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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।

MathematicsA student writes the number \(0.101001000100001\ldots\), in which the number of zeros before each successive 1 keeps increasing. Which statement about this number is correct?Class 9Number SystemsIrrational numbersMedium MathematicsAman called the decimal 0.101001000100001... a rational number because it contains only the digits 0 and 1. What is the error in Aman’s conclusion?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 MathematicsA student writes the number \(0.101001000100001\ldots\), in which the number of zeros between successive 1s keeps increasing. Which statement about this number is correct?Class 9Number SystemsIrrational numbersMedium MathematicsA student calls the number \(0.101001000100001\ldots\) rational because its decimal expansion is infinite. Which conclusion is correct?Class 9Number SystemsIrrational numbersMedium MathematicsIf the area of a square is (50) square units, what will be the simplified form of its side?Class 9Number SystemsIrrational numbersMedium MathematicsA student says that \(0.101001000100001\ldots\) is rational because it contains only the digits 0 and 1. Which is the correct evaluation of this statement?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 says that \(4+\sqrt{3}\) is rational because 4 is rational. What is the error in the student's conclusion?Class 9Number SystemsIrrational numbersMedium MathematicsA student says that \(0.101001000100001\ldots\) is rational because it contains only the digits 0 and 1. What is the correct correction to the student’s error?Class 9Number SystemsIrrational numbersMedium MathematicsWhich of the following statements about irrational numbers is always true?Class 9Number SystemsIrrational numbersMedium MathematicsFor a natural number \(n\), what is the correct criterion for \(\sqrt{n}\) to be irrational?Class 9Number SystemsIrrational numbersMedium MathematicsA student says that the product of a non-zero rational number and an irrational number is always irrational. Which is the best reason why the statement is correct?Class 9Number SystemsIrrational numbersMedium MathematicsIf \((x=\sqrt{7}+3)\), what type of number is \((x-3)\)?Class 9Number SystemsIrrational numbersMedium MathematicsRiya claims that \(0.101001000100001\ldots\) is rational because it contains only the digits 0 and 1. Which statement correctly explains Riya’s error?Class 9Number SystemsIrrational numbersMedium MathematicsRavi claims that \(0.101001000100001\ldots\) is rational because it contains only the digits 0 and 1. What is the correct evaluation of his claim?Class 9Number SystemsIrrational numbersMedium MathematicsWhich option has a rational value?Class 9Number SystemsRational numbersMedium MathematicsRiya says that \(0.1010010001\ldots\) is a rational number because it contains only the digits 0 and 1. What is the correct evaluation of Riya’s statement?Class 9Number SystemsIrrational numbersMedium MathematicsWhich property correctly describes the decimal expansion of an irrational number?Class 9Number SystemsIrrational numbersMedium MathematicsRiya claims that the sum of two irrational numbers is always irrational. Which example proves her claim wrong?Class 9Number SystemsIrrational numbersEasy