Question

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 1

Answer: (B)

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

Answer 2

Correct result is as follows:
$(\sim p \vee \sim q ) \Rightarrow (r \wedge s)$
or $\sim (p \wedge q) \Rightarrow r \wedge s$