replace * by the digit so that 784*679 is divisible by 3.
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Given that, the number 66784∗ is divisible by 9.
To find out: The smallest value of ∗.
We know that, a number is divisible by 9, if the sum of its digits is divisible by 9.
The sum of digits of the give number =6+6+7+8+4+∗
⇒31+∗
The smallest number after 31 which is divisible by 9 is 36.
Hence, for the smallest value of ∗, the sum of digits should be 36.
∴ 31+∗=36
⇒∗=36−31=5
Hence, the smallest value of ∗ for which the number 66784∗ is divisible by 9, is 5.
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