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. $\sim (p\wedge q)\Rightarrow (r\wedge s)$
• B. $\sim (p\wedge \sim q)\Rightarrow (r\wedge s)$
• C. $\sim (p\wedge q)\Rightarrow (r\vee s)$
• D. None of these

Answer 1

The correct option is A $\sim (p\wedge q)\Rightarrow (r\wedge s)$

Correct result is $(\sim p\vee \sim q)\Rightarrow (r\wedge s)$
So, $\sim (p\wedge q)\Rightarrow (r\wedge s)$