Which of the following is a statement?

  • A
    Open the door
  • B
    Do your homework
  • C
    Switch on the fan
  • D
    Two plus two is four

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Write the negation of the following statement and check whether the resulting statement is true:
Australia is a continent.

The negation of the contrapositive of the statement $p \rightarrow (\sim q \wedge r)$ is

Check whether the following statement is true or false by proving its contrapositive: If $x, y \in \mathbb{Z}$ such that $xy$ is odd,then both $x$ and $y$ are odd.

Write the negation of the following statement:
Chennai is the capital of Tamil Nadu.

The statement $[(p \wedge q)$ $\rightarrow p]$ $\rightarrow (q \wedge \sim q)$ is

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