Q93 / 170 · Manipal (MET) 2017 · Mathematics

Negation of "Paris is in France and London is in England" is

  • A
    Paris is in England and London is in France.
  • Correct answer
    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 the above

Solution

Let $p$ : Paris is in France. $q$ : London is in England. $\therefore$ We have, $p \wedge q$ Its negation is $\sim(p \wedge q)=\sim p \vee \sim q$ ie, Paris is not in France or London is not in England.

Hence, the correct answer is option: 'B'.

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