JEE Main 2020MathematicsMathematical ReasoningEasyMCQ

JEE Main 2020 — Mathematical Reasoning Question with Solution

JEE Main 2020 (03 Sep Shift 2)

Question

Let p, q, r be three statements such that the truth value of p∧q→~q∨r is F . Then the truth values of p, q, r are respectively :

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Show full solutionCorrect option: A
Correct answer
AT, T, F

Step-by-step explanation

Given that the truth value of p∧q→~q∨r is F .

For the above truth value to be possible, p∧q should be TRUE and ~q∨r should be FALSE.

p∧q is TRUE when p & q both are TRUE.

~q∨r is FALSE when q is TRUE and r is FALSE.

So, the truth values of p, q, r are T, T, F respectively.

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About this question

This is a previous-year question from JEE Main 2020, 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.