Previous Year Questions

Step 1: Check the remainder when 999 is divided by 99.

We divide 999 by 99:

999÷99=10 remainder 9

Step 2: Find the smallest number to add to 999.

We want the sum to be divisible by 99. To achieve this, we need to add a number that makes the remainder 0. Since the remainder is currently 9, we need to add 99−9=90.

Step 3: Verify the sum.

If we add 90 to 999:

999+90=1089999 + 90 = 1089

Now, check if 1089 is divisible by 99:

1089÷99=11

Since 1089 is exactly divisible by 99, the answer is correct.

Thus, the smallest number to be added is 90.

The correct answer is c) 90.