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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।

MathematicsIn the proof of (\sqrt{5}), if (\frac{p}{q}) is in lowest form, which statement is correct when (p=5k) and (q=5r) are obtained?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16HardMathematicsWhich statement deeply explains the role of squaring in the proofs of (\sqrt{2}), (\sqrt{3}), and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16HardMathematicsIn the proof of irrationality of (\sqrt{3}), which statement should come just before the final conclusion?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16HardMathematicsIf someone writes (p=5q) from (p^2=5q^2) in the proof of (\sqrt{5}), what type of error is it?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16HardMathematicsWhich option tells the role of assuming (\frac{p}{q}) in lowest form in the proof of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16HardMathematicsIn the proof of (\sqrt{3}), if (p) is divisible by (3) from (p^2=3q^2), what type of number is (k) in (p=3k)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16HardMathematicsWhich option correctly identifies the proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16HardMathematicsWhich statement is true but given with a wrong reason in the proof of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16HardMathematicsIf (\sqrt{3}) is assumed rational and (\frac{p}{q}) is in lowest form, what conclusion follows when both (p) and (q) are found divisible by (3)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16HardMathematicsWhich option gives a result against (\gcd(p,q)=1) in the proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16HardMathematicsIn the proof of (\sqrt{2}), if (p=2k) and (q=2r), how can (\frac{p}{q}) be reduced?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16HardMathematicsIf 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 16HardMathematicsIn the proof of (\sqrt{5}), after getting (p^2=5q^2), which conclusion cannot be drawn immediately?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16HardMathematicsWhich statement shows a logical weakness in the proof of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16HardMathematicsWhich option shows the common deeper idea in the proofs of (\sqrt{3}) and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16HardMathematicsIf assuming (\sqrt{2}) rational finally makes (\frac{p}{q}) not remain in lowest form, what is the correct conclusion?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16HardMathematicsIn the proof of (\sqrt{5}), (q) is divisible by (5) from (q^2=5k^2). Which condition is necessary for this conclusion?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16HardMathematicsWhich statement correctly describes the difference between the proofs of (\sqrt{2}) and (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16HardMathematicsWhich option gives a correct and complete reasoning in the proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16HardMathematicsIf in the proof of (\sqrt{3}), both (p) and (q) are found divisible by (3), which statement about (\frac{p}{q}) is correct?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard