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Bunuel
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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Bunuel
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

LCM of 6 & 8 = 24

\(3072+24=3096\)
Ans E
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Another quick scan tells you that only option E is divisible by 8.Hence, the answer is 3096.(E)
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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

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