Mathematical Reasoning: Consider the following statements: A : Rishi is a judge. B : Rishi… | JEE Main 2022

JEE Main 2022 (Online) 24th June Evening ShiftQuestion 1

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

Mathematical Reasoning

$B\to(A\vee C)$$(\sim B)\wedge(A\wedge C)$✓ Correct answer$B\to((\sim A)\vee(\sim C))$$B\to(A\wedge C)$

Solution

Negation of $(A\wedge C)\Rightarrow B$ is $(A\wedge C)\wedge\sim B$.

Mathematical Reasoning - JEE Mathematics question (JEE Main 2022 (Online) 24th June Evening Shift)

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