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The number 3072 is divisible by both 6 and 8. Which one of t

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The number 3072 is divisible by both 6 and 8. Which one of t [#permalink] New post 21 Apr 2018, 05:01
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The number 3072 is divisible by both 6 and 8. Which one of the following is the first integer larger than 3072 that is also divisible by both 6 and 8?

(A) 3078
(B) 3084
(C) 3086
(D) 3090
(E) 3096
[Reveal] Spoiler: OA

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Re: The number 3072 is divisible by both 6 and 8. Which one of t [#permalink] New post 21 Apr 2018, 21:33
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If a number is divisible by both 8 and 6 it should have factors of both 8 and 6.

8 = 2*2*2
6= 2*3

So the number should be divisible by 2*2*2*3 = 24
Here one 2 is exempted as there should be three 2s to be a multiple of 8 .

Hence E
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Re: The number 3072 is divisible by both 6 and 8. Which one of t [#permalink] New post 06 Jun 2018, 15:22
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Carcass wrote:
The number 3072 is divisible by both 6 and 8. Which one of the following is the first integer larger than 3072 that is also divisible by both 6 and 8?

(A) 3078
(B) 3084
(C) 3086
(D) 3090
(E) 3096


Since 3072 is divisible by both 6 and 8, it’s divisible by the LCM of 6 and 8, which is 24. Thus, the next larger integer that is divisible by both 6 and 8 is 3072 + 24 = 3096.

Answer: E
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Re: The number 3072 is divisible by both 6 and 8. Which one of t   [#permalink] 06 Jun 2018, 15:22
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