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MHT CET202411 May 2024Evening ShiftMathematicsMathematical ReasoningActual

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

Correct answer

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

Step-by-step solution

Let p : two numbers are not equal. q : squares of two numbers are not equal. Given statement is p q . Contrapositive is q p . i.e., If squares of two numbers are equal, then the numbers are equal.

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