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Q.

Consider the following statements:p : It rains todayq : I go to schoolr : I shall meet any friendss : I shall go for a movieThen which of the following propositions represents '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)or ~(p∧q)→(r∧s)

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Consider the following statements:p : It rains todayq : I go to schoolr : I shall meet any friendss : I shall go for a movieThen which of the following propositions represents 'If it does not rain or if I do not go to school, then I shall meet my friend and go for a movie.'?