Question

Contrapositive of the statement "If two numbers are not equal, then their squares are not equal." is:
1. If the squares of two numbers are not equal, then the numbers are equal.
2. If the squares of two numbers are equal, then the numbers are not equal.
3. If the squares of two numbers are equal, then the numbers are equal.
4. If the squares of two numbers are not equal, then the numbers are not equal.

Answer 1

Correct Answer - Option 3 : If the squares of two numbers are equal, then the numbers are equal.

We know that, contrapositive of

 P → q is ~q → ~p.

Therefore, the contrapositive of the given statement is

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