Contrapositive Proof Quizzes, Questions & Answers

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Contrapositive with Quantifiers, Sets, and Limits

Contrapositive With Quantifiers, Sets, And Limits

Ready to level up your contrapositive skills in more abstract math? In this quiz, you’ll apply contraposition to statements about sets, intersections, divisibility, factorial inequalities, limits, and...

Questions: 15 | Attempts: 10 | Last updated: Dec 1, 2025

Sample Question
Give the contrapositive of "If x ∈ A ∩ B, then x ∈ A":

If x ∉ A, then x ∉ A ∩ B

If x ∈ A, then x ∈ A ∩ B

If x ∉ A ∩ B, then x ∉ A

If x ∈ A ∩ B, then x ∉ A

Contrapositive in Calculus and Number Theory

Contrapositive In Calculus And Number Theory

Think you can handle proofs that mix logic with calculus and algebra? This quiz lets you test that by working with classic results like “differentiable implies continuous,” inequalities involving squares, and...

Questions: 15 | Attempts: 10 | Last updated: Dec 1, 2025

Sample Question
Which statement is the contrapositive of "If a function f is differentiable at x = c, then f is continuous at x = c"?

If a function f is continuous at x = c, then f is differentiable at x = c

If a function f is not continuous at x = c, then f is not differentiable at x = c

If a function f is not differentiable at x = c, then f is not continuous at x = c

If a function f is discontinuous at x = c, then f is differentiable at x = c

Contrapositive Fundamentals: Logic, Parity, and Common Pitfalls

Contrapositive Fundamentals: Logic, Parity, And Common Pitfalls

Are you ready to see how “flipping” a statement can actually make it easier to prove? In this quiz, you’ll practice turning an implication into its contrapositive, carefully negating phrases like “both are...

Questions: 15 | Attempts: 10 | Last updated: Dec 1, 2025

Sample Question
To prove "If ab is odd, then a and b are odd" by contrapositive, show:

If a or b is even, then ab is even

If ab is even, then a or b is even

If a and b are even, then ab is even

If a is odd, then ab is odd

Contrapositive Proof Quizzes, Questions & Answers

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