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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।

MathematicsAssume (\sqrt{2}) is rational and written as (\sqrt{2}=\frac{a}{b}). If (\frac{a}{b}) is in lowest form, what is true about (a) and (b)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Medium MathematicsWhich option correctly states the effect of both (p) and (q) being divisible by (3) in the proof of (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Medium MathematicsWhy are (p) and (q) taken as coprime in all three proofs?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Medium MathematicsIf assuming (\sqrt{3}) rational makes both (p) and (q) divisible by (3), which fact is proved false?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Medium MathematicsIf (\sqrt{2}=\frac{p}{q}) and (p), (q) are coprime, proving both (p) and (q) even contradicts what?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Medium MathematicsIn proving (\sqrt{2}), if (q) is also proved even, what conclusion follows about (p) and (q)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Medium MathematicsIf (p) and (q) are coprime, which of the following situations is impossible?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Medium MathematicsWhat is the role of assuming coprime numbers in the proofs of (\sqrt{2}), (\sqrt{3}), and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Medium MathematicsAssume (\sqrt{3}) is rational and (\sqrt{3}=\frac{a}{b}). If (a) and (b) are coprime, when will a contradiction occur in the proof?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Medium MathematicsIn the proof of (\sqrt{5}), both (p) and (q) are found divisible by (5). This is against what?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Easy MathematicsWhich option shows that (p) and (q) are not coprime?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Easy MathematicsIf both (p) and (q) are divisible by (5), what happens to their being coprime?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Easy MathematicsWhat is the main reason for writing (p) and (q) coprime in the proof of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Easy MathematicsWhich option correctly states the final contradiction in the proof of (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Easy MathematicsIf a fraction is in lowest form, what is true about its numerator and denominator?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Easy MathematicsWhat creates the contradiction in the proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Easy MathematicsIf both (p) and (q) are found even, why can they not be coprime?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Easy MathematicsIn which situation can (\frac{a}{b}) not be called lowest form?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Easy MathematicsWhich option gives the correct result of taking (\frac{a}{b}) in lowest form in the proof of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Easy MathematicsIn the proof of (\sqrt{5}), what does finding both (a) and (b) divisible by (5) show?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Easy