Contradiction Method Quizzes, Questions & Answers

Top Trending Contradiction Method Quizzes

Proof by Contradiction Quiz: Expose Logical Inconsistencies

Proof by contradiction can feel like a clever puzzle, and this contradictions proof quiz lets you practice the method in a clear, intuitive way. You’ll assume the opposite of what you want to prove, follow the...

Questions: 20 | Attempts: 24 | Last updated: May 21, 2026

Sample Question 1
What is the defining feature of a proof by contradiction?

You assume the negation and derive an impossibility

You avoid assumptions entirely

You prove the statement directly

You rely only on examples

Sample Question 2
To prove 'If ab is even, then at least one of a or b is even' by contradiction, what should be assumed?

Ab is even and both a and b are odd

Ab is even and both a and b are even

Ab is odd and both a and b are odd

Ab is odd and both a and b are even

Existence, Non-Existence, and Parity via Contradiction

Ready to level up your contradiction skills with more abstract ideas? In this quiz, you’ll apply proof by contradiction to statements about sets, divisibility, and “smallest” or “largest” objects, as...

Questions: 15 | Attempts: 11 | Last updated: Jan 28, 2026

Sample Question 1
What is the key characteristic of a proof by contradiction?

It relies on deriving a contradiction.

It uses direct reasoning.

It avoids assumptions.

It only works for false statements.

Sample Question 2
To prove that "if a and b are integers and ab is even, then at least one of a or b is even" by contradiction, what is assumed?

Ab is even and both a and b are even.

Ab is even and both a and b are odd.

Ab is odd and both a and b are odd.

Ab is odd and both a and b are even.

Recent Contradiction Method Quizzes

Classic Number-Theoretic Proofs by Contradiction

Questions: 15 | Attempts: 10 | Last updated: Jan 28, 2026

Sample Question
What is the first step in a proof by contradiction?

Assume the negation of the statement is true.

Assume the statement is true.

Prove the statement directly.

Find a counterexample.

Core Ideas of Proof by Contradiction

Questions: 15 | Attempts: 10 | Last updated: Jan 28, 2026

Sample Question
What is the primary goal of assuming the negation in a proof by contradiction?

To prove the negation true

To derive a contradiction

To avoid direct proof

To simplify the problem