# Easy Number System Solved QuestionAptitude Discussion

 Q. What is the value of $M$ and $N$ respectively if $M39048458N$ is divisible by 8 and 11, where $M$ and $N$ are single digit integers?
 ✖ A. 7, 8 ✖ B. 8, 6 ✔ C. 6, 4 ✖ D. 5, 4

Solution:
Option(C) is correct

A number is divisible by 8 , if the number formed by the last three digits is divisible by 8.
i.e 58N is divisible by 8 ⇒ N=4

Again a number is divisible by 11, if the difference between the sum of digits at even places and sum of digits at the odd places is either 0 or divisible by 11.
i.e, $(M+9+4+4+8) - (3+0+8+5+N) = M-N+9 = M+5$
It cannot be zero hence, $M+5 =11$ ⇒ M=6.