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How many multiples of 6 are less than 5000, and also

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Intern
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How many multiples of 6 are less than 5000, and also  [#permalink]

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New post 07 May 2012, 17:44
5
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A
B
C
D
E

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  45% (medium)

Question Stats:

71% (02:00) correct 29% (01:47) wrong based on 294 sessions

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How many multiples of 6 are less than 5000, and also multiples of 8?

A. 104
B. 208
C. 625
D. 832
E. 833
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Manager
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Re: How many multiples of 6 are less than 5000, and also  [#permalink]

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New post 07 May 2012, 18:33
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The LCM of 6 and 8 is 24. Divide 5000/24 = 208.xxx. So B is your answer.
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Intern
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Re: How many multiples of 6 are less than 5000, and also  [#permalink]

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New post 07 May 2012, 18:00
is the Oa C. Question asks us to find out the common set of multiple between 6 and 8 that are less than 5000.
We knw 5000=50*100. So we can find out the number of multiple of both 6 and 8 that are less then 50.
6*8=48 and 8*6=48. Common multiple number is 6. So the common highest maximum number will be somewhat higher then 600.

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Re: How many multiples of 6 are less than 5000, and also  [#permalink]

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New post 23 Jun 2014, 03:11
LCM of 6 & 8 = 24

Tried dividing 5000 by 24

Got quotient 20..., clicked Answer = B

Is this a GMAT question?

No option is provided near to 208, which makes the answer obvious :)
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Re: How many multiples of 6 are less than 5000, and also  [#permalink]

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New post 16 Jul 2017, 17:47
alex1233 wrote:
How many multiples of 6 are less than 5000, and also multiples of 8?

A. 104
B. 208
C. 625
D. 832
E. 833


If a number is a multiple of 6 and 8, then it’s also a multiple of the least common multiple (LCM) of 6 and 8. Since the LCM of 6 and 8 is 24, we need to determine the number of multiples of 24 from 1 to 4,999 inclusive.

The smallest multiple of 24 is 24 and the largest is 4,992.

Thus, there are (4,992 - 24)/24 + 1 = 208 multiples of 24 under 5,000.

Answer: B
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Re: How many multiples of 6 are less than 5000, and also   [#permalink] 16 Jul 2017, 17:47
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