Countable Sets Quizzes, Questions & Answers

Top Trending Countable Sets Quizzes

Unions, Products, and Constructions of Countable Sets Quiz

Unions, Products, And Constructions Of Countable Sets Quiz

How do countable sets behave under common set operations? This quiz explores what happens when you take subsets, unions, Cartesian products, power sets, and structured collections built from countable sets. You’ll analyze...

Questions: 17 | Attempts: 10 | Last updated: Dec 1, 2025

Sample Question 1
If set A is countable, what can be said about any subset of A?

It is uncountable

It must be finite

It might be countable or uncountable

It is also countable

Sample Question 2
If A and B are both uncountable, their intersection A ∩ B must be uncountable.

True

False

Cardinality, ℵ₀, and Cantor’s Diagonal Argument Quiz

Cardinality, ℵ₀, And Cantor’s Diagonal Argument Quiz

Ready to compare different infinities? This quiz focuses on cardinality symbols like ℵ₀ and 2^ℵ₀, and how they classify sets such as ℕ, ℚ, ℝ, P(ℕ), and various function spaces. You’ll revisit...

Questions: 17 | Attempts: 10 | Last updated: Dec 1, 2025

Sample Question 1
The cardinality of a countably infinite set is denoted by:

N

∞

ℵ₀ (aleph-null)

C

Sample Question 2
Which of these sets has a cardinality of ℵ₀?

The real numbers ℝ

The power set of ℕ

The rational numbers ℚ

The interval (0,1)