Consider the following statements:
$A$ : Rishi is a judge.
$B$ : Rishi is honest.
$C$ : Rishi is not arrogant.
The negation of the statement "if Rishi is a judge and he is not arrogant,then he is honest" is

  • A
    $(A \wedge C) \wedge (\sim B)$
  • B
    $(\sim B) \wedge (A \wedge C)$
  • C
    $B \rightarrow ((\sim A) \vee (\sim C))$
  • D
    $B \rightarrow (A \wedge C)$

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