Mathematical Logic And Boolean Algebra Question 41

Question: Negation of ‘Paris in France and London is in England’’ is

Options:

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

Show Answer

Answer:

Correct Answer: B

Solution:

[b] Let p: Paris is in France, q: London is in England
$ \therefore $ we have $ p\wedge q $ Its negation is $ \tilde{\ }(p\wedge q)=\tilde{\ }p\vee \tilde{\ }q $ i.e., Paris is not in France or London is not in England.