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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।

MathematicsIf (p=3r) and (q=3s) are obtained in the proof of (\sqrt{3}), what is the most appropriate contradiction?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsIn the proof of (\sqrt{2}), after putting (p=2r), which correct simplification is obtained from (p^2=2q^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsIf (\sqrt{5}=\frac{p}{q}) is assumed in lowest form and (p=5k) is obtained in the proof, what is the next important aim?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsIn the proof of (\sqrt{3}), what is the proper basis for writing (p=3k) from (p^2=3q^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsWhile proving the irrationality of (\sqrt{2}), if (\sqrt{2}=\frac{p}{q}) is assumed in lowest form, which reasoning from (p^2=2q^2) is most accurate?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsIf (x=1+\sqrt{2}), what is the value of (x^2-2x)?Class 10Real NumbersIrrational numbersLevel 15Hard MathematicsWhich option correctly describes the nature of (0.15155155515555\ldots)?Class 10Real NumbersIrrational numbersLevel 15Hard MathematicsWhich option is the rationalized form of (\frac{3}{2+\sqrt{5}})?Class 10Real NumbersIrrational numbersLevel 15Hard MathematicsIf (x=\sqrt{3}+2), what will be the value and nature of (x-\sqrt{3})?Class 10Real NumbersIrrational numbersLevel 15Hard MathematicsIf (r) is a non-zero rational number and (x) is an irrational number, which statement about (\frac{x}{r}) is correct?Class 10Real NumbersIrrational numbersLevel 15Hard MathematicsIf (a=\sqrt{3}+2) and (b=\sqrt{3}-2), what is the nature of (ab)?Class 10Real NumbersIrrational numbersLevel 14Hard MathematicsIf (x=\sqrt{5}-2), which statement about (x) is correct?Class 10Real NumbersIrrational numbersLevel 14Hard MathematicsIf (p) is a non-zero rational number and (q) is an irrational number, which statement about (pq) is correct?Class 10Real NumbersIrrational numbersLevel 14Hard MathematicsTwo numbers are (2^a\times 3\times 5^2) and (2^2\times 3^4\times 5^b). If their LCM is (2^5\times 3^4\times 5^3), what is ((a,b))?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Hard MathematicsIf the HCF of two numbers is (1) and their product is (7429), what is their LCM?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Hard MathematicsTwo numbers are (a=2^5\times 3^2\times 5) and (b=2^3\times 3^4\times 5^2). What is the value of (\frac{\text{LCM}}{\text{HCF}})?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Hard MathematicsWhat is the HCF of the three numbers (2^4\times 3^2\times 5), (2^3\times 3^3\times 7), and (2^5\times 3\times 5\times 7)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Hard MathematicsThe HCF of two numbers is (18) and their LCM is (540). If one number is (90), what is the other number?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Hard MathematicsWhy will (8\times27225) not be considered the final answer in prime factorisation?Class 10Real NumbersPrime FactorisationLevel 9Hard MathematicsWhat is the correct prime factorisation of 279936?Class 10Real NumbersPrime FactorisationLevel 9Hard