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Question

The statement (pq)(~pq) is a


A

Tautology

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B

contradiction

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C

Neither A nor B

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D

none of these

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Solution

The correct option is C

Neither A nor B


Explanation for correct option:

Given statement, (pq)(~pq)

Make a truth table

pq~ppq~pq(pq)(~pq)TTFTFFTFFFFTFTTTTTFFTTFF

(pq)(~pq) is neither a contradiction nor tautology.

Hence, option (C) is the correct answer.


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