Statement $-1$ : The statement $A \to (B \to A)$ is equivalent to $A \to \left( {A \vee B} \right)$.

Statement $-2$ : The statement $ \sim \left[ {\left( {A \wedge B} \right) \to \left( { \sim A \vee B} \right)} \right]$ is a Tautology

  • [JEE MAIN 2013]
  • A

    Statement $-1$ is false; Statement $-2$ is true

  • B

    Statement $-1$ is true; Statement $-2$ is true;
    Statement $-2$ is not correct explanation for Statement $-1$ 

  • C

    Statement $-1$ is true; Statement $-2$ is false

  • D

    Statement $-1$ is true; Statement $-2$ is true;
    Statement $-2$ is the correct explanation for Statement $-1$

Similar Questions

$(\sim (\sim p)) \wedge q$ is equal to .........

The contrapositive of $(p \vee q) \Rightarrow r$ is

$\sim ((\sim p)\; \wedge q)$ is equal to

Which one of the following is a tautology ?

  • [JEE MAIN 2020]

The negation of the statement $(p \vee q)^{\wedge}(q \vee(\sim r))$ is

  • [JEE MAIN 2023]