The statement $p \rightarrow  (q \rightarrow p)$  is equivalent to

  • [AIEEE 2008]
  • A

    $p \rightarrow  (p \rightarrow q)$

  • B

    $p \rightarrow  (q\, \vee \, p)$

  • C

    $p \rightarrow  (q\, \wedge p)$

  • D

    $p \rightarrow (p  \leftrightarrow q)$

Similar Questions

For integers $m$ and $n$, both greater than $1$ , consider the following three statements
$P$ : $m$ divides $n$
$Q$ : $m$ divides $n^2$
$R$ : $m$ is prime,
then true statement  is

  • [JEE MAIN 2013]

Which of the following is always true

The statement "If $3^2 = 10$ then $I$ get second prize" is logically equivalent to

The inverse of the proposition $(p\; \wedge \sim q) \Rightarrow r$ is

The false statement in the following is