Write the contrapositive of the following statement:
If you are born in India,then you are a citizen of India.

  • A
    If you are a citizen of India,then you are born in India.
  • B
    If you are not a citizen of India,then you are not born in India.
  • C
    If you are not born in India,then you are not a citizen of India.
  • D
    If you are a citizen of India,then you are not born in India.

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

Write the converse of the following statement:
If two integers $a$ and $b$ are such that $a > b$,then $a - b$ is always a positive integer.

Let $p, q, r$ be three statements such that the truth value of $(p \wedge q) \rightarrow (\sim q \vee r)$ is $F$. Then the truth values of $p, q, r$ are respectively:

Which of the following is false?

The Boolean expression $(p \wedge \sim q) \Rightarrow (q \vee \sim p)$ is equivalent to:

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