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Q.

Among the statements:

 (S1)  ((pq)r)(pr)

(S2) ((pq)r)((pr)(qr))

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a

nether (S1) nor (S2) is a tautology

b

only (S1) is a tautology

c

both (S1) and (S2) are tautologies

d

only (S2) is a tautology

answer is A.

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Detailed Solution

detailed_solution_thumbnail




 

pqrpqpqrprpqrpr
TTTTTTT
TTFTFFT
TFTTTTT
TFFTFFT
FTTTTTT
FTFTFTF
FFTFTTT
FFFFTTT
pqrpqpqrprqrprqr
TTTTTTTT
TTFTFFFF
TFTTTTTT
TFFTFFTT
FTTTTTTT
FTFTFTFT
FFTFTTTT
FFFFTTTT

 

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