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Is the sum of 6 numbers odd?

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Is the sum of 6 numbers odd? [#permalink] New post 26 Jan 2012, 05:48
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70% (01:59) correct 30% (00:56) wrong based on 37 sessions
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
[Reveal] Spoiler: OA
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Re: Is the sum of 6 numbers odd? [#permalink] New post 26 Jan 2012, 06:11
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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 numbers odd? [#permalink] New post 23 May 2013, 04:23
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Re: Is the sum of 6 numbers odd?   [#permalink] 23 May 2013, 04:23
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