Proof by contrapositive Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/discrete-math/proof-by-contrapositive/quiz/

1. 1

   Prove if n² is even, then n is even

   Answer: ____________________

2. 2

   Prove if 3n + 1 is even, then n is odd

   Answer: ____________________

3. 3

   Prove if n + 7 is odd, then n is even

   Answer: ____________________

4. 4

   Prove if n² + 4 is odd, then n is odd

   Answer: ____________________

5. 5

   Prove if xy is even, then x is even or y is even

   Answer: ____________________

6. 6

   Prove if n² + 2n is odd, then n is odd

   Answer: ____________________

7. 7

   Prove if n² + 3 is even, then n is odd

   Answer: ____________________

8. 8

   Prove if x + y is odd, then x is odd or y is odd

   Answer: ____________________

9. 9

   Prove if n² − 6n + 5 is even, then n is odd

   Answer: ____________________

10. 10

    Prove if n³ + 5 is odd, then n is even

    Answer: ____________________