Number System
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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

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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.


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