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

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if x and y are integers , is x an even integer a) x(y+5) [#permalink]  09 Jan 2011, 07:45
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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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Re: if x and y are integers , is x an even integer [#permalink]  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]  24 Jan 2015, 19:08
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Re: if x and y are integers , is x an even integer a) x(y+5)   [#permalink] 24 Jan 2015, 19:08
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# if x and y are integers , is x an even integer a) x(y+5)

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