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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
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How many 3 digit integers are not divisible by 3?

599
600
601
602
156
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
CEO
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Posts: 2760
Location: New York City
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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?
Manager
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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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How many 3 digit integers are not divisible by 3? 599 600

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