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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 16HardMathematicsIn the proof of (\sqrt{2}), when both (a) and (b) are proved even, which conclusion is most appropriate?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18MediumMathematicsIf in the proof of (\sqrt{2}=\frac{p}{q}), both (p) and (q) get common factor (2), which initial statement becomes false?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18MediumMathematicsIn the proof of (\sqrt{5}), both (p) and (q) being divisible by (5) exposes what issue?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18MediumMathematicsIn the proof of (\sqrt{2}), if (p=2k) and (q=2r) are obtained, what can be said about (\frac{p}{q})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18MediumMathematicsAssume (\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 18MediumMathematicsIn the proof of (\sqrt{2}), if both (p) and (q) are even, which statement about (\frac{p}{q}) is correct?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17MediumMathematicsWhich 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 17MediumMathematicsIn the proof of (\sqrt{5}), what does taking (\frac{p}{q}) in lowest form mean?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17MediumMathematicsIf assuming (\sqrt{5}) rational proves both (p) and (q) divisible by (5), what does this contradict?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17MediumMathematicsWhy are (p) and (q) taken as coprime in all three proofs?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17MediumMathematicsIf (\sqrt{3}) is assumed rational and written as (\frac{p}{q}), what is the benefit of taking (\frac{p}{q}) in lowest form?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16MediumMathematicsIf in the proof of (\sqrt{5}), both (p) and (q) are proved divisible by (5), what does it mean?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16MediumMathematicsIf (\sqrt{2}) were rational, what conclusion follows if both (p) and (q) are found even in lowest form (\frac{p}{q})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16MediumMathematicsWhat 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 18EasyMathematicsIf a fraction is in lowest form, what is true about its numerator and denominator?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18EasyMathematicsIn which situation can (\frac{a}{b}) not be called lowest form?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17EasyMathematicsWhich 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