14. Final Review

Proof Synthesis And Structural Themes In Integer Arithmetic — Quiz

Test your understanding of proof synthesis and structural themes in integer arithmetic with 5 practice questions.

Practice Questions

Question 1

Which expression shows that an integer $n$ is even?

Question 2

What is the contrapositive of the statement: If an integer $n$ is divisible by $4$, then $n$ is even?

Question 3

Which proof method begins by assuming the statement you want to prove is false and then derives a contradiction?

Question 4

If $a\mid b$ and $b\mid c$, which statement must be true?

Question 5

If $\gcd(a,b)=1$ and $a\mid bc$, what must be true?