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Even numbers

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Director
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Even numbers [#permalink] New post 05 Apr 2007, 03:13
If a question speacifies that A is an even, can we not assume it's an integer? I did not know that decimals like 0.2, 0.4 etc can be considered even. This is based on one of the questions on the challanges(22, Question 22). In that case, what is a 2.5 - even or odd? :?

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Manager
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 [#permalink] New post 05 Apr 2007, 03:48
You are correct. If you are told that A is an even number, it can be 100, 2, 0.2, etc.
However, if you are told A is an even integer, it can only be 2, 4, 100, etc.

2.5 is an odd number and it is not an integer.

So, I guess we need to be clear if we are talking about numbers or integers.
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 [#permalink] New post 05 Apr 2007, 04:39
Thank you for explaining. :)
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 [#permalink] New post 05 Apr 2007, 13:06
the definitions such as "even" and "odd" apply to integers ONLY!!!

0.2 is neither even nor odd!
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 [#permalink] New post 05 Apr 2007, 14:40
botirvoy wrote:
the definitions such as "even" and "odd" apply to integers ONLY!!!

0.2 is neither even nor odd!


Well that's what I thought till I hit question 22 on challange 22.
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 [#permalink] New post 06 Apr 2007, 00:13
Just to make sure, I have checked it with Kaplan's definition of odd and even.

Kaplan writes: "0.5 is not an interger (so it can not be Even or Odd), but it is positive".
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 [#permalink] New post 06 Apr 2007, 01:39
I have to confess that I have never heard about other definitions for even and odd than the ones related to integers, apart functions another debate ;). :)

I'm ready to learn new things :)

To give more information, have a look on the nice explanations of wikipedia : http://en.wikipedia.org/wiki/Even_and_odd_numbers

Some links/references for it ?
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 [#permalink] New post 06 Apr 2007, 02:03
Cool Stuff FIG. You are right, there is always something new to learn.

I don't remember seeing any GMAT problems that question eveness/oddness for decimals. On question 22 in the challenge (if I am looking at the right one), talks about more considering decimals if you are not told that the number is an integer.
  [#permalink] 06 Apr 2007, 02:03
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