Which of the following is the inverse of the proposition : “If a number is a prime then it is odd.”

  • A

    If a number is not a prime then it is odd

  • B

    If a number is not a prime then it is not odd

  • C

    If a number is not odd then it is not a prime

  • D

    If a number is not odd then it is a prime

Similar Questions

Consider the following three statements :
$P : 5$ is a prime number.
$Q : 7$ is a factor of $192$.
$R : L.C.M.$ of $5$ and $7$ is $35$.
Then the truth value of which one of the following statements is true?

  • [JEE MAIN 2019]

The number of ordered triplets of the truth values of $p, q$ and $r$ such that the truth value of the statement $(p \vee q) \wedge(p \vee r) \Rightarrow(q \vee r)$ is True, is equal to

  • [JEE MAIN 2023]

Consider the two statements :

$(\mathrm{S} 1):(\mathrm{p} \rightarrow \mathrm{q}) \vee(\sim \mathrm{q} \rightarrow \mathrm{p})$ is a tautology

$(S2): (\mathrm{p} \wedge \sim \mathrm{q}) \wedge(\sim \mathrm{p} \vee \mathrm{q})$ is a fallacy.

Then :

  • [JEE MAIN 2021]

The negation of the statement $''96$ is divisible by $2$ and $3''$ is

If $p \to ( \sim p\,\, \vee \, \sim q)$ is false, then the truth values of  $p$ and  $q$ are respectively .

  • [JEE MAIN 2018]