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Mathematical Reasoning
easy
Negation of “Ram is in Class $X$ or Rashmi is in Class $XII$” is
A
Ram is not in class $X$ but Ram is in class $XII$
B
Ram is not in class $X$ but Rashmi is not in class $XII$
C
Either Ram is not in class $X$ or Ram is not in class $XII$
D
None of these
Solution
(d) Let $p$ : Ram is in Class $X$, $q$: Rahim is in class $XII$
Given proposition is $p \vee q$
Its negation is $\sim (p \vee q) = \;\sim p\, \wedge \sim q$
i.e. Ram is not in class $X$ and Rahim is not in class $XII$.
Standard 11
Mathematics