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if x and y are integers , is x an even integer a) x(y+5)

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Joined: 07 Feb 2010
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if x and y are integers , is x an even integer a) x(y+5)  [#permalink]

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09 Jan 2011, 07:45
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Difficulty:

65% (hard)

Question Stats:

61% (02:07) correct 39% (02:06) wrong based on 188 sessions

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if x and y are integers , is x an even integer

a) x(y+5) even integer
b) 6y^2+41y+25 is even integer
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Joined: 02 Sep 2009
Posts: 51101
Re: if x and y are integers , is x an even integer  [#permalink]

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09 Jan 2011, 08:07
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anilnandyala wrote:
if x and y are integers , is x an even integer

a) x(y+5) even integer
b) 6y^2+41y+25 is even integer

If x and y are integers , is x an even integer

(1) x(y+5) even integer --> in order the product of the integers to be even at least one of the multiples must be even --> either $$x=even$$ and in this case $$y$$ can be even or odd, or $$y=odd$$ (in order $$y+5$$ to be even) and in this case $$x$$ can be even or odd. Not sufficient.

(2) 6y^2+41y+25 is even integer --> $$6y^2$$ is even in any case, so $$41y+25=even$$ --> $$41y+25=odd*y+odd=even$$ --> $$y=odd$$, still not sufficient, as no info about $$x$$.

(1)+(2) As from (2) $$y=odd$$ then from (1) it's not necessary $$x$$ to be even. Not sufficient.

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Re: if x and y are integers , is x an even integer a) x(y+5)  [#permalink]

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25 Jul 2018, 10:32
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: if x and y are integers , is x an even integer a) x(y+5) &nbs [#permalink] 25 Jul 2018, 10:32
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