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Question

Given the following two statements:
(S1):(qp)(pq) is a tautology.
(S2):q(pq) is a fallacy. Then

A
Only (S1) is correct
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B
Both (S1) and (S2) are correct
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C
Only (S2) is correct
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D
Both (S1) and (S2) are not correct
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Solution

The correct option is D Both (S1) and (S2) are not correct
The truth table of S1 is given below:
pqqqp(pq)(qp)(pq)TTFTFFTFTTTTFTFTTTFFTFFT
S1 is not correct

The truth table of S2 is given below:
pqqppqq(pq)TTFFFFTFTFTTFTFTTFFFTTFF
S2 is not correct

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