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
∼(p∧q)⇒(r∧s)
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B
∼(p∧∼q)⇒(r∧s)
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C
∼(p∧q)⇒(r∨s)
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D
None of these
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Solution
The correct option is A∼(p∧q)⇒(r∧s) Correct result is (∼p∨∼q)⇒(r∧s) So, ∼(p∧q)⇒(r∧s)