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# Odd or even number PROPERTIES

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Intern
Joined: 11 Oct 2009
Posts: 12
Followers: 0

Kudos [?]: 3 [0], given: 0

Odd or even number PROPERTIES [#permalink]

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22 Dec 2009, 15:00
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!
Manager
Joined: 21 Jul 2003
Posts: 64
Followers: 2

Kudos [?]: 42 [0], given: 3

Re: Odd or even number PROPERTIES [#permalink]

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22 Dec 2009, 15:58
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
Intern
Joined: 11 Oct 2009
Posts: 12
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Kudos [?]: 3 [0], given: 0

Re: Odd or even number PROPERTIES [#permalink]

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22 Dec 2009, 16:48

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?
Intern
Joined: 07 Aug 2009
Posts: 1
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Kudos [?]: 0 [0], given: 0

Re: Odd or even number PROPERTIES [#permalink]

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26 Dec 2009, 16:39
Reagrding 0 being an even integer, according to the official guide, Quantitative Review, 2nd Edition, the Integer 0 is neither positive nor negative!
Intern
Joined: 29 Oct 2009
Posts: 15
Schools: University of Missouri-Columbia
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Kudos [?]: 10 [1] , given: 26

Re: Odd or even number PROPERTIES [#permalink]

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30 Dec 2009, 21:43
1
KUDOS
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!
Intern
Joined: 11 Oct 2009
Posts: 12
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Kudos [?]: 3 [0], given: 0

Re: Odd or even number PROPERTIES [#permalink]

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03 Jan 2010, 00:30
bgs7b6 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
23 is odd
13 is odd.
Intern
Joined: 02 Jan 2015
Posts: 1
Location: India
Concentration: General Management, Marketing
GMAT 1: 490 Q38 V20
GMAT 2: 650 Q48 V31
GPA: 3.62
WE: Engineering (Manufacturing)
Followers: 0

Kudos [?]: 5 [0], given: 11

Re: Odd or even number PROPERTIES [#permalink]

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15 Oct 2015, 23:41
Even-Even=Even
Even-Odd=Odd
Odd-Odd=Even
Re: Odd or even number PROPERTIES   [#permalink] 15 Oct 2015, 23:41
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# Odd or even number PROPERTIES

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