Negation of statement "If I will go to college, then I will be an engineer" is -

  • A

    I will not go to college and I will be an engineer

  • B

    I will go to college and I will not be an engineer.

  • C

    Either I will not go to college or I will not be an engineer.

  • D

    Neither I will go to college nor I will be an engineer.

Similar Questions

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]

The logically equivalent proposition of $p \Leftrightarrow q$ is

The Boolean expression $ \sim \left( {p \Rightarrow \left( { \sim q} \right)} \right)$ is equivalent to

  • [JEE MAIN 2019]

Statement $\quad(P \Rightarrow Q) \wedge(R \Rightarrow Q)$ is logically equivalent to

  • [JEE MAIN 2023]

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