Question
In the following numbers, replace $*$ by the smallest number to make it divisible by $9:$
$835*86$

Answer

$835686$
Here, $8 + 3 + 5 + * + 8 + 6 = 30 + *$ should be a multiple of $9.$
To be divisible of $9,$ the least value of $*$ should be $6,$ i.e., $30 + 6 = 36$, which is a multiple of $9.$
$\therefore * = 6$

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