(C) The contrapositive of a conditional statement $p \to q$ is defined as $\sim q \to \sim p$.Let $p$ be the statement: "The side of a square doubles.

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

If the area of a square does not increase four times,then its side is not doubled.

(C) The contrapositive of a conditional statement $p \to q$ is defined as $\sim q \to \sim p$.Let $p$ be the statement: "The side of a square doubles."Let $q$ be the statement: "Its area increases four times."The contrapositive $\sim q \to \sim p$ is: "If the area of a square does not increase four times,then its side is not doubled."Thus,option $C$ is the correct answer.

Class 11 Mathematics Mathematical Reasoning Mathematical logic

Difficult

The contrapositive of the statement,"If the side of a square doubles,then its area increases four times",is

JEE MAIN 2016 All JEE MAIN

A
If the area of a square increases four times,then its side is not doubled.
B
If the area of a square increases four times,then its side is doubled.
C
If the area of a square does not increase four times,then its side is not doubled.
D
If the side of a square is not doubled,then its area does not increase four times.