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Number properties

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versatile801
 Post subject: Number properties
 Post Posted: Thu Dec 29, 2011 4:17 pm 
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Students


Posts: 15
Hi,

The question pertains to Number Properties. ( pg no 153, Q-5 )

what are the remainders upon division by 4 ?

Option B - the square of an ODD integer

Answer is - 1

Now the answer explanation says that Generic expression of an odd integer is 2n+1.

If we consider the above definition to suppose an odd number , we are missing 1 - which is an odd no itself.

In the same question, if i take odd no as 1 , the square of this odd no is 1 , and when divided by 4, it leaves 0 reminder

Pls explain, why generic expression of odd no is taken as 2n+1 ?
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tim
 Post subject: Re: Number properties
 Post Posted: Sat Dec 31, 2011 1:50 pm 
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ManhattanGMAT Staff


Posts: 2242
Location: Southwest Airlines, seat 21C
How do you get an odd number? It’s one more than an even number. An even number is twice an integer, in other words 2n; so an odd number is 2n+1..

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Tim Sanders
Manhattan GMAT Instructor
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versatile801
 Post subject: Re: Number properties
 Post Posted: Sat Dec 31, 2011 11:50 pm 
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Students


Posts: 15
Thanks tim.

But what about 1 then.. ??

1 is also odd no, it does not require 2n to be added to it, when we say 2n+1, it starts with no 3 and goes on.

So, how can we say generic expression of an odd no is 2n+1 ?

thanks
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stud.jatt
 Post subject: Re: Number properties
 Post Posted: Wed Jan 04, 2012 8:16 pm 
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Students


Posts: 21
versatile801 wrote:
Thanks tim.

But what about 1 then.. ??

1 is also odd no, it does not require 2n to be added to it, when we say 2n+1, it starts with no 3 and goes on.

So, how can we say generic expression of an odd no is 2n+1 ?

thanks


umm... lets try n = 0 shall we??
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tim
 Post subject: Re: Number properties
 Post Posted: Tue Jan 10, 2012 3:55 pm 
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ManhattanGMAT Staff


Posts: 2242
Location: Southwest Airlines, seat 21C
Thanks, stud [sic]

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Tim Sanders
Manhattan GMAT Instructor
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