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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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16 Dec 2014, 23:57
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Difficulty:

55% (hard)

Question Stats:

60% (01:46) correct 40% (01:59) wrong based on 160 sessions

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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

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

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17 Dec 2014, 00:19
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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23 Aug 2016, 10:05
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

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

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25 Sep 2017, 06:44
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Re: How many positive integers less than 200 are there such that they are &nbs [#permalink] 25 Sep 2017, 06:44
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