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Question

Let ,{,} be such that Boolean expression (pq)(pq) is a tautology. Then:

A
=,=
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B
=,=
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C
=,=
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D
=,=
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Solution

The correct option is D =,=
(pq)(pq)
pqqpqpqpqpqTTFFTTTTFTTTFTFTFFFFTFFTFTFF

(pq)(pq)(pq)(pq)(pq)(pq)(pq)(pq)TTTTFTFTTTTTTTFF

From above Truth table, (pq)(pq) is a tautology.
=, =

Alternate Solution:
(pq)(p q)
=(pq)(p q)
=(p q)(p q)
= T
=
and ==

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