jee-main 2016 Q69

jee-main · India · 09apr Proof Direct Proof of a Stated Identity or Equality

The contrapositive of the following statement, "If the side of a square doubles, then its area increases four times", is:
(1) If the area of a square increases four times, then its side is not doubled.
(2) If the area of a square does not increase four times, then its side is not doubled.
(3) If the area of a square does not increase four times, then its side is doubled.
(4) If the side of a square is not doubled, then its area does not increase four times.

The contrapositive of the following statement, "If the side of a square doubles, then its area increases four times", is:\\
(1) If the area of a square increases four times, then its side is not doubled.\\
(2) If the area of a square does not increase four times, then its side is not doubled.\\
(3) If the area of a square does not increase four times, then its side is doubled.\\
(4) If the side of a square is not doubled, then its area does not increase four times.

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