  #### Contrapositive of the statement ‘If two numbers are not equal, then their squares are not equal’, is : Option 1)  If the squares of two numbers are equal, then the numbers are equal. Option 2) If the squares of two numbers are equal, then the numbers are not equal. Option 3) If the squares of two numbers are not equal, then the numbers are not equal. Option 4) If the squares of two numbers are not equal, then the numbers are equal. As we learnt in

Implications -

Symbol of If p then q is p q or p q

-

Contrapositive of is Thus we get

if the squares of two numbers are equal, then number are equal.

Option 1)

If the squares of two numbers are equal, then the numbers are equal.

Correct

Option 2)

If the squares of two numbers are equal, then the numbers are not equal.

Incorrect

Option 3)

If the squares of two numbers are not equal, then the numbers are not equal.

Incorrect

Option 4)

If the squares of two numbers are not equal, then the numbers are equal.

Incorrect

#### Plabita 