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

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CEO
Joined: 21 Jan 2007
Posts: 2764
Location: New York City
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Kudos [?]: 349 [0], given: 4

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

599
600
601
602
156
Manager
Joined: 01 Nov 2007
Posts: 69
Followers: 1

Kudos [?]: 3 [0], given: 0

[#permalink]  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

CEO
Joined: 21 Jan 2007
Posts: 2764
Location: New York City
Followers: 9

Kudos [?]: 349 [0], given: 4

[#permalink]  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

too easy.

How many are not divisible by 7?
Manager
Joined: 01 Nov 2007
Posts: 69
Followers: 1

Kudos [?]: 3 [0], given: 0

[#permalink]  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

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
SVP
Joined: 24 Sep 2005
Posts: 1893
Followers: 11

Kudos [?]: 139 [0], given: 0

[#permalink]  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

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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