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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] New post 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
[Reveal] Spoiler: OA
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Re: if x and y are integers , is x an even integer [#permalink] New post 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.

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

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