JEE Main 2022MathematicsMathematical ReasoningLogical StatementeasyMCQ

JEE Main 2022Mathematical Reasoning Question with Solution

From: JEE Main 2022 (Online) 24th June Evening Shift

Question

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

Choose an option

Show full solutionCorrect option: B
Correct answer
B(B) (A C)

Step-by-step explanation

Given statement is

(A C) B

Then its negation is

{(A C) B}

or { (A C) B}

(A C) ( B)

or ( B) (A C)

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About this question

This is a previous-year question from JEE Main 2022, covering the Mathematical Reasoning chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.