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Question

If p is any statement, t and c are a tautology and a contradiction respectively, then which of the following is NOT correct?

A
ptp
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B
pcc
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C
ptc
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D
pcp
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Solution

The correct option is C ptc
When p and q both are true then
(pq) and (pq) both are false
i.e. (pq)(pq) is truewhen p and q both are false then (pq) is false and (pq) is true
i.e. (pq)(pq) is false
Hence (pq)(pq) is neighter tautologynor contradiction.

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