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Class 9 Mathematics

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

MathematicsIf \(x\) is an irrational number and \(r\) is a rational number, which of the following will always be irrational?Class 9Number SystemsIrrational numbersHard MathematicsWhich of the following statements is always true, where a rational number may also be zero?Class 9Number SystemsIrrational numbersHard MathematicsLet \(x\) be an irrational number and \(r\) be a rational number. Which of the following statements is always true?Class 9Number SystemsIrrational numbersHard MathematicsLet p and q be rational numbers with q ≠ 0. If a student claims that \(\frac{p+\sqrt{2}}{q}\) is rational, which conclusion would follow from the claim?Class 9Number SystemsIrrational numbersHard MathematicsA student claims that \(\frac{1}{\sqrt{5}+2}\) is a rational number because its numerator is 1. Which is the correct evaluation of this claim?Class 9Number SystemsIrrational numbersHard MathematicsIf \(x\) is an irrational number, which of the following expressions will always be irrational?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 MathematicsLet \(x\) be an irrational number and \(r\) be a rational number. Which of the following expressions must be irrational?Class 9Number SystemsIrrational numbersHard MathematicsA student says that \\(\frac{\sqrt{18}}{\sqrt{2}}\\) is irrational because it is the quotient of two irrational numbers. Which evaluation is correct?Class 9Number SystemsIrrational numbersHard MathematicsIf \(x\) is an irrational number, which of the following statements is not necessarily true?Class 9Number SystemsIrrational numbersHard MathematicsIf \(x\) is an irrational number, which of the following expressions will always be a rational number?Class 9Number SystemsIrrational numbersHard MathematicsA student examines the number \(x=0.101001000100001\ldots\) and draws a conclusion about its type. Which of the following conclusions is correct?Class 9Number SystemsIrrational numbersHard MathematicsIf \(x\) is an irrational number, which of the following numbers will always be irrational?Class 9Number SystemsIrrational numbersHard MathematicsA student says, “The sum of two irrational numbers can never be rational.” Which of the following pairs proves this statement wrong?Class 9Number SystemsIrrational numbersHard MathematicsWhich of the following numbers has a decimal expansion that indicates it is an irrational number?Class 9Number SystemsIrrational numbersMedium MathematicsA student claims that every non-terminating decimal number is irrational. Which of the following numbers is a counterexample to the claim?Class 9Number SystemsIrrational numbersMedium MathematicsA student says that \(0.101001000100001\ldots\) is rational because it contains only the digits 0 and 1. Which conclusion about this statement is correct?Class 9Number SystemsIrrational numbersMedium MathematicsRina says, “The sum of two irrational numbers is always irrational.” What is the correct evaluation of 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 says that every non-terminating decimal is an irrational number. Which of the following examples shows the error in her statement?Class 9Number SystemsIrrational numbersMedium