1)

 If p; It rains today , q:I go to school , r; I shall meet my friends and s: I shall go for a movie,  then which of the following is the proportion?

 If it does not rain or if i do not go to school , then i shall meet my friend and go for a movie 


A) $ (\sim p \wedge \sim q)\Rightarrow(r \wedge s)$

B) $ \sim( p \wedge q)\Rightarrow(r \wedge s)$

C) $ \sim( p \vee q)\Rightarrow(r \vee s)$

D) None of these

Answer:

Option B

Explanation:

 Correct  result is as follows

 $(\sim p \vee \sim q)\Rightarrow(r  \wedge s)$

 or   $\sim (p \wedge  q)\Rightarrow r \wedge s$