Question

The favorite snacks of Grade 4 to Grade 8 students in a school are given in the Venn diagram. Which of the following options is a false statement about the diagram?

• A. The number of students who like only pizza = 42
• B. The number of students who like only burger = 57
• C. The number of students who like both pizza and burger = 20
• D. The number of students who like pizza but do not like burger = 40

Answer 1

The correct option is D The number of students who like pizza but do not like burger = 40

From the Venn diagram, we get:

The number of students who like both pizza and burger = 9 + 11 = 20

The number of students who like only pizza = 12 + 16 + 8 + 6 = 42

The number of students who like only burger = 15 + 10 + 14 + 18 = 57

Hence, these options are true.

The number of students who like pizza but do not like burger = 6 + 12 + 16 + 8 = 42

Hence, "the number of students who like pizza but do not like burger = 40" statement is false.