Let $\oplus$ and $\otimes$ are two mathematical operators. If $p\oplus \left(q\otimes r\right)$ is equivalent to $\left(\left(p\wedge q\right)\Rightarrow r\right)$, then $\oplus$ and $\otimes$

• A

  can be $\vee$ and $\wedge$ respectively
• B

  can be $\wedge$ and $\vee$ respectively
• Correct answer
  C

  can both be $\Rightarrow$
• D

  can be $\Rightarrow$ and $\iff$ respectively

Solution

$\left(p\wedge q\right)\Rightarrow r$
$\left(A\right)$ $p\vee (q\wedge r)$ $\left(A\right)$ is incorrect option
$\left(B\right)$ $p\wedge \left(q\vee r\right)$ $\left(B\right)$ is incorrect option
$\left(C\right)$ $p\Rightarrow \left(q\Rightarrow r\right)$ $\left(C\right)$ is correct option
(D) $p\Rightarrow \left(q\iff r\right)$ $\left(D\right)$ is incorrect option

Hence, the correct answer is option: 'C'.