Question

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

• A. can be $\lor $ and $\land $ respectively
• B. can be $\land $ and $\lor $ respectively
• C. can both be $\Rightarrow $
• D. can be $\Rightarrow $ and $\Leftrightarrow $ respectively

Answer 1

Answer: (C)

$\left(p \land q\right)\Rightarrow r$
$\left(A\right)$ $p\lor \left(\right.q\land r\left.\right)$ $\left(A\right)$ is incorrect option
$\left(B\right)$ $p\land \left(q \lor r\right)$ $\left(B\right)$ is incorrect option
$\left(C\right)$ $p\Rightarrow \left(q \Rightarrow r\right)$ $\left(C\right)$ is correct option
(D) $p\Rightarrow \left(q \Leftrightarrow r\right)$ $\left(D\right)$ is incorrect option