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Question

Considering truth table for p(pq) as follows,
pqp(pq)TTATFBFTCFFD
Identify the correct statement among the following

A
The truth value of A is opposite to that of B
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B
The truth value of A is opposite to that of C
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C
The truth value of A is opposite to that of D
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D
The truth value of C is opposite to that of D
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Solution

The correct option is A The truth value of A is opposite to that of B
pqqpq(pq)p(pq)TTFFTTTFTTFFFTFFTTFFTFTT

The truth value of A,C,D is true and that of B is false. So clearly, the truth value of A is opposite to that of B

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