Given that total employees = male manager + female manager + male director + female director

Target question => What is the probability of selecting a female director if a person is to be selected randomly from the company?

Statement 1 => 80% of the employees in the company are managers
Managers = 80% of total employees
Directors = (100 - 80% = 20%) of total employees
There is no information about the population of male and female, hence statement 1 is NOT SUFFICIENT

Statement 2 => There are no male directors in the company
All directors are female but the population of directors is unknown, hence statement 2 is NOT SUFFICIENT

Combining both statements together =>
From statement 1 => Manager = 80% and director = 20%
From statement 2 => There are no male directors, all 20% directors are female

From 100% of the total population, female director is 20%
If a person is randomly selected from the total population, the probability of selecting a female director = 20/100 = 1/5

Both statements combined together ARE SUFFICIENT

Answer = C