Negation of “Ram is in Class $X$ or Rashmi is in Class $XII$” is
Ram is not in class $X$ but Ram is in class $XII$
Ram is not in class $X$ but Rashmi is not in class $XII$
Either Ram is not in class $X$ or Ram is not in class $XII$
None of these
The proposition $ \sim \left( {p\,\vee \sim q} \right) \vee \sim \left( {p\, \vee q} \right)$ is logically equivalent to
The negation of $(p \wedge(\sim q)) \vee(\sim p)$ is equivalent to
Which statement given below is tautology ?
The number of choices of $\Delta \in\{\wedge, \vee, \Rightarrow, \Leftrightarrow\}$, such that $( p \Delta q ) \Rightarrow(( p \Delta \sim q ) \vee((\sim p ) \Delta q ))$ is a tautology, is
Negation of statement "If I will go to college, then I will be an engineer" is -