JEE Main 2022MathematicsMathematical ReasoningEasyMCQ

JEE Main 2022 — Mathematical Reasoning Question with Solution

JEE Main 2022 (24 Jun Shift 2)

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

if Rishi is a judge and he is not arrogant, then he is honest can be written as A∧C→B

Now, Negation of A∧C→B is ~A∧C→B

=~~A∧C∨B {Using De-Morgan's law}

=A∧C∧~B

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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.