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# Is the sum of 6 numbers odd?

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

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26 Jan 2012, 06:48
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66% (02:17) correct 34% (01:26) wrong based on 171 sessions

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

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26 Jan 2012, 07:11
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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.

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

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23 May 2013, 05:23
Bumped for review and further discussion.
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Re: Is the sum of 6 numbers odd? [#permalink]

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14 Jun 2016, 20:52
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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