Question

Which smallest digit will replace * in 875*9 so as to make it divisible by 3?

• A. 1
• B. 4
• C. 3
• D. 0

Answer 1

The correct option is A 1

We have to choose the smallest digit that will replace * in 875*9 so as to make it divisible by 3.

Divisibility rule for 3:
If the sum of all the digits of a number is divisible by 3, then the number is divisible by 3.

So, let's add all the digits in 875*9.

8 + 7 + 5 + 9 + * = 29 + *

The multiple of 3 closest to 29 is 30.

So, replacing the value of * with 1, the number we get is: 87519.

The sum of the digits of 87519 = 8 + 7 + 5 + 1 + 9 = 30

Since 30 is divisible by 3, so the number 87519 is also divisible by 3.

Let's verify this.