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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।

MathematicsWhy is it impossible for both (p) and (q) to be divisible by (5) in the irrationality proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsIf (p) and (q) are coprime and then (2\mid p), (2\mid q) are proved, what type of result is this?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsWhich statement gives the correct contradiction at the end of the proof for (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsIf (x) and (y) are coprime, which situation is impossible?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsWhich statement creates the actual contradiction in the proof for (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsWhen (\sqrt{3}) is assumed rational and written as (\sqrt{3}=\frac{a}{b}), why are (a) and (b) taken coprime?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsWhich option is a wrong conclusion in the proof for (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf both (p) and (q) are divisible by (3), what can be said about (\frac{p}{q})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf (p,q) are coprime in (\sqrt{2}=\frac{p}{q}), what does it indicate when both (p) and (q) turn out even?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf (p) and (q) are coprime, which of the following is impossible?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIn which situation can (\frac{p}{q}) not be called lowest form?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich option correctly states the contradiction in the proof of (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsAfter assuming (\sqrt{2}) rational and writing (p^2=2q^2), which condition must not be forgotten?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhy is it necessary to take (\frac{p}{q}) in lowest form while proving the irrationality of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhy is the assumption (\sqrt{3}=\frac{m}{n}) finally proved wrong when (m,n) are taken coprime?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf (a) and (b) are coprime, which result will immediately give a contradiction?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIf in the proof of (\sqrt{3}), both (p) and (q) turn out divisible by (3), which greatest common divisor condition definitely breaks?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard 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}), both (p) and (q) being even makes which statement false?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Medium MathematicsIn the proof of (\sqrt{3}), if both (p) and (q) are found divisible by (3), what does this contradict?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Medium