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JEE Main201911 Jan 2019Evening 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

Contrapositive of "If A then B^ is "If B then A^ . Hence contrapositive of "If two numbers are not equal, then their squares are not equal" is "If squares of two numbers are equal, then the two numbers are equal".

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