If p : It raining today, $\mathrm{q}:$ 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'?

• Correct answer
  A

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

  $\sim(\mathrm{p} \wedge \sim \mathrm{q}) \Rightarrow(\mathrm{r} \wedge \mathrm{s})$
• C

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

  None of these

Hence, the correct answer is option: 'A'.