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# Is zero a positive integer?

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Is zero a positive integer? [#permalink]

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16 Mar 2013, 04:49
If a DS problem speaks about "positive integers", can zero be considered one?
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Re: Is zero a positive integer? [#permalink]

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16 Mar 2013, 05:37
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Nope.. Zero is neither positive nor negative.. Zero is in fact zero..
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Re: Is zero a positive integer? [#permalink]

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16 Mar 2013, 08:50
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Another question (not tested on the GMAT) often asked - is zero odd or even?

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Re: Is zero a positive integer? [#permalink]

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16 Mar 2013, 23:03
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I know 0 is between two odd numbers and hence is even... I guess we can even say that 0 is a multiple of 2 and hence is even...
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Re: Is zero a positive integer? [#permalink]

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17 Mar 2013, 11:21
score780 wrote:
If a DS problem speaks about "positive integers", can zero be considered one?

1. Zero is neither negative nor positive.

2. Zero is an even integer.

An even number is an integer that is "evenly divisible" by 2, i.e., divisible by 2 without a remainder and as zero is evenly divisible by 2 then it must be even (in fact zero is divisible by every integer except zero itself).

For more check here: math-number-theory-88376.html#p666609

Hope it helps.

P.S. Please post math related questions in main math forum here: gmat-quantitative-section-7/?fl=menu
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Re: Is zero a positive integer? [#permalink]

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17 Mar 2013, 11:24
Bunuel wrote:
If a DS problem speaks about "positive integers", can zero be considered one?

1. Zero is neither negative nor positive.

2. Zero is an even integer.

An even number is an integer that is "evenly divisible" by 2, i.e., divisible by 2 without a remainder and as zero is evenly divisible by 2 then it must be even (in fact zero is divisible by every integer except zero itself).

For more check here: math-number-theory-88376.html#p666609

Hope it helps.

P.S. Please post math related questions in main math forum here: gmat-quantitative-section-7/?fl=menu

Thank you very much Bunuel. So for the GMAT zero is an integer?
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Re: Is zero a positive integer? [#permalink]

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17 Mar 2013, 11:27
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score780 wrote:
Bunuel wrote:
If a DS problem speaks about "positive integers", can zero be considered one?

1. Zero is neither negative nor positive.

2. Zero is an even integer.

An even number is an integer that is "evenly divisible" by 2, i.e., divisible by 2 without a remainder and as zero is evenly divisible by 2 then it must be even (in fact zero is divisible by every integer except zero itself).

For more check here: math-number-theory-88376.html#p666609

Hope it helps.

P.S. Please post math related questions in main math forum here: gmat-quantitative-section-7/?fl=menu

Thank you very much Bunuel. So for the GMAT zero is an integer?

Yes. Integers are defined as: all negative natural numbers $$\{...,-4, -3, -2, -1\}$$, zero $$\{0\}$$, and positive natural numbers $$\{1, 2, 3, 4, ...\}$$.
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Re: Is zero a positive integer?   [#permalink] 17 Mar 2013, 11:27
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# Is zero a positive integer?

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