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

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The contrapositive of the statement pattern $[p \lor (p \to q)] \to (p \land \sim q)$ is

Consider the following three statements:
$(A)$ If $3+3=7$ then $4+3=8$.
$(B)$ If $5+3=8$ then earth is flat.
$(C)$ If both $(A)$ and $(B)$ are true then $5+6=17$.
Which of the following statements is correct?

Check the validity of the statement given below by the method specified against it.
$p:$ The sum of an irrational number and a rational number is irrational (by contradiction method).

The statement pattern $[p$ $\rightarrow(q$ $\rightarrow p)]$ $\rightarrow[p$ $\rightarrow(p \vee q)]$ is

The logical statement $(p \lor q) \land [(\sim p \land q) \lor (p \land \sim q)] \land \sim q$ is logically equivalent to

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