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Question: Answered & Verified by Expert
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.
MathematicsMathematical ReasoningJEE Main
Options:
  • 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
Solution:
2405 Upvotes Verified Answer
The correct answer is: $\sim(p \wedge q) \Rightarrow(r \wedge s)$
Correct result is $(\sim p \vee \sim q) \Rightarrow(r \wedge s)$
So, $\sim(p \wedge q) \Rightarrow(r \wedge s)$

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