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Odd or even number PROPERTIES

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Intern
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Odd or even number PROPERTIES [#permalink] New post 22 Dec 2009, 14:00
Hi all,

I just wanted to confirm some properties of odd/even numbers:

1)Can negative numbers be odd and even? For ex) -2 is even, and -3 is odd? Is zero even or odd?

2) And is it true that (even subtract odd) and (odd subtract even) both always equals odd, while (odd subtract odd) can equal odd or even?

3) Is it always true that odd divided by odd always equals odd?

Any help to confirm these would be much appreciated! Thank you!
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Re: Odd or even number PROPERTIES [#permalink] New post 22 Dec 2009, 14:58
Hi all,

I just wanted to confirm some properties of odd/even numbers:

1)Can negative numbers be odd and even? For ex) -2 is even, and -3 is odd? Is zero even or odd?

Negative numbers can be odd or even. Zero is even number.

2) And is it true that (even subtract odd) and (odd subtract even) both always equals odd, while (odd subtract odd) can equal odd or even?

Yes,

3) Is it always true that odd divided by odd always equals odd? Not necessary and sometimes you will get fraction.

Any help to confirm these would be much appreciated! Thank you!

Always try to use numbers such as 1, 2 to test the rules
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Re: Odd or even number PROPERTIES [#permalink] New post 22 Dec 2009, 15:48
Thanks for the reply!

For 3), say if the odd numbers being divided were integers and divided into each other nicely with no remainder, would that always result in an odd number?
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Re: Odd or even number PROPERTIES [#permalink] New post 26 Dec 2009, 15:39
Reagrding 0 being an even integer, according to the official guide, Quantitative Review, 2nd Edition, the Integer 0 is neither positive nor negative!
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Re: Odd or even number PROPERTIES [#permalink] New post 30 Dec 2009, 20:43
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prasadrg wrote:
Hi all,

2) And is it true that (even subtract odd) and (odd subtract even) both always equals odd, while (odd subtract odd) can equal odd or even?

Yes,


I'm pretty sure that an odd number minus an odd number will always be even. But, please prove me wrong! :)
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Re: Odd or even number PROPERTIES [#permalink] New post 02 Jan 2010, 23:30
bgs7b6 wrote:
prasadrg wrote:
Hi all,

2) And is it true that (even subtract odd) and (odd subtract even) both always equals odd, while (odd subtract odd) can equal odd or even?

Yes,


I'm pretty sure that an odd number minus an odd number will always be even. But, please prove me wrong! :)



23 - 13 = 10
Answer: 10 is even
23 is odd
13 is odd.
Re: Odd or even number PROPERTIES   [#permalink] 02 Jan 2010, 23:30
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