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# The statement $p V q \Rightarrow \: p \wedge q$ is a

$\begin {array} {1 1} (A)\;tautology & \quad (B)\;contradiction \\ (C)\;fallacy & \quad (D)\;None\: of\: these \end {array}$

 p q $p V q$ $p \wedge q$ $p V q \Rightarrow p \wedge q$ T T T T T T F T F F F T T F F F F F F T
Ans : (C)
Since the last column is not always true or false,
so it is a fallacy statement.