Question 1
a) In a competition, $25\%$ of all contestants receive an award. Of the male contestants, $\frac27$ receive an award, while $420$ males do not. There are $648$ female contestants. How many females receive an award?
b) Find the smallest positive integer that contains no digit $9$ and is divisible by $999$.
b) Find the smallest positive integer that contains no digit $9$ and is divisible by $999$.