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Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsAfter reducing (\frac{198}{2^2\cdot 3^2\cdot 5^5\cdot 11}) to lowest form, after how many decimal places will its decimal expansion terminate?Class 10Real NumbersDecimal expansion of rational numbersLevel 20Expert MathematicsAfter reducing (\frac{242}{2^3\cdot 5^4\cdot 11^2}) to lowest form, after how many decimal places will its decimal expansion terminate?Class 10Real NumbersDecimal expansion of rational numbersLevel 19Expert MathematicsIf (q=2^r5^s) and (\frac{p}{q}) is in lowest form, what is the minimum (k) to write the decimal as (\frac{N}{10^k})?Class 10Real NumbersDecimal expansion of rational numbersLevel 19Expert MathematicsWhich option is the lowest fraction form of (0.000625)?Class 10Real NumbersDecimal expansion of rational numbersLevel 19Expert MathematicsWhat type of decimal expansion will (\frac{2^5\cdot 7}{2^8\cdot 5^2\cdot 7^2}) have?Class 10Real NumbersDecimal expansion of rational numbersLevel 19Expert MathematicsWhich statement is correct about (\frac{1}{2^2\cdot 5^2\cdot 9})?Class 10Real NumbersDecimal expansion of rational numbersLevel 19Expert MathematicsIn the decimal expansion of (\frac{1}{2^4\cdot 5^3\cdot 37}), how many non-repeating digits appear before the recurring part?Class 10Real NumbersDecimal expansion of rational numbersLevel 19Expert MathematicsWhat type of decimal expansion will (\frac{14}{2\cdot 5^2\cdot 7^2}) have?Class 10Real NumbersDecimal expansion of rational numbersLevel 19Expert MathematicsIf (\frac{11}{2^6\cdot 5^2}) is written as (\frac{N}{10^6}), what is (N)?Class 10Real NumbersDecimal expansion of rational numbersLevel 19Expert MathematicsIf (\frac{a}{2^3\cdot 3^2\cdot 5^4\cdot 17}) is to have a terminating decimal, what factor must (a) contain at minimum?Class 10Real NumbersDecimal expansion of rational numbersLevel 19Expert MathematicsWhich is the lowest fraction form of (0.00\overline{72})?Class 10Real NumbersDecimal expansion of rational numbersLevel 19Expert MathematicsAfter how many decimal places will (\frac{3^5}{2^2\cdot 3^4\cdot 5^6}) terminate?Class 10Real NumbersDecimal expansion of rational numbersLevel 19Expert MathematicsWhich denominator in a reduced fraction will give exactly (6) decimal places?Class 10Real NumbersDecimal expansion of rational numbersLevel 19Expert MathematicsIf assuming (\sqrt{3}=\frac{p}{q}) gives (p^2=3q^2), what is the main purpose of showing divisibility by (3) for both (p) and (q) in the proof?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsIf (a) is a rational number and (a\neq 0) then which conclusion about (a\sqrt{3}) is correct?Class 10Real NumbersIrrational numbersLevel 15Expert MathematicsWhich option is the simplified form of (\sqrt{2}+\sqrt{8}+\sqrt{32}+\sqrt{128})?Class 10Real NumbersIrrational numbersLevel 14Expert MathematicsIf (x=2+\sqrt{3}), what is the value of (x^2+\frac{1}{x^2})?Class 10Real NumbersIrrational numbersLevel 14Expert MathematicsIf (x=\sqrt{5}+\sqrt{2}) and (y=\sqrt{5}-\sqrt{2}), what is the value of (x^2+y^2)?Class 10Real NumbersIrrational numbersLevel 14Expert MathematicsIf (x=2+\sqrt{3}), what is the value of (x+\frac{1}{x})?Class 10Real NumbersIrrational numbersLevel 13Expert MathematicsIf (x=\frac{1}{\sqrt{6}-\sqrt{5}}), what is (x) equal to?Class 10Real NumbersIrrational numbersLevel 13Expert