Hi All,
We're asked what percent of the drama club members enrolled at a certain school are female students. This question can be solved in a number of different ways; you'll find that a bit of logic (and some basic note-taking to keep track of your deductions) is all that's needed to get to the correct answer.
1) Of the female students enrolled at the school, 40 percent are members of the drama club.
Fact 1 doesn't tell us the exact number of students in the drama club - and it doesn't provide any way to deduce the relationship of the number of female students to total students in the drama club.
Fact 1 is INSUFFICIENT
2) Of the male students enrolled at the school, 25 percent are members of the drama club.
Similar to the information in Fact 1, Fact 2 doesn't tell us the exact number of students in the drama club - and it doesn't provide any way to deduce the relationship of the number of female students to total students in the drama club.
Fact 2 is INSUFFICIENT
Combined, we know...
Of the female students enrolled at the school, 40 percent are members of the drama club.
Of the male students enrolled at the school, 25 percent are members of the drama club.
These facts both link back to the TOTAL female students and TOTAL male students in the SCHOOL, but there's no way to account for the 'scale' of those percents. For example, there could be 100 female students in the School (so 40 of them would be in the drama club), but there could also be 1,000 female students in the School (with 400 of them - a much larger number than 40 - in the drama club). Without that type of 'relationship data', there's no way to determine the actual ratio of females to total students in the drama club.
Combined, INSUFFICIENT
Final Answer: E
GMAT assassins aren't born, they're made,
Rich