The negation of the statement

"If I become a teacher, then I will open a school", is

  • [AIEEE 2012]
  • A

    I will become a teacher and I will not open a school.

  • B

    Either I will not become a teacher or I will not open a school.

  • C

    Neither I will become a teacher nor I will open a school

  • D

    I will not become a teacher or I will open a school.

Similar Questions

The statement $\sim[p \vee(\sim(p \wedge q))]$ is equivalent to

  • [JEE MAIN 2023]

The proposition $p \Rightarrow \;\sim (p\; \wedge \sim \,q)$ is

$(p\rightarrow q) \leftrightarrow (q \vee  ~ p)$ is

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

$\left(p^{\wedge} r\right) \Leftrightarrow\left(p^{\wedge}(\sim q)\right)$ is equivalent to $(\sim p)$ when $r$ is.

  • [JEE MAIN 2022]