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How many 3 digit integers are not divisible by 3? 599 600

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CEO
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How many 3 digit integers are not divisible by 3? 599 600 [#permalink] New post 05 Nov 2007, 10:02
How many 3 digit integers are not divisible by 3?

599
600
601
602
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Manager
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 [#permalink] New post 05 Nov 2007, 10:21
I will go for B = 600

There are in all 900 three digit number
total number of digits divisible by 3 = 300.
Therefore three digit numbers not divisible by 3, 900 - 300 = 600


:lol:
CEO
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 [#permalink] New post 05 Nov 2007, 11:01
sportyrizwan wrote:
I will go for B = 600

There are in all 900 three digit number
total number of digits divisible by 3 = 300.
Therefore three digit numbers not divisible by 3, 900 - 300 = 600


:lol:


too easy.

How many are not divisible by 7?
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 [#permalink] New post 05 Nov 2007, 11:05
bmwhype2 wrote:
sportyrizwan wrote:
I will go for B = 600

There are in all 900 three digit number
total number of digits divisible by 3 = 300.
Therefore three digit numbers not divisible by 3, 900 - 300 = 600


:lol:


too easy.

How many are not divisible by 7?



Total numbers between 100 & 999 divisible by 7 = 128
Therefore not divisible by 7 is 900 - 128 = 772
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 [#permalink] New post 15 Nov 2007, 19:07
sportyrizwan wrote:
I will go for B = 600

There are in all 900 three digit number
total number of digits divisible by 3 = 300.
Therefore three digit numbers not divisible by 3, 900 - 300 = 600


:lol:


To clarify this:
from 100 to 999

The first number divisible by 3 is 102...the last one is 999 => the number of numbers divisible by 3 is: (999-102)/3 +1 = 300 ---> the number of numbers not divisible by 3 is 900-300= 600

The same method for question involving 7
  [#permalink] 15 Nov 2007, 19:07
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6 Experts publish their posts in the topic How many three-digit integers are not divisible by 3 ? gmatcracker2010 3 12 Jun 2010, 11:02
How many three-digit integers are not divisible by 3 ? 599 x97agarwal 6 04 Aug 2008, 09:46
How many integers are divisible by 3 are there between 10! bmwhype2 2 02 Nov 2007, 05:46
How many integers divisible by 3 are there between 10! and GMATBLACKBELT 5 16 Oct 2007, 09:41
How many 3 digit positive integers divisible by 7. solution: successstory 1 16 Nov 2006, 15:37
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How many 3 digit integers are not divisible by 3? 599 600

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