JEE Main 2016 · 10 Apr · Shift 1 · Mathematics Q90

MathematicsSingle correct+4 / -1Question 90 of 90

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 is not doubled, then its area does not increase four times.

If the area of a square increases four times, then its side is doubled.

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

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

Answer and worked solution

Official answer: D

The contrapositive of "if p then q" is "if not q then not p": if the area does not increase four times, then the side is not doubled.

JEE Main 2016 · 10 Apr · Shift 1, Mathematics question 90