+1 vote

$\text{Statement:}$ Either $\text{P}$ marries $\text{Q}$ or $\text{X}$ marries $\text{Y}$

Among the options below, the logical $\text{NEGATION}$ of the above statement is :

1. $\text{P}$ does not marry $\text{Q}$ and $\text{X}$ marries $\text{Y}$
2. Neither $\text{P}$ marries $\text{Q}$ nor $\text{X}$ marries $\text{Y}$
3. $\text{X}$ does not marry $\text{Y}$ and $\text{P}$ marries $\text{Q}$
4. $\text{P}$ marries $\text{Q}$ and $\text{X}$ marries $\text{Y}$

recategorized

The given statement is: Either $\text{P}$ marries $\text{Q}$ or $\text{X}$ marries $\text{Y}.$
The  logical NEGATION of the above statement is : Neither $\text{P}$ marries $\text{Q}$ nor $\text{X}$ marries $\text{Y}.$
We can also write the above statement as $P$ does not marry $Q$ and $X$ does not marries $Y.$
So, the correct answer is $(B).$