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Real Numbers

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

MathematicsWhich smallest number should be multiplied by (2^3\times3^2\times5) to get a perfect square?Class 10Real NumbersPrime FactorisationExpertMathematicsIf (a=2^r\times3^2) has (15) positive factors, what is the value of (r)?Class 10Real NumbersPrime FactorisationExpertMathematicsIf (n=2^5\times3^4\times7), how many factors of (n) are not divisible by (6)?Class 10Real NumbersPrime FactorisationExpertMathematicsIf (m=2^3\times3^2\times5^2), how many factors of (m) are divisible by (10)?Class 10Real NumbersPrime FactorisationExpertMathematicsWhich option gives the correct prime factorisation of (756)?Class 10Real NumbersPrime FactorisationExpertMathematicsIf the HCF of two numbers is (2^2\times3) and their LCM is (2^5\times3^3\times5), what is the prime factorised form of their product?Class 10Real NumbersPrime FactorisationExpertMathematicsIf (y=2^4\times3^5\times11^2), by what smallest number should (y) be divided to make it a perfect cube?Class 10Real NumbersPrime FactorisationExpertMathematicsIf (x=2^2\times3^3\times5), what is the smallest multiplier that makes (x) a perfect square?Class 10Real NumbersPrime FactorisationExpertMathematicsIf a number has prime factorisation (2^9\times3^6\times7^3), what is its cube root?Class 10Real NumbersPrime FactorisationExpertMathematicsIf a number has prime factorisation (2^6\times3^4\times5^2), what is its square root?Class 10Real NumbersPrime FactorisationExpertMathematicsWhich statement correctly describes the uniqueness of prime factorisation?Class 10Real NumbersPrime FactorisationExpertMathematicsIf the product of two coprime numbers is (2^4\times3^2\times5), what is their HCF?Class 10Real NumbersPrime FactorisationExpertMathematicsIf (360=2^3\times3^2\times5), how many factors of (360) are odd?Class 10Real NumbersPrime FactorisationExpertMathematicsIf (2520=2^3\times3^2\times5\times7), how many positive factors of (2520) are divisible by (2)?Class 10Real NumbersPrime FactorisationExpertMathematicsIf a number has prime factorisation (2^a\times3^2\times5) and it has (24) total factors, what is the value of (a)?Class 10Real NumbersPrime FactorisationExpertMathematicsWhich number has the prime factorisation (2^2\times3\times7^2)?Class 10Real NumbersPrime FactorisationExpertMathematicsIf (a=2^4\times3\times5^2) and (b=2^2\times3^3\times5), what is the value of (\frac{\operatorname{LCM}(a,b)}{\operatorname{HCF}(a,b)})?Class 10Real NumbersPrime FactorisationExpertMathematicsIf two numbers have prime factorisations (2^3\times5^2) and (2\times3^2\times5), what is their LCM?Class 10Real NumbersPrime FactorisationExpertMathematicsIf two numbers have prime factorisations (2^3\times3^2\times5) and (2^2\times3^4\times7), what is their HCF?Class 10Real NumbersPrime FactorisationExpertMathematicsWhat is the smallest number by which (2^5\times3^2\times7) should be multiplied to make it a perfect cube?Class 10Real NumbersPrime FactorisationExpert

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