Question

Negation of “Ram is in Class $\text{X}$ or Rashmi is in Class $\text{XII}$” is

• A. Ram is not in class $\text{X}$ but Ram is in class $\text{XII}$
• B. Ram is not in class $\text{X}$ but Rashmi is not in class $\text{XII}$
• C. Either Ram is not in Class $\text{X}$ or Ram is not in class $\text{XII}$
• D. None of these

Answer 1

The correct option is D

None of these

Explanation for the correct option:

Finding the negation of the given statement:

Let $p$: Ram is in Class $\text{X}$

$q$: Rashmi is in Class $\text{XII}$

Given Proposition is $\mathrm{p}\vee \mathrm{q}$

Its negation is $$\begin{gathered} ~(\mathrm{p}\vee \mathrm{q}) \\ =~\mathrm{p}\wedge ~\mathrm{q} \end{gathered}$$

Thus the negation is, Ram is not in Class $\text{X}$ and Rashmi is not in Class $\text{XII}$.

Hence, the correct answer is option (D).