Answer:

The smallest digit to make the number divisible by 3 is 53235.

Step-by-step explanation:

Given : Number 53*3553∗35

To find : Replace * by the smallest digit to make the following numbers divisible by 3 ?

Solution :

Divisibility property of 3,

The number is divisible by 3 when the sum of number is divisible by 3.

The sum of the number is 5+3+*+3+5=16+*5+3+∗+3+5=16+∗

The least number which is added with 16 is divisible by 3 is 2.

As 16+2=1816+2=18 and 18 is divisible by 3 at 6.

Therefore, The smallest digit to make the number divisible by 3 is 53235.