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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


Team Careers360 8th Jan, 2024
Answer (1)
Team Careers360 18th Jan, 2024

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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