jee-main 2022 Q67

jee-main · India · session1_24jun_shift2 Not Maths

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
(1) $B \rightarrow ( A \vee C )$
(2) $( \sim B ) \wedge ( A \wedge C )$
(3) $B \rightarrow ( ( \sim A ) \vee ( \sim C ) )$
(4) $B \rightarrow ( A \wedge C )$

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\\
(1) $B \rightarrow ( A \vee C )$\\
(2) $( \sim B ) \wedge ( A \wedge C )$\\
(3) $B \rightarrow ( ( \sim A ) \vee ( \sim C ) )$\\
(4) $B \rightarrow ( A \wedge C )$

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