JEE Main 2020MathematicsMathematical ReasoningMediumMCQ

JEE Main 2020Mathematical Reasoning Question with Solution

JEE Main 2020 (02 Sep Shift 2)

Question

Which of the following is a tautology?

Choose an option

Show full solutionCorrect option: A
Correct answer
A~ppqq

Step-by-step explanation

A ~ppqq

~pp~pqq

c~pqq   (where c is contradiction)

~pqq

~~pqq

=p~qq=pt=t

 C ~qpqq

=~qp~qqq

=~qpq

=q~pq=q =q

B and D 

p q pq qp ~pq (pq)(qp) (qp)~(pq)
T T T T F T T
T F F T T F T
F T T F F F F
F F T T T T T

 

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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.