JEE Main 2016 — Mathematical Reasoning Question with Solution
From: JEE Main 2016 (Online) 10th April Morning Slot
Question
The contrapositive of the following statement,
“If the side of a square doubles, then its area increases four times”, is :
“If the side of a square doubles, then its area increases four times”, is :
Choose an option
Show full solutionCorrect option: D
Correct answer
DIf the area of a square does not increase four times, then its side is not doubled.
Step-by-step explanation
Contrapositive of p q is q p.
Here,
Let
p = Side of a square is doubles.
q = Area of square increases four times.
q p = If the area of a square does not increase four times, then its side is not doubled.
Here,
Let
p = Side of a square is doubles.
q = Area of square increases four times.
q p = If the area of a square does not increase four times, then its side is not doubled.
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This is a previous-year question from JEE Main 2016, 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.