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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