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# How many integers between 100 and 150, inclusive, can be

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How many integers between 100 and 150, inclusive, can be [#permalink]

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07 Dec 2004, 18:23
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How many integers between 100 and 150, inclusive, can be evenly divided by neither 3 nor 5?
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07 Dec 2004, 19:12
17 nos divisible by 3, and 11 nos divisible by 5.
Total 28 cases out of which 4 are common between 3 and 5
=> 24 nos are divisble by both 3 and 5.

51-24 => 27 nos not evenly divisible by 3 and 5.

Last edited by batliwala on 08 Dec 2004, 00:47, edited 1 time in total.
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07 Dec 2004, 23:16
either 3 or 5 = 24
nither 3 nor 5 = 51-24= 27

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08 Dec 2004, 13:39
batliwala wrote:
17 nos divisible by 3, and 11 nos divisible by 5.
Total 28 cases out of which 4 are common between 3 and 5
=> 24 nos are divisble by both 3 and 5.

51-24 => 27 nos not evenly divisible by 3 and 5.

Batliwala, I assume you get 17 from the difference of (150/3) and (100/3) and 11 from (150/5) and (100/5) plus 1. How do we figure out when to add 1?
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