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Question

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


A

Paris is in England and London is in France

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B

Paris is not in France or London is not in England

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C

Paris is in England or London is in France

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D

None of these

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Solution

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 pq and its negation is given as

~pq=~p~q

Now the negation of pand q is given as,

~p=ParisisnotinFrance~q=LondonisnotinEngland

Thus, ~pq=~p~q= Paris is not in France or London is not in England

Hence, option (B) is the correct answer.


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