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Coprime

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

MathematicsIn the proof of (\sqrt{3}), if both (a) and (b) are found divisible by (3), which condition is broken?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Easy MathematicsWhy are (m) and (n) taken as coprime when (\sqrt{5}) is assumed rational and written as (\sqrt{5}=\frac{m}{n})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Easy MathematicsWhen assuming (\sqrt{2}) to be rational, what is the main reason for writing (p) and (q) as coprime?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy MathematicsIf (p) and (q) are both divisible by (5), what conclusion follows?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy MathematicsIf (p) and (q) are both divisible by (3), what conflict occurs with the coprime condition?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy MathematicsIf (p) and (q) are both even, why can they not be coprime?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy MathematicsWhy are (p) and (q) assumed to be coprime in the proof?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy MathematicsIf (p) and (q) are coprime integers and (\sqrt{5}=\frac{p}{q}) is assumed, in what form does the contradiction appear?Class 10Real NumbersIrrational numbersLevel 14Expert MathematicsIf (p) and (q) are coprime positive integers and (\sqrt{3}=\frac{p}{q}) is assumed, what contradiction appears in the proof?Class 10Real NumbersIrrational numbersLevel 15Hard MathematicsIf (\sqrt{2}) is written as (\frac{p}{q}), where (p) and (q) are coprime, what contradiction appears in the proof?Class 10Real NumbersIrrational numbersLevel 14Hard MathematicsIf (a) and (b) are coprime, (a=2^3\times7), and (ab=1736), what is (b)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 12Expert MathematicsIf two numbers are coprime and their product is (1517), what will be their LCM?Class 10Real NumbersHCF and LCM using prime factorisationLevel 12Expert MathematicsIf (a) and (b) are coprime, (a=2^4\times3), and (ab=2496), what is (b)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11Expert MathematicsIf two numbers are coprime and their product is (1147), what will be their LCM?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11Expert MathematicsIf (a) and (b) are coprime, (a=2^3\times5), and (ab=1720), what is (b)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Expert MathematicsIf two numbers are coprime and their product is (899), what will be their LCM?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Expert MathematicsIf two numbers are coprime and their LCM is (667), what will be their product?Class 10Real NumbersHCF and LCM using prime factorisationLevel 13Hard MathematicsIf two numbers are coprime and their product is (437), what will be their LCM?Class 10Real NumbersHCF and LCM using prime factorisationLevel 12Hard MathematicsIf (a) and (b) are coprime, (a=2^2\times5), and (ab=420), what is (b)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11Hard MathematicsIf two numbers are coprime and their LCM is (221), what is their product?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11Hard