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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]

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New post 09 Jan 2011, 08:45
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60% (02:27) correct 40% (01:17) wrong based on 169 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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Re: if x and y are integers , is x an even integer  [#permalink]

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New post 09 Jan 2011, 09:07
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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 a) x(y+5)  [#permalink]

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New post 25 Jul 2018, 11:32
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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, 11:32
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