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JEE Main · 2019 · 11 Jan 2019 · Shift 2 · Mathematical Reasoning *

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Contrapositive of the statement "If two numbers are not equal, then their squares are not equal" is:
  1. (A)If the squares of two numbers are not equal, then the numbers are equal
  2. (B)If the squares of two numbers are equal, then the numbers are not equal
  3. (C)If the squares of two numbers are equal, then the numbers are equal✓ Correct
  4. (D)If the squares of two numbers are not equal, then the numbers are not equal

Answer: (C)

Solution

The contrapositive of is . Here is that the two numbers are not equal and that their squares are not equal. Negating and reversing, the contrapositive reads: if the squares of the two numbers are equal, then the numbers are equal.

JEE Main · 2019 · 11 Jan 2019 · Shift 2 · Single correct option

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