Question

In each of the following numbers, replace M by the smallest whole number to make the resulting number divisible by $3$:
(iii) $27M53$

Answer 1

Step: Find the value of M
Given number: $27M53$
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 =$2$+$7$+$M$+$5$+$3$
=$17$+$M$
The number which is divisible by $3$ next to $17$ is $18$.
So, the required number =$18$−$17$ =$1$
Hence, the value of $M$ is $1$.