6*2 is three digit number with * as a missing digit. If the number is divisible by 6, the missing digit is

Divisibility of 6 = Number should be multiple of 3 and 2
6*2 it is definitely divisible by 2
To be divisible by 3 Sum of all digits of the number be divisible by 3
We just try to put value in place of *
632 = 6 + 3 + 2 = 11(not divisible by 3)
662 = 6 + 6 + 2 = 14(not divisible by 3)
672 = 6 + 7 + 2 = 15( divisible by 3)
622 = 6 + 2 + 2 = 10(not divisible by 3)
∴ * is replaced by 7