Set Theory Part 1 Quiz

Set Theory Part 1 Quiz is where many begin their journey into the world of mathematical logic and structure. Here’s a curious little fact: In 1901, Bertrand Russell discovered a paradox about sets that contain themselves, shaking the foundations of set theory. Imagine a barber who shaves everyone in town who doesn’t shave themselves. Now, the question is, does the barber shave himself? This simple idea led to deep questions about how sets are defined. That’s the kind of thinking that makes set theory more than just a bunch of symbols. This quiz on sets brings you the basics with simple, clear examples. You’ll explore union of sets examples, finite and infinite sets, and even what is the cardinality of a set.

Set Theory Part 1

Which of the following is an example of a finite set?

The set of all real numbers between 0 and 1

The set of all integers

The set of all whole numbers

The set of months in a year

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

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

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

{1, 2, 5, 6}

{3, 4}

Given a universal set U={1, 2, 3, 4, 5} and a set A={1, 3, 5}, what is the complement of A, denoted as A′ or Ac?

{ }

{1, 3, 5}

{2, 4}

{1, 2, 3, 4, 5}

If set A={p, q, r}, which of the following is a proper subset of A?

{p, q, r}

{p, q}

{p, s}

{q, r, t}

What is the cardinality of the set A={2, 4, 6, 8, 10, 12}?

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

{a, b, c, d, e, f}

{ }

{d, e, f}

{a, b, c}

Which of the following describes the set {x | x is an even number and 1 < x < 10}?

{1, 2, 3, ..., 10}

{2, 4, 6, 8, 10}

{2, 4, 6, 8}

{3, 5, 7, 9}

If A={apple, banana, cherry} and B={apple, cherry, mango}, what is A∩B?

{apple, cherry}

{cherry}

{apple, banana, cherry, mango}

{banana, mango}

Which of the following is a proper subset of {a, b, c, d}?

{a, b, c, d, e}

{a, b, c, d}

{ }

{a, c}

What is the universal set for the sets A={1, 2} and B={3, 4}?

{1, 2}

{1, 2, 3, 4}

{ }

{3, 4}

Your score is

The average score is 80%

Sample Questions from This Quiz

If A={1, 2, 3, 4} and B={3, 4, 5, 6}, what is A∪B?
Given a universal set U={1, 2, 3, 4, 5} and a set A={1, 3, 5}, what is the complement of A, denoted as A′ or Ac?
What is the cardinality of the set A={2, 4, 6, 8, 10, 12}?
If A={a, b, c} and B={d, e, f}, what is A∩B?
If A={apple, banana, cherry} and B={apple, cherry, mango}, what is A∩B?

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