Question

Negation of “Ram is in class X or Rashmi is in class XII” is
A.Ram is not in class X but Rashmi is in class XII
B.Ram is not in class X and Rashmi is not in class XII
C.Either Ram is not in class X or Rashmi is not in class XII
D.None of the above

Answer 1

Hint : In mathematics the negation is important to determine the opposite of the given mathematical expression. In Actual it is the negating the statement. Here we will consider the given statement as true and then will find the false statement accordingly that being the opposite of the given statement.

Complete step-by-step answer :
Let us denote that “p” as Ram is in class X
Similarly let us denote that “q” as Rashmi is in class XII
Therefore, the given proposition is $p \vee q$
Now the negation can be expressed as
$\sim \left( {p \vee q} \right) = \sim p \wedge \sim q$
So, the opposite sentence of the given statements will be –
Ram is not in class X and Rashmi is not in class XII
So, the correct answer is “Option B”.

Note : Negation is the process which turns an affirmative statement into its opposite denial. Always remember and keep in mind that if the given statement is true then its negation is false and if the given statement is false then its negation is true. Negations are the words which include words such as no, not and never. Sentences can be changed in opposite meaning using such negation words.