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JEE Main2017MathematicsMathematical ReasoningActual

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

Options

  1. AIf the squares of two numbers are equal, then the numbers are not equal
  2. BIf the squares of two numbers are not equal, then the numbers are equal
  3. CIf the squares of two numbers are not equal, then the numbers are not equal
  4. DIf the squares of two numbers are equal, then the numbers are equal

Correct answer

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

Step-by-step solution

p → q Contrapositive is ~   q → ~ p So, answer is (d) - If the squares of two numbers are equal, then the numbers are equal.

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