Question:

Contrapositive of the statement " If two numbers are not equal, then their squares are not equal." is :

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The contrapositive of \( p \to q \) is \( \sim q \to \sim p \).
Updated On: Nov 5, 2026
  • If the squares of two numbers are 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 not equal, then the numbers are equal
  • If the squares of two numbers are not equal, then the numbers are not equal
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The Correct Option is B

Solution and Explanation

Let p: the two numbers are not equal; q: their squares are not equal. The statement is \( p \to q \).
Contrapositive: \( \sim q \to \sim p \).
\( \sim q \): the squares are equal; \( \sim p \): the numbers are equal.
So: If the squares of two numbers are equal, then the numbers are equal.
Answer: (2) If the squares of two numbers are equal, then the numbers are equal
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