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Question:

Contrapositive of the statement 'If two numbers are not equal, then their squares are not equal' is

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

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

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

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

Solution:

Given contrapositive of p→q is ¬q→¬p

p → a ≠ b
q → a² ≠ b²
¬q → a² = b²
¬p → a = b
Therefore, Contrapositive a² = b² → a = b.