MathematicsSet Theory
Learn Mode

Set Theory and Venn Diagrams Quiz

Go to Quiz Page
#1

Which of the following sets is a subset of {1, 2, 3, 4}?

{1, 2}
Explanation

Subset contains elements 1 and 2.

#2

In a group of 80 students, 45 like chocolate ice cream, and 35 like vanilla ice cream. How many students like both chocolate and vanilla ice cream?

15
Explanation

15 students like both flavors.

#3

If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}, what is A ∩ B?

{4, 5}
Explanation

Intersection includes elements 4 and 5.

#4

If A and B are two sets such that n(A) = 30, n(B) = 40, and n(A ∩ B) = 10, what is n(A ∪ B)?

60
Explanation

Union size is the sum of individual set sizes minus the intersection size.

#5

In a class of 50 students, 30 play football, and 25 play cricket. If every student plays at least one sport, what is the maximum number of students who could play both football and cricket?

10
Explanation

Maximum 10 students could play both sports.

#6

If A = {x | x is a vowel in the word 'MATHEMATICS'} and B = {y | y is a consonant in the word 'MATHEMATICS'}, then what is A ∩ B?

{M, T}
Explanation

Intersection includes letters M and T.

#7

If A = {x | x is an even number between 1 and 10} and B = {y | y is a prime number between 1 and 10}, what is A ∩ B?

{2}
Explanation

Intersection includes the even number 2.

#8

If A = {a, b, c, d, e} and B = {a, c, e, g}, what is A - B?

{b, d}
Explanation

Set difference includes elements b and d.

#9

If A = {1, 2, 3, 4, 5} and B = {3, 4, 5, 6, 7}, what is A ∪ B?

{1, 2, 3, 4, 5, 6, 7}
Explanation

Union comprises elements 1 to 7.

#10

If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}, what is A - B?

{1, 2, 3}
Explanation

Set difference includes elements 1 to 3.

#11

If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {2, 4, 6, 8}, what is A' (the complement of A)?

{1, 3, 5, 7, 9, 10}
Explanation

Complement includes elements not in set A.

#12

In a class of 60 students, 35 study Mathematics, 25 study Physics, and 15 study both Mathematics and Physics. How many students study only Physics?

20
Explanation

Number studying only Physics is the difference between total Physics students and those studying both subjects.

Test Your Knowledge

Craft your ideal quiz experience by specifying the number of questions and the difficulty level you desire. Dive in and test your knowledge - we have the perfect quiz waiting for you!