Correct option is A
Given:
Number: 502*693
We need to find the smallest integer that can replace * to make the number divisible by 9.
Concept Used:
A number is divisible by 9 if the sum of its digits is divisible by 9.
Solution:
the sum of the known digits.
Sum of the digits: 5 + 0 + 2 + 6 + 9 + 3 = 25
Let the unknown digit (in place of *) be x.
The sum of all the digits becomes: 25 + x.
For the number to be divisible by 9, 25 + x must be divisible by 9.
the smallest value of x such that 25 + x is divisible by 9.
The remainder when 25 is divided by 9 is 7, so we need to add 2 to make it divisible by 9.
The smallest value of x is 2.
Thus, the smallest integer that can replace * is 2.