Each of the students in a certain class received a single grade P, F, or I. What percent of the students in the class were females?
1. Of those who received a P, 40percent were females.
2. Of those who received either an F or I, 80 percent where males
When the statements are combined:
Of those who received a P, 40% are female.
Of those who received an F or I, 20% are female.
Case 1: P=10, F+I=90
Percent of the 100 students who are female = .4(10) + .2(90) = 22.
Case 2: P=90, F+I=10
Percent of the 100 students who are female = .4(90) + .2(10) = 38.
Since different percentages are possible, INSUFFICIENT.
The correct answer is
E.
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