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

MathematicsA student says that 2, 4, 6, 8 is not a sequence because it has only four terms. Which option is correct about this statement?Class 9Sequences and ProgressionsSequencesLevel 45Easy MathematicsRima says that \(7x^{-1}+3\) is a polynomial because it contains only \(x\) and numbers. What is the error in her statement?Class 9Introduction to PolynomialsAlgebraic expressionsLevel 23Expert MathematicsReema says that \(\sqrt{3}\) is rational because 3 is a rational number. What is her error?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Medium MathematicsA student says, “1.732 is a terminating decimal and is very close to \(\sqrt{3}\), so \(\sqrt{3}\) is rational.” What is the main error in the argument?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy MathematicsRiya says, “Since 2 is an integer, \(\sqrt{2}\) must also be a rational number.” What is Riya’s error?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy MathematicsRima says that if the decimal expansion of a number is infinite but non-repeating, then the number is rational. What is the error in Rima's statement?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsA calculator displays \(\sqrt{3}\) as 1.732. Mohan concludes that \(\sqrt{3}\) is rational. What is Mohan’s error?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy MathematicsA student sees \(\sqrt{3}\) displayed as 1.732 on a calculator and claims that \(\sqrt{3}\) is rational because the decimal ends. Which statement correctly identifies the error?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy MathematicsA student says that every non-terminating decimal number is irrational. Which of the following numbers shows the error in this statement?Class 9Number SystemsIrrational numbersLevel 15Hard MathematicsRiya says that the number \(0.101001000100001\ldots\) is rational because it contains only the digits 0 and 1, and the number of zeros between successive 1s keeps increasing by one. What is the correct evaluation of Riya's statement?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsMeena says that every non-terminating decimal is irrational. Which example proves her statement wrong?Class 9Number SystemsIrrational numbersLevel 17Easy MathematicsA student says that \(0.272727\ldots\) is irrational because its decimal expansion does not end. Which correction is correct?Class 9Number SystemsIrrational numbersLevel 16Easy MathematicsA student says that \(0.272727\ldots\) is an irrational number because its decimal expansion does not end. Which statement is correct?Class 9Number SystemsDecimal representationLevel 12Hard MathematicsRavi says that a decimal expansion in which digits repeat must be irrational. Which example proves his statement wrong?Class 9Number SystemsDecimal representationLevel 15Easy MathematicsA student writes these conditions for a point P on the number line: \(P^2=2\) and \(1<P<2\). The student claims that P must be rational because it lies between 1 and 2. Which statement correctly identifies the error?Class 9Number SystemsNumber lineLevel 8Expert 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 0.125 is an irrational number because it has decimal digits. What is the error in the student's statement?Class 9Number SystemsReal NumbersLevel 5Easy