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The number 3072 is divisible by both 6 and 8. Which one of t
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Updated on: 30 May 2018, 15:53
Updated on: 30 May 2018, 15:53
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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
(A) 3078
(B) 3084
(C) 3086
(D) 3090
(E) 3096
Re: The number 3072 is divisible by both 6 and 8. Which one of t
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31 May 2018, 11:06
31 May 2018, 11:06
Expert Reply
As we are informed that number 3072 is divisible by 6 and 8.
So clearly the number \(3072+6=3078\) would be divisible by 6 and \(3072+8=3080\) are divisible by 8.
However 3080 is not divisible by 6 and 3078 is not by 8. So we need to find a number m , such that \(3072 +m\) which is divisible by 6 and 8.
m is the least common multiple of 6 and 8 . LCM of 6 and 8 is 24.
Hence the number greater than 3072 and divisible by 8 and 6 is \(24+3072=3096\).
So clearly the number \(3072+6=3078\) would be divisible by 6 and \(3072+8=3080\) are divisible by 8.
However 3080 is not divisible by 6 and 3078 is not by 8. So we need to find a number m , such that \(3072 +m\) which is divisible by 6 and 8.
m is the least common multiple of 6 and 8 . LCM of 6 and 8 is 24.
Hence the number greater than 3072 and divisible by 8 and 6 is \(24+3072=3096\).
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Re: The number 3072 is divisible by both 6 and 8. Which one of t
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19 Sep 2022, 09:27
19 Sep 2022, 09:27
Given that the number 3072 is divisible by both 6 and 8 and we need to find which one of the following is the first integer larger than 3072 that is also divisible by both 6 and 8
Any number divisible by 6 and 8 will be a multiple of LCM(6,8) = 24
(Watch this video to learn How to Calculate LCM)
=> 3072 + 24 = 3096 is the next number divisible by both 6 and 8
So, Answer will be E
Hope it helps!
Watch the following video to learn the Basics of Divisibility Rules
Any number divisible by 6 and 8 will be a multiple of LCM(6,8) = 24
(Watch this video to learn How to Calculate LCM)
=> 3072 + 24 = 3096 is the next number divisible by both 6 and 8
So, Answer will be E
Hope it helps!
Watch the following video to learn the Basics of Divisibility Rules
