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How many three-digit integers are not divisible by 3 ? 599

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Senior Manager
Joined: 23 May 2006
Posts: 305
How many three-digit integers are not divisible by 3 ? 599 [#permalink]

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04 Aug 2008, 10:46
How many three-digit integers are not divisible by 3 ?
599
600
601
602
603

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Joined: 07 Nov 2007
Posts: 1738
Location: New York

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04 Aug 2008, 10:56
x97agarwal wrote:
How many three-digit integers are not divisible by 3 ?
599
600
601
602
603

three digit integers divisible by 3 = 999/3 = 333
three digit integers not divisible by 3 = 999-333=666

Am I missing something
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Joined: 12 Jul 2008
Posts: 512
Schools: Wharton

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04 Aug 2008, 10:58
x97agarwal wrote:
How many three-digit integers are not divisible by 3 ?
599
600
601
602
603

I get B.

Number of 3-digit integers:
999-100 + 1 = 900

Number of 3 digit multiples of 3:
3*n where 34 <= n <= 333 is a 3-digit integer divisible by 3.

333-34 + 1 = 300

900 - 300 = 600
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Updated on: 04 Aug 2008, 11:05
x2suresh,

You're counting single and double-digit numbers as well with the 999 - (999 / 3) method

You want to find the largest 2-digit number that is divisible by 3, which is 99 and then the largest 3-digit number divisible by 3 which is 999.

999 - 99 = 900

900 / 3 = 300

Now how many 3 digit numbers are there anyway?

there should be 900. [999 - 99 = 900]

So 900 - 300 = the answer of 600.

x2suresh wrote:
x97agarwal wrote:
How many three-digit integers are not divisible by 3 ?
599
600
601
602
603

three digit integers divisible by 3 = 999/3 = 333
three digit integers not divisible by 3 = 999-333=666

Am I missing something

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Originally posted by jallenmorris on 04 Aug 2008, 11:01.
Last edited by jallenmorris on 04 Aug 2008, 11:05, edited 2 times in total.
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Joined: 07 Nov 2007
Posts: 1738
Location: New York

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04 Aug 2008, 11:15
jallenmorris wrote:
x2suresh,

You're counting single and double-digit numbers as well with the 999 - (999 / 3) method

You want to find the largest 2-digit number that is divisible by 3, which is 99 and then the largest 3-digit number divisible by 3 which is 999.

999 - 99 = 900

900 / 3 = 300

Now how many 3 digit numbers are there anyway?

there should be 900. [999 - 99 = 900]

So 900 - 300 = the answer of 600.

x2suresh wrote:
x97agarwal wrote:
How many three-digit integers are not divisible by 3 ?
599
600
601
602
603

three digit integers divisible by 3 = 999/3 = 333
three digit integers not divisible by 3 = 999-333=666

Am I missing something

OOPS thanks buddy.
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Joined: 17 Jun 2008
Posts: 1289

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04 Aug 2008, 11:26
x97agarwal wrote:
How many three-digit integers are not divisible by 3 ?
599
600
601
602
603

100 to 1000 excluding 1000 are 3 digit numbers

900 = total 3 digit numbers
one third of 900=300 are divisible by 3 hence 600 numbers are not div by 3

IMO B
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Senior Manager
Joined: 06 Apr 2008
Posts: 393

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05 Aug 2008, 02:00
x97agarwal wrote:
How many three-digit integers are not divisible by 3 ?
599
600
601
602
603

There are 900 three digit numbers ranging from 100 to 999. So numbers not divisible by 3 = 2/3 (900) = 600

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: m16 nO. 11   [#permalink] 05 Aug 2008, 02:00
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How many three-digit integers are not divisible by 3 ? 599

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