Question

Find the smallest number that should be added to 1727 to make it divisible by 3.

• A. 1
• B. 0
• C. 5
• D. 6

Answer 1

The correct option is A

1

Let the smallest number that should be added to 1727 to make it divisible by 3 be x.

For a number to be divisible by 3, the sum of the digits of the number must be divisible by 3.

Here, 1 + 7 + 2 + 7 = 17
17 + x must be divisible by 3.

In order to find the smallest number that should be added to 1727, we need to find the smallest number which is greater than 17 and divisible by 3.
So, 18 is the number.

$\Rightarrow$ 17 + x = 18
$\Rightarrow$ x = 1

Therefore, 1 should be added to 1727 to make it divisible by 3.