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? 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

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

Correct result is as follows:

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

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