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Question

If p,q,r are simple propositions with truth values T,F,T then the truth value (~pq)~rp is


A

True

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B

False

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C

True if r is false

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D

True if q is true

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Solution

The correct option is A

True


Explanation for the correct option

Lets examine the LHS of the expression (~pq)~rp

Now the truth value for p true then ~p is F and the truth value for q is F then,

(~pq) means FF=F

Then, we have the truth value of r as T

Therefore, the statement ~r is F

This implies that (~pq)~r=FF which is equal to F

Now (~pq)~rp is FT which is means T

Therefore, truth value of the given statement is True

Hence, option (A) is the correct answer.


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