What is the smallest natural number that should be added to 54321 so that the sum is divisible by 6?
Explanation:
For a number to be divisible by 6, it should be divisible by both 2 and 3.
For any number to be divisible by 2, its unit's digit should be even and for any number to be divisible by 3, sum of its digits should be divisible by 3.
For 54321, units digit is odd. To make unit's digit even the least number that can be added is 1 but then the sum of the digits will not be divisible by 3.
∴ Least number to be added is 3. This will make the unit's digit even while sum of the digits will be divisible by 3.
Hence, option (b).
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