Set Theory Part 3 Quiz

Set Theory Part 3 Quiz takes you deeper into the world of sets, where logic and structure come together. Did you know that the concept of an “empty set” puzzled mathematicians for centuries? It wasn’t until the late 19th century that it was formally accepted as a valid mathematical entity, thanks to the work of Georg Cantor and others. The idea that “nothing” could be something was surprisingly controversial. This quiz helps you explore similar quirks in basic set theory questions with an easy-to-use format. Expect math set quiz fun with subtle challenges in areas like finite and infinite sets or proper subsets quiz logic. It’s a light way to stretch your reasoning and learn something new along the way.

Set Theory Part 3

If A={2, 4, 6, 8}, which of the following is NOT a subset of A?

{8}

{6, 8, 10}

{ }

{2, 4}

What is the union of the set of all odd numbers and the set of all even numbers?

The empty set

The set of all prime numbers

The set of all natural numbers

The set of all integers

Which symbol represents 'is a subset of'?

A ⊂ B

A ∩ B

A ∪ B

A ∈ B

If A={1, 3, 5, 7, 9} and B={1, 2, 3, 4, 5}, what is A∩B?

{2, 4, 7, 9}

{1, 2, 3, 4, 5, 7, 9}

{1, 3, 5}

{1, 3}

A set with a finite number of elements is called a:

Finite set

Infinite set

Subset

Empty set

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

{2, 4, 6}

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

{ }

{1, 3, 5, 7}

Which of the following is a disjoint set with {10, 20, 30}?

{20, 30, 40}

{5, 15, 25}

{5, 10, 15}

{30, 40, 50}

How many proper subsets does the set {x, y} have?

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

{a, b, c, d, e}

{a, c, e}

{b, d}

{a, b, c, d}

Which of the following is an empty set?

The set of all letters in the word 'set'.

The set of all even numbers.

The set of all months starting with the letter 'Z'.

The set of all prime numbers less than 10.

Your score is

The average score is 73%

Sample Questions from This Quiz

What is the union of the set of all odd numbers and the set of all even numbers?
If A={1, 3, 5, 7, 9} and B={1, 2, 3, 4, 5}, what is A∩B?
If U={1, 2, 3, 4, 5, 6, 7} and A={2, 4, 6}, what is A′ ?
How many proper subsets does the set {x, y} have?
If A={a, b, c, d} and B={b, d, e}, what is A ∪ B?

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