Number System
Aptitude

 Back to Questions
Q.

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.

3084

 B.

3086

 C.

3090

 D.

3096

 Hide Ans

Solution:
Option(D) is correct

Any number divisible by both 6 and 8 must be a multiple of the least common multiple of the two numbers, which is 24.

Hence, any such number can be represented as $24 n$ .

If 3072 is one such number and is represented as $24n$, then the next such number should be: 

$24(n + 1) = 24n + 24 = 3072 + 24 =$ 3096.


(2) Comment(s)


Abhijeet
 ()

check the divisibility of 8 for each of the options.. only one satisfies(the correct answer)



Sarang Kulkarni
 ()

The next number divisible by 6 and 8 will current number + L.C.M of 6 and 8 i.e. 3072+24=2096