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Of the positive integers that are multiples of 30 and are less than or

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Of the positive integers that are multiples of 30 and are less than or  [#permalink]

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New post 08 Mar 2019, 03:21
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

86% (01:47) correct 14% (02:11) wrong based on 36 sessions

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Of the positive integers that are multiples of 30 and are less than or  [#permalink]

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New post Updated on: 08 Mar 2019, 06:33
Bunuel wrote:
Of the positive integers that are multiples of 30 and are less than or equal to 360, what fraction are multiples of 12?

A. 1/6
B. 1/5
C. 1/3
D. 2/5
E. 1/2


multiples of 30 upto 360 = 12
and multiple of 12 upto 360 which are multiple of 30:6
so fraction ; 6/12; 1/2
IMO E
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Originally posted by Archit3110 on 08 Mar 2019, 05:08.
Last edited by Archit3110 on 08 Mar 2019, 06:33, edited 1 time in total.
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Re: Of the positive integers that are multiples of 30 and are less than or  [#permalink]

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New post 08 Mar 2019, 06:23
I think the answer is E.

You have to first find the smallest common divisor, and then see what proportion of multiples of 30 are also multiples of that smallest common divisor.

Multiples of 30: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360 --- Total of 12

Out these numbers, only those that are multiples of 16 are also multiples of 12. 60, 120, 180, 240, 300, 360 --- Total of 6 numbers

Alternatively
360/30= 12
And 360/60 = 6

6/12 or 1/2

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Re: Of the positive integers that are multiples of 30 and are less than or  [#permalink]

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New post 14 Mar 2019, 03:36
Vardan95 wrote:
I think the answer is E.

You have to first find the smallest common divisor, and then see what proportion of multiples of 30 are also multiples of that smallest common divisor.

Multiples of 30: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360 --- Total of 12

Out these numbers, only those that are multiples of 16 are also multiples of 12. 60, 120, 180, 240, 300, 360 --- Total of 6 numbers

Alternatively
360/30= 12
And 360/60 = 6

6/12 or 1/2

Posted from my mobile device



Hi,

Please could you explain why the answer is not 2/5 (Option D)?

Regards,

Ritvik
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Re: Of the positive integers that are multiples of 30 and are less than or   [#permalink] 14 Mar 2019, 03:36
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Of the positive integers that are multiples of 30 and are less than or

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