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Rational Numbers

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

MathematicsWhich number can be written in the form \(\frac{p}{q}\), where (p) and (q) are integers and (q\ne0)?Class 9Number SystemsRational numbersLevel 19Expert MathematicsWhich of the following rational numbers will have a terminating decimal expansion?Class 9Number SystemsDecimal representationLevel 19Expert MathematicsWhich option is correct about the sum of a rational and an irrational number?Class 9Number SystemsIrrational numbersLevel 19Expert MathematicsWhich of the following pairs contains two irrational numbers whose sum is rational?Class 9Number SystemsIrrational numbersLevel 19Expert MathematicsHow many decimal places will \(\frac{3}{2^4\times5^2}\) have when converted into decimal?Class 9Number SystemsDecimal representationLevel 19Expert MathematicsSuppose \(x\) is irrational and \(x+y\) is rational. Which conclusion about \(y\) must be true?Class 9Number SystemsIrrational numbersLevel 19Expert MathematicsA student says that the decimal expansion of \(\frac{13}{375}\) terminates because its denominator has a factor of 5. Which correction to the student's error is correct?Class 9Number SystemsDecimal representationLevel 19Expert MathematicsWhat type of decimal expansion does \(\frac{1}{7}\) have?Class 9Number SystemsDecimal representationLevel 19Expert MathematicsWhich number is rational but not an integer?Class 9Number SystemsRational numbersLevel 19Expert MathematicsThe decimal expansion of \(\frac{7}{2^2\times5^3}\) will terminate after how many decimal places?Class 9Number SystemsDecimal representationLevel 19Expert MathematicsWhat type of number is the product of \(\sqrt{2}\) and \(\sqrt{8}\)?Class 9Number SystemsRational numbersLevel 19Expert MathematicsA student says that the decimal expansion of \(\frac{77}{600}\) will terminate because it is a rational number. Which is the correct analysis of the student's error?Class 9Number SystemsDecimal representationLevel 19Expert MathematicsWhich statement is correct about the decimal expansion of \(\frac{13}{40}\)?Class 9Number SystemsDecimal representationLevel 19Expert MathematicsIn a square root spiral, the length of the segment drawn from the origin to an outer vertex is \(\sqrt{n}\). For which type of \(n\) will this length be a rational number?Class 9Number SystemsSquare root spiralLevel 19Hard MathematicsIn a square root spiral, which of the following labelled hypotenuses represents a rational length?Class 9Number SystemsSquare root spiralLevel 19Hard MathematicsIn a square root spiral, which of the following numbers is represented by a line segment of rational length?Class 9Number SystemsSquare root spiralLevel 21Medium MathematicsIf a student assumes that \(\sqrt{2}+\sqrt{3}\) is a rational number \(r\), which conclusion correctly proves a contradiction in this claim?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Expert MathematicsA student assumes that \(3\sqrt{2}\) is a rational number. Which argument correctly shows a contradiction in this assumption?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Expert MathematicsWhich of the following integers has a rational square root?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Expert MathematicsA student believes that for some non-zero rational number \(q\), \(q\sqrt{3}\) can be rational. Which argument correctly refutes this belief?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 65Expert