Question

Replace * by the smallest digit so that the number 56 * 891 is divisible by 3

• A. 8
• B. 0
• C. 3
• D. 1

Answer 1

The correct option is D 1

A number is completely divisible by 3 if the sum of its digits is divisible by 3.
Given number $56\ast 891$.
Let the unknow digit be $x$
$\Rightarrow 5+6+x+8+9+1=29+x$
So, smallest value of x such 29+x is divisible by 3 is 1.
Therefore, the required digit is 1 such that the given number is divisible by 3.