A six-digit number is divisible by 198. If the digits are rearranged, even then the number will be divisible by:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 3.
Divisor = 198
Divisibility rule of 3 = Sum of all digits of the whole number should be divisible by 3.
Largest six-digit number = 999999
999999/198, we get -
Quotient = 5050, Remainder = 99
Six-digit number divisible by 198 = 999999 - 99 = 999900
If the digits are rearranged -
Sum of all digits of the number = 9 + 9 + 9 + 9 = 36
36 is divisible by 3
Now another six-digit number which is divisible by 198 = 999900 - 198 = 999702
If the digits are rearranged -
The sum of all digits of the number = 9 + 9 + 9 + 7 + 2 = 36
Therefore, if the digits are rearranged, the number will be divisible by 3.