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Question

Ifp,q,r are simple propositions with truth values T,F,Tthen the truth value of [(~pq)~r]p is


A

True

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B

False

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C

True, if r is false

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D

None of these

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Solution

The correct option is A

True


Explanation for the correct option

p,q,r are simple propositions with truth values T,F,T

~pqmeansFF=F~rmeansF[(~pq)~r)=FF=FWherep=TmeansFT=T.

The true value of the given statement is True

Hence option ‘a’ is correct.


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