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Counterexample

Class 9 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsA student claims that the sum of any two irrational numbers is always irrational. Which of the following examples proves the claim wrong?Class 9Number SystemsIrrational numbersHard MathematicsA student claims that the sum of two irrational numbers is always irrational. Which of the following expressions is a counterexample to the claim?Class 9Number SystemsIrrational numbersHard MathematicsA student claims, “The sum of two irrational numbers is always irrational.” Which of the following pairs disproves this claim?Class 9Number SystemsIrrational numbersHard MathematicsReena claims, “The sum of two irrational numbers is always irrational.” Which of the following pairs disproves her claim?Class 9Number SystemsIrrational numbersHard MathematicsReema claims that the product of two irrational numbers is always irrational. Which of the following examples disproves her claim?Class 9Number SystemsIrrational numbersHard MathematicsA student claims that the quotient of any two irrational numbers is always irrational. Which of the following calculations conclusively proves the claim wrong?Class 9Number SystemsIrrational numbersHard MathematicsRiya claims that the product of any two irrational numbers is always irrational. Which of the following pairs is a counterexample to her claim?Class 9Number SystemsIrrational numbersHard MathematicsRiya claims, “The square of every irrational number is also irrational.” Which of the following examples disproves her claim?Class 9Number SystemsIrrational numbersHard MathematicsA student claims that the product of two non-zero irrational numbers is always irrational. Which of the following pairs provides a counterexample to the claim?Class 9Number SystemsIrrational numbersHard MathematicsA student says, “The product of any two irrational numbers is always irrational.” Which is the correct evaluation of the statement?Class 9Number SystemsIrrational numbersHard MathematicsIf \(x\) is an irrational number, which of the following statements is not necessarily true?Class 9Number SystemsIrrational numbersHard MathematicsA student claims that the sum of two irrational numbers is always irrational. Which example shows the error in this claim?Class 9Number SystemsIrrational numbersHard MathematicsRina says, “The sum of two irrational numbers is always irrational.” What is the correct evaluation of her statement?Class 9Number SystemsIrrational numbersMedium MathematicsReena says that the sum of two irrational numbers is always irrational. Which of the following examples correctly shows the error in her statement?Class 9Number SystemsIrrational numbersMedium MathematicsReema says that the sum of two irrational numbers is always irrational. Which of the following examples proves her statement wrong?Class 9Number SystemsIrrational numbersMedium MathematicsReema claims that the sum of two irrational numbers is always irrational. Which of the following examples disproves her claim?Class 9Number SystemsIrrational numbersMedium MathematicsA student says, “The sum of two irrational numbers is always irrational.” Which of the following examples proves this statement wrong?Class 9Number SystemsIrrational numbersMedium MathematicsRiya says, “The sum of two irrational numbers is always irrational.” Which of the following examples proves her statement wrong?Class 9Number SystemsIrrational numbersMedium MathematicsA student claims, “The sum of any two irrational numbers is always irrational.” Which example proves the claim wrong?Class 9Number SystemsIrrational numbersMedium MathematicsA student says that the sum of two irrational numbers is always irrational. Which example proves the statement false?Class 9Number SystemsIrrational numbersMedium