficient

(2) x = even * y...x will always be even...sufficient

B
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Re: If x and y are integers, is x even?  [#permalink]

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22 Aug 2017, 09:43
Bunuel wrote:
If x and y are integers, is x even?

(1) x·y is even.

(2) x=6y

Statement 1
- $$X*Y = even$$, either X or Y is even; or both X and Y are even.
- NOT SUFFICIENT, X can be even or odd.

Statement 2
- $$x=6y$$ --> $$x=2*3*y$$.
- Any numbers multiple of 2 is even. Therefore, X must be even.
- SUFFICIENT

B.
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Re: If x and y are integers, is x even?  [#permalink]

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23 Aug 2017, 02:39
is x = even,
Statement 1 : x*y = even can mean that either x or y can be even. hence insufficient.
Statement 2 : x=6y, or x=2*3y which is of 2n format and hence an even number. hence sufficient.
Re: If x and y are integers, is x even?   [#permalink] 23 Aug 2017, 02:39
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