Question

There are fewer than 40 students enrolled in a certain class. If, at a certain time, 2/9 of the students are absent from school and 1/4 of those in school have gone to the library, what is the total class enrollment?

a. 18
b. 27
c. 28
d. 32
e. 36

Answer 1

Well, we kinda hope that noone is splitting the students into parts;) so that means that the number of students must be divisible by 4 and 9, and since they don't have any divisors in common, it must be divisible by 4*9=36, and this is also the correct answer - 36.