Set Theory Part 4 Quiz

Set Theory Part 4 Quiz brings to mind a curious moment from the 19th century when George Boole introduced symbolic logic, laying the groundwork for modern set theory. At the time, many thought his ideas were too abstract to be practical. Today, they’re behind everything from search engines to databases. This quiz on set operations captures that same spirit of exploration with fun questions about union and intersection sets, subsets, and the relationships between them. It’s a great way to explore concepts without getting lost in jargon. Whether you love logic puzzles or just want to test your recall, this sets and subsets quiz offers something enjoyable and bite-sized.

Set Theory Part 4

If set A is the set of all students who own a bicycle, and set B is the set of all students who own a skateboard, what does A∪B represent?

Students who own a bicycle or a skateboard (or both)

Students who own neither a bicycle nor a skateboard

Students who own a bicycle and a skateboard

Students who own only a bicycle

If A={1, 2, 3} and B={1, 2, 3}, what is the relationship between A and B?

A is a proper subset of B

A is an empty set

A and B are disjoint sets

A and B are equal sets

Given U={1, 2, 3, 4, 5, 6}, A={1, 2, 3}, and B={3, 4, 5}, what is (A∪B)′?

{1, 2, 3, 4, 5}

{6}

{3}

{1, 2, 4, 5, 6}

If set A is the set of even numbers, and set B is the set of numbers divisible by 4, what is the relationship?

Set A and set B are disjoint

Set A and set B are equal

Set B is a subset of set A

Set A is a subset of set B

What is the set difference {1, 2, 3, 4} − {3, 4, 5}?

{1, 2, 5}

{5}

{3, 4}

{1, 2}

A set that contains all elements under consideration in a particular context is called a:

Subset

Disjoint set

Universal set

Finite set

Which of the following describes the set {x∣x is a positive integer and x<5}?

{0, 1, 2, 3, 4}

{1, 2, 3, 4}

{1, 2, 3, 4, 5}

{2, 3, 4}

Which statement is true for the sets A={1, 2} and B={1, 2, 3}?

A and B are equal sets

B is a proper subset of A

A is a universal set of B

A is a proper subset of B

What is the intersection of the set of all capital letters in the English alphabet and the set of all vowels?

{A, E, I, O, U}

The set of all consonants

The entire English alphabet

{a, e, i, o, u}

Given A={1, 2, 3}, B={3, 4, 5}, what is the cardinality of A∪B?

Your score is

The average score is 80%

Sample Questions from This Quiz

If set A is the set of all students who own a bicycle, and set B is the set of all students who own a skateboard, what does A∪B represent?
If set A is the set of even numbers, and set B is the set of numbers divisible by 4, what is the relationship?
If A={1, 2, 3} and B={1, 2, 3}, what is the relationship between A and B?
What is the set difference {1, 2, 3, 4} − {3, 4, 5}?
A set that contains all elements under consideration in a particular context is called a?

Try the full quiz and see how many of these you can answer!