Question : The largest six-digit number is divisible by 198, if the digits are rearranged, even then the number will be divisible by:
Option 1: 3
Option 2: 6
Option 3: 2
Option 4: 66
Correct Answer: 3
Solution : Largest six-digit number = 999999 Dividing by 198, we get: Quotient = 5050 Remainder = 99 $\therefore$ The largest six-digit number divisible by 198 = 999999 – 99 = 999900 If the digits are rearranged, Sum of all digits of the number = 0 + 0 + 9 + 9 + 9 + 9 = 36 36 is divisible by 3. So, even if the number is rearranged then also it will be divisible by 3. Hence, the correct answer is 3.
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