Mathematical Reasoning question bank (Maths)

Consider the following statements:

$P:$ Ramu is intelligent.

$Q:$ Ramu is rich.

$R:$ Ramu is not honest.

The negation of the statement "Ramu is intelligent and honest if and only if Ramu is not rich" can be expressed as:

Let $\Delta \in \left\{\wedge ,\vee ,\Rightarrow ,\iff \right\}$ be such that $\left(p\wedge q\right)\Delta \left(\left(p\vee q\right)\Rightarrow q\right)$ is a tautology. Then $\Delta$ is equal to