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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 option is an example of rational numbers?Class 9Number SystemsRational numbersLevel 3Hard MathematicsA student says, “Every number with a non-terminating decimal expansion is irrational.” Which of the following examples disproves the student's statement?Class 9Number SystemsReal NumbersLevel 3Hard MathematicsWhich number has a terminating decimal expansion?Class 9Number SystemsDecimal representationLevel 3Hard MathematicsIf (a) is rational and (b) is irrational then (a+b) is generally?Class 9Number SystemsIrrational numbersLevel 3Hard MathematicsWhich is the smallest set containing (-4)?Class 9Number SystemsReal NumbersLevel 3Hard MathematicsWhich number is not rational?Class 9Number SystemsIrrational numbersLevel 3Hard MathematicsIf (x=0.454545\ldots) then (x) isClass 9Number SystemsDecimal representationLevel 3Hard MathematicsWhich statement is false?Class 9Number SystemsReal NumbersLevel 3Hard MathematicsWhich decimal expansion represents a rational number?Class 9Number SystemsDecimal representationLevel 3Hard Mathematics(1-\sqrt{3}) is what type of number?Class 9Number SystemsIrrational numbersLevel 3Hard MathematicsA student says that if the decimal expansion of a number is non-terminating, then the number must be irrational. Which example disproves this statement?Class 9Number SystemsReal NumbersLevel 3Hard Mathematics(0.272727\ldots) is what type of number?Class 9Number SystemsRational numbersLevel 3Hard MathematicsA student says that if the decimal expansion of a number is non-terminating and non-repeating, then the number is irrational. What is the correct analysis of this statement?Class 9Number SystemsReal NumbersLevel 3Hard MathematicsWhich of the following statements about rational and irrational numbers is correct?Class 9Number SystemsReal NumbersLevel 2Hard MathematicsIf \(x\) is an irrational number and \(r\) is a rational number, which of the following statements is always true?Class 9Number SystemsReal NumbersLevel 2Hard MathematicsWhat type of decimal expansion will the simplified form of rac{126}{224} have?Class 9Number SystemsDecimal representationLevel 2Hard MathematicsWhat is the decimal expansion of the simplified fraction \(\frac{35}{154}\)?Class 9Number SystemsDecimal representationLevel 2Medium MathematicsIf \(p/q\) is a rational number, where \(p\) and \(q\) are coprime integers and \(q>0\), which statement about its decimal expansion is correct?Class 9Number SystemsReal NumbersLevel 2Hard MathematicsA student claims that the sum of any two irrational numbers is always irrational. Which of the following pairs is a counterexample to this claim?Class 9Number SystemsReal NumbersLevel 2Hard MathematicsA student says that \(0.101001000100001\ldots\) is a rational number because it contains only the digits 0 and 1. Which is the correct evaluation of the student's statement?Class 9Number SystemsReal NumbersLevel 2Hard