Which of the following statement is a contradiction?

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(~p∨~q)∨(p∨~q)

(p→q)∨(p∧~q)

(~p∧q)∧(~q)

(~p∧q)∨(~q)

answer is C.

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Detailed Solution

We consider following truth tableClearly, last column of the above truth table contains only F. Hence, (p∧q)∧~(p∨q) is a contradiction

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