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# Even Number

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Joined: 21 Mar 2010
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20 May 2010, 23:34
Is an even number always integer ?

In one of the DS question I have noticed that X is mentioned as even number.

And then all argument starts with X is even but It may or may not be an integer.

I think an even number is always integer whether it is mentioned explicitly.
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20 May 2010, 23:53
subratam99 wrote:
Is an even number always integer ?

In one of the DS question I have noticed that X is mentioned as even number.

And then all argument starts with X is even but It may or may not be an integer.

I think an even number is always integer whether it is mentioned explicitly.

Yes, you are right: only integers can be even or odd.

An even number is an integer that is "evenly divisible" by 2, i.e., divisible by 2 without a remainder.
An even number is an integer of the form $$n=2k$$, where $$k$$ is an integer.

An odd number is an integer that is not evenly divisible by 2.
An odd number is an integer of the form $$n=2k+1$$, where $$k$$ is an integer.
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21 May 2010, 00:33
subratam99 wrote:
Is an even number always integer ?

In one of the DS question I have noticed that X is mentioned as even number.

And then all argument starts with X is even but It may or may not be an integer.

I think an even number is always integer whether it is mentioned explicitly.

an even number will always be an integer ....what was the exact question ...there might be an ambiguity
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21 May 2010, 02:22
Also, look here: gmat-math-book-87417.html
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Joined: 21 Mar 2010
Posts: 12

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21 May 2010, 14:15
Thanks for prompt response.
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Joined: 08 Apr 2010
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21 May 2010, 14:37
Bunuel wrote:
subratam99 wrote:
Is an even number always integer ?

In one of the DS question I have noticed that X is mentioned as even number.

And then all argument starts with X is even but It may or may not be an integer.

I think an even number is always integer whether it is mentioned explicitly.

Yes, you are right: only integers can be even or odd.

An even number is an integer that is "evenly divisible" by 2, i.e., divisible by 2 without a remainder.
An even number is an integer of the form $$n=2k$$, where $$k$$ is an integer.

An odd number is an integer that is not evenly divisible by 2.
An odd number is an integer of the form $$n=2k+1$$, where $$k$$ is an integer.

you have explained very well absolutely right answer..
Re: Even Number   [#permalink] 21 May 2010, 14:37