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Is the sum of 6 integers odd?

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Is the sum of 6 integers odd? [#permalink]

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Is the sum of 6 integers odd?

1) The product of four largest integers is odd, and the product of two smallest integers is even

2) the sum of two smallest integers is odd, and the sum of four largest integers is even
[Reveal] Spoiler: OA

Last edited by Mahmud6 on 19 Sep 2017, 09:21, edited 2 times in total.
Replaced 'numbers' by 'integers'

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Re: Is the sum of 6 integers odd? [#permalink]

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LM wrote:
Is the sum of 6 numbers odd?

1) The product of four largest numbers is odd, and the product of two smallest numbers is even

2) the sum of two smallest numbers is odd, and the sum of four largest numbers is even


Is the sum of 6 numbers odd?

(1) The product of four largest numbers is odd, and the product of two smallest numbers is even --> even if we consider all numbers to integers (which is not stated) it's still possible to have:
A. O*O*O*O=Odd and E*E=E --> (O+O+O+O)+(E+E)=Even;
B. O*O*O*O=Odd and E*O=E --> (O+O+O+O)+(E+O)=Odd.

Not sufficient.

(2) The sum of two smallest numbers is odd, and the sum of four largest numbers is even --> {sum of two smallest}=Odd and {sum of four largest}=Even --> {sum of all 6 numbers}={sum of two smallest}+{sum of four largest}=Odd+Even=Odd. Sufficient.

Answer: B.
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Re: Is the sum of 6 integers odd? [#permalink]

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Re: Is the sum of 6 integers odd? [#permalink]

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New post 14 Jun 2016, 20:52
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Re: Is the sum of 6 integers odd?   [#permalink] 14 Jun 2016, 20:52
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