Question

Negation of “Paris is in France and London is in England” is

• A. Paris is in England and London is in France
• B. Paris is not in France or London is not in England
• C. Paris is in England or London is in France
• D. None of these

Answer 1

The correct option is B

Paris is not in France or London is not in England

Explanation for the correct answer:

Obtaining the negation for the given statement:

The given statement is "Paris is in France and London is in England" and it can be considered as

$p:$ Paris is in France and $q:$ London is in England

so, the given statement is written as $p\wedge q$ and its negation is given as

$~\left(p\wedge q\right)=~p\vee ~q$

Now the negation of $p$and $q$ is given as,

$$\begin{gathered} ~p=\text{Paris is not in France} \\ ~q=\text{London is not in England} \end{gathered}$$

Thus, $~\left(p\wedge q\right)=~p\vee ~q$= Paris is not in France or London is not in England

Hence, option (B) is the correct answer.