Closed Sets Quizzes, Questions & Answers

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Top Trending Closed Sets Quizzes

Explore whether operations keep you “inside” a set. In this quiz, you’ll test closure across integers, rationals, and reals. Try this quiz to learn the basics of closure.

Questions: 15 | Attempts: 11 | Last updated: Dec 10, 2025

Sample Question 1
A set is closed under an operation if:

It is finite

Every result belongs to the set

It has at least one element

It contains the universal set

Sample Question 2
Integers are not closed under:

Addition

Subtraction

Multiplication

Division

Challenging Problems with Closed Sets

Challenging Problems With Closed Sets

Think you’ve mastered closure? This quiz brings tough problems requiring deeper insight. Take this quiz to push your closure understanding further.

Questions: 15 | Attempts: 10 | Last updated: Dec 10, 2025

Sample Question 1
Which set is closed under addition?

Evens

Primes

Naturals

None

Sample Question 2
Which set is closed under subtraction?

Integers

Whole numbers

Naturals

Non-negative integers

Recent Closed Sets Quizzes

Reasoning About Closure in Mathematics

Closure is about explanation as much as calculation. In this quiz, you’ll reason why certain sets are (or aren’t) closed. Try this quiz to strengthen mathematical logic.

Questions: 15 | Attempts: 10 | Last updated: Dec 10, 2025

Sample Question
Closure under one operation implies closure under all?

Yes

No

Sometimes

Only for integers

Testing Closure with Operations

Addition, multiplication, and beyond — do sets stay closed? In this quiz, you’ll test closure through different operations. Take this quiz to see how sets behave under rules.

Questions: 15 | Attempts: 10 | Last updated: Dec 10, 2025

Sample Question
Odd integers are closed under:

Addition

Multiplication

Division

None