The contrapositive of the statement "I go to school if it does not rain" is

  • [JEE MAIN 2014]
  • A

    If it rains, I do not go to school

  • B

    If I do not go to school, it rains

  • C

    If it rains, I go to school

  • D

    If I go to school, it rains

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If $\mathrm{p} \rightarrow(\mathrm{p} \wedge-\mathrm{q})$ is false, then the truth values of $p$ and $q$ are respectively

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Consider the statement "The match will be played only if the weather is good and ground is not wet". Select the correct negation from the following:

  • [JEE MAIN 2021]

Which one of the following Boolean expressions is a tautology?

  • [JEE MAIN 2019]

The negative of $q\; \vee \sim (p \wedge r)$ is

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