A) $r \wedge~p$
B) $\neg p\wedge q\wedge r$
C) $r \rightarrow(q \leftrightarrow\; \sim p)$
D) $\neg q\wedge \neg p\wedge r$
E) I can break the statements in this way , For hiking on the trail to be safe, it is necessary that berries not be ripe along the trail and for grizzly bears not to have been seen in the area.but not sufficient that berries not be ripe along the trail and for grizzly bears not to have been seen in the area.
So, I can write (~r⋀~p) is necessary for q which q-->(~r⋀~p) and (~r⋀~p) is not sufficient condition q which is (~( ~r⋀~p))--> q
So, final ans (q-->(~r⋀~p)) ⋀ ((~( ~r⋀~p))--> q)
F) (p⋀r )--> ~q