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Question

Fill in the blank with smallest digit to make .......6724 divisible by 3.


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Solution

Since as we know that sum of all digits of a number is divisible by3 then the number is divisible by 3.

The sum of all digits of a number x6724 is x+6+7+2+4=19+x where x is the smallest digit.

When we x=2 then 19+2=21which is divisible by 3.

Hence, the smallest digit to be placed in blank space is 2 then digit 2 to make .......6724 divisible by 3.


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