An example of a Math question from a Math reasoning class. The problem is from a Venn's diagram lesson.
The 65 students in a classical music lecture class were​ polled, with the results that 36 like Wolfgang Amadeus​ Mozart, 37 like Ludwig von​ Beethoven, 33 like Franz Joseph​ Haydn, 14 like Mozart and​ Beethoven, 21 like Mozart and​ Haydn, 15 like Beethoven and​ Haydn, and 8 like all three composers. Use a Venn diagram to complete parts​ (a) through​ (f) below.

a) How many of these students like exactly two of these​ composers?
b) How many of these students like exactly one of these​ composers?
c) How many of these students like none of these​ composers?
d) How many of these students like​ Mozart, but neither Beethoven nor​ Haydn?
e) How many of these students like Haydn and exactly one of the other​ two?
f) How many of these students like no more than two of these​ composers?