The contrapositive of the statement "If it is raining, then I will not come", is

  • [JEE MAIN 2015]
  • A

    If I will not come, then it is raining.

  • B

    If I will not come, then it is not raining.

  • C

    If I will come, then it is raining.

  • D

    If I will come, then it is not raining.

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Let $p$ and $q$ denote the following statements
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The negation of the statement $(p \vee q)^{\wedge}(q \vee(\sim r))$ is

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If the Boolean expression $( p \wedge q ) \circledast( p \otimes q )$ is a tautology, then $\circledast$ and $\otimes$ are respectively given by

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Among the two statements

$(S1):$ $( p \Rightarrow q ) \wedge( q \wedge(\sim q ))$ is a contradiction and

$( S 2):( p \wedge q ) \vee((\sim p ) \wedge q ) \vee$

$( p \wedge(\sim q )) \vee((\sim p ) \wedge(\sim q ))$ is a tautology

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Which of the following is not a statement