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Question

Consider the following statements:

Statement I:(p~q)(~pq) is a fallacy.

Statement II: (pq)(~q~p) is a tautology.


A

Statement I is correct, Statement II is correct; Statement II is a correct explanation for Statement I

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B

Statement I is correct; Statement II is correct; Statement II is not a correct explanation for Statement I

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C

Statement I is correct, Statement II is incorrect

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D

Statement I is incorrect, and Statement II is correct

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Solution

The correct option is B

Statement I is correct; Statement II is correct; Statement II is not a correct explanation for Statement I


Explanation for the correct option:

Step 1. Check Statement II :

Statement II: (pq)(~q~p)(pq)(pq) which is always true.

So, statement II is true.

Step2. Check Statement I :

Statement I:(p~q)(~pq)

=(p~q)(~pq)=(p~p)(~qq)=FF=F

So, it is a fallacy statement.

Thus, Statement I is correct; Statement II is correct; Statement II is not a correct explanation for Statement I

Hence, the correct option is B.


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