Question

The statement $(p\Rightarrow q)\iff (~p\wedge q)$ is a

• A. Tautology
• B. contradiction
• C. Neither A nor B
• D. none of these

Answer 1

The correct option is C

Neither A nor B

Explanation for correct option:

Given statement, $(p\Rightarrow q)\iff (~p\wedge q)$

Make a truth table

$\begin{array}{|cccccc|}\hline p& q& ~p& p\Rightarrow q& ~p\wedge q& (p\Rightarrow q)\iff (~p\wedge q)\\ T& T& F& T& F& F\\ T& F& F& F& F& T\\ F& T& T& T& T& T\\ F& F& T& T& F& F\\ \hline\end{array}$

$(p\Rightarrow q)\iff (~p\wedge q)$ is neither a contradiction nor tautology.

Hence, option (C) is the correct answer.