Question

In each of the following numbers, replace M by the smallest whole number to make the resulting number divisible by 3:
(ii) $46M46$

Answer 1

Step: Find the value of M
Given number: $46M46$
A number is divisible by $3$ if the sum of its digit is divisible by $3$ or multiple of $3$.
Here, the sum of digits =$4$+$6$+$M$+$4$+$6$
=$20$+$M$
The number which is divisible by $3$ next to $20$ is $21$.
So, the required number =$21$−$20$ =$1$
Hence, the value of $M$ is $1$.