JEE Main 2019MathematicsMathematical ReasoningEasyMCQ

JEE Main 2019 — Mathematical Reasoning Question with Solution

JEE Main 2019 (08 Apr Shift 2)

Question

Which one of the following statements is not a tautology?

Choose an option

Show full solutionCorrect option: A
Correct answer
Ap∨q→p∨(~q)

Step-by-step explanation

Logical Statement p→q is false if and only if p is true and q is false.

So, when p is false, q is true, p∨q→p∨~q will be false.

Clearly p∨q→p∨~q is not a tautology.

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About this question

This is a previous-year question from JEE Main 2019, 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.