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How many positive integers less than 200 are there such that they are

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How many positive integers less than 200 are there such that they are [#permalink]

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New post 16 Dec 2014, 22:57
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How many positive integers less than 200 are there such that they are multiples of 13 or multiples of 12?

A. 28
B. 29
C. 30
D. 31
E. 32
[Reveal] Spoiler: OA

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Re: How many positive integers less than 200 are there such that they are [#permalink]

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New post 16 Dec 2014, 23:19
PareshGmat wrote:
How many positive integers less than 200 are there such that they are multiples of 13 or multiples of 12?

A. 28
B. 29
C. 30
D. 31
E. 32


total multiples of 13+Total Multiples of 12- (Multiple of 12 and 13 both)

Total Multiples of 13: 15 (First multiple:13, last multiple:195)
Total Multiples of 12:16 (First multiple: 12,Last multiple: 192)
Multiple of 12 and 13: 1 (156)
15+16-1=30
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Re: How many positive integers less than 200 are there such that they are [#permalink]

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New post 23 Aug 2016, 09:05
Multiples of 12 => 192-12/12+1=> 16
Multiples of 13 => 195-13/12+1=> 15
Multiples of both 12 and 13 ie multiple of 156 => only one => 156 itself
Hence 156 is counted twice
Net value => 16+15-1=> 30

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Re: How many positive integers less than 200 are there such that they are [#permalink]

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New post 25 Sep 2017, 05:44
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Re: How many positive integers less than 200 are there such that they are   [#permalink] 25 Sep 2017, 05:44
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