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Is zero considered an even integer?

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givemeanid Really wants to Beat The GMAT!
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Is zero considered an even integer? Post Sun Jul 01, 2007 5:59 pm
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    GMAT considers 0 as an even integer. Is that correct?

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    jayhawk2001 Community Manager
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    Post Sun Jul 01, 2007 7:50 pm
    Well, not just GMAT Smile. Zero is generally considered even.

    An integer n is called even if there exists an integer m such that n = 2m, and odd if n+1 is even.

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    Post Mon Aug 20, 2007 10:34 am
    I always thought zero is neither odd nor even. The properties of even/odd nos. -

    Even => 2n and Odd => 2n-1 where 'n' is a natural number.

    But as per OG zero is even Confused

    Post Fri Aug 31, 2007 4:53 am
    however one thing to note is that zero is neither +ve nor -ve

    Post Wed Sep 05, 2007 9:49 am
    As far as sign of 0 is concerned it is generally accepted that 0 can be both +ve as well as -ve as +0 =0 & -0 = 0 hence both would be the same nos,
    I believe specially on a DS question if it is asked to check some value is +ve or -ve and if it comes out to be 0 or can possibly be 0, I think we can simply use it as required by the question & not against it i.e if question wants +ve value, use it as +ve and vice versa.

    Post Thu Apr 07, 2016 6:00 am
    alstonamos wrote:
    I always thought zero is neither odd nor even. The properties of even/odd nos. -



    waleeed
    Zero is definitely even. In fact, this concept is tested often on the GMAT.
    An integer is considered even if it can be written as the product of 2 and another integer.
    Since, 0 = (2)(0), zero is considered even.

    Zero, however, is neither positive nor negative.

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    Post Thu Apr 07, 2016 5:26 pm
    Hi Waleed,

    0 is called a 'null value' since it's neither positive nor negative.
    0 is even because on a number line, integers vary odd-even-odd-even-etc. (e.g.. -3, -2, -1, 0, 1, 2, etc.)

    When a question uses a phrase such as "X is a non-negative integer', you should ABSOLUTELY consider the possibility that X is 0.

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    Post Fri Apr 15, 2016 1:38 pm
    I'd go even further and say that if you see the word 'nonnegative' instead of 'positive', considering 0 is *almost definitely* crucial to solving the problem.

    (This goes for 'nonpositive' too, I suppose, though I can't remember seeing that term in a GMAT problem.)

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