Question

If p : It rains today, q : I go to school, r : I shall meet any friends and

s : I shall go for a movie, then which of the following is the proposition :

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. $\sim(p \land q) \Rightarrow (r \land s)$
• B. $\sim(p\mspace{6mu} \land \sim q) \Rightarrow (r \land s)$
• C. $\sim(p\mspace{6mu} \land q)\mspace{6mu} \Rightarrow (r \vee s)$
• D. None of these

Answer 1

Answer: (A)

$\sim(p \land q) \Rightarrow (r \land s)$

Answer 2

Correct result is $(\sim p\mspace{6mu} \vee \sim q) \Rightarrow (r \land s)$

So, $\sim(p \land q) \Rightarrow (r \land s)$.