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

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How many multiples of 6 are less than 5000, and also [#permalink] New post 07 May 2012, 17:44
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69% (03:03) correct 30% (00:55) wrong based on 1 sessions
Whats the fastest way to solve this one?

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

A) 104
B) 208
C) 625
D) 832
E) 833
[Reveal] Spoiler: OA
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Re: How many multiples of 6 are less than 5000, and also [#permalink] 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] 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.
Re: How many multiples of 6 are less than 5000, and also   [#permalink] 07 May 2012, 18:33
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