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

  • Option 1)

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

  • Option 2)

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

  • Option 3)

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

  • Option 4)

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

 

Answers (1)

As we learnt in 

Implications -

Symbol of If p then q is p \rightarrowq or p \Rightarrowq

-

 

 If statement is p\rightarrow q

contrapositive is \sim q\rightarrow \sim p

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


Option 1)

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

Incorrect

Option 2)

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

Incorrect

Option 3)

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

Incorrect

Option 4)

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

Correct

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