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Which of the following quantified statement is true? -

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Question

Which of the following quantified statement is true?

Options

  • The square of every real number is positive.

  • There exists a real number whose square is negative.

  • There exists a real number whose square is not positive.

  • Every real number is rational.

MCQ

Solution

There exists a real number whose square is not positive.

Explanation:

Option (There exists a real number whose square is not positive) is the correct answer since there exists a real number x = 0, such that x2 = 0. Zero is neither positive nor negative.

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