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Q.

If p: It rains today, q=I go to the school, r=I shall meet my 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.

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a

~(p∧q)→(r∧s)

b

~(p∨q)(r∨s)

c

(~p∧~q)(r∧s)

d

None of these

answer is A.

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Detailed Solution

Correct result is (~p∨~q)→(r∧s)=∼(p∧q)→(r∧s)

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If p: It rains today, q=I go to the school, r=I shall meet my 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.