JEE Main 2020 — Mathematical Reasoning Question with Solution
From: JEE Main 2020 (Online) 4th September Evening Slot
Question
Contrapositive of the statement :
‘If a function f is differentiable at a, then it is also continuous at a’, is:
‘If a function f is differentiable at a, then it is also continuous at a’, is:
Choose an option
Show full solutionCorrect option: C
Correct answer
CIf a function f is not continuous at a, then it is not differentiable at a.
Step-by-step explanation
p = function is differentiable at a
q = function is continuous at a
Contrapositive of statements p q is
q p
Contrapositive statement is :
If a function f is not continuous at a, then it is not differentiable at a.
q = function is continuous at a
Contrapositive of statements p q is
q p
Contrapositive statement is :
If a function f is not continuous at a, then it is not differentiable at a.
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Mathematical Reasoning chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →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.