Question 1: Which of the following propositions is the converse of $\neg p \rightarrow q$?
(3 points)
A. $\neg q \rightarrow p$
B. $\neg q \rightarrow \neg p$
C. $q \rightarrow \neg p$
D. $p \rightarrow \neg q$
Question 2: Which of the following propositions is a tauoology? (3 points)
A. (p OR q) AND (NOT p)
B. (p OR q) OR (NOT p)
C. (p AND q) AND (NOT q)
D. (p OR q) AND (NOT q)
Question 3: Which of the following is true given the following propositions $p$: $t \rightarrow u$ and $q$: $\neg t$ OR $u$. (3 points)
A. p does not logically imply q
B. q does not logically imply p
C. p and q are logically equivalent
D. none of the above are true