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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) and (q) are coprime, why can (p=5m) and (q=5n) not hold together?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16ExpertMathematicsWhich statement correctly relates perfect squares and irrational square roots?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16ExpertMathematicsAssuming (\sqrt{5}) rational gives (p^2=5q^2). If (p=5r), which simplification is correct?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16ExpertMathematicsIn the proof for (\sqrt{3}), if (p=3r), what is the correct value of (p^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16ExpertMathematicsWhich option gives the correct final sentence for proving the irrationality of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16ExpertMathematicsWhy 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 16ExpertMathematicsIf (2\mid q^2), what conclusion about (q) is taken in the proof for (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16ExpertMathematicsIn the proof of irrationality of (\sqrt{3}), if both (p) and (q) are divisible by (3), what will be said about the fraction?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16ExpertMathematicsWhich statement shows that (\sqrt{2}) cannot be an integer?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16ExpertMathematicsIn the proof of (\sqrt{5}), after proving from (p^2=5q^2) that (p) is divisible by (5), what is the next correct step?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16ExpertMathematicsIf (3\mid p), in which form is it proper to write (p)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16ExpertMathematicsWhich statement would weaken the proof of (\sqrt{2}) the most?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16ExpertMathematicsWhich difference is correct when comparing the proofs of (\sqrt{3}) and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16ExpertMathematicsAfter assuming (\sqrt{2}) rational, (2q^2=p^2) is written. What is the correct use of this equation?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16ExpertMathematicsIf (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 16ExpertMathematicsWhich option is only an incomplete hint for the irrationality of (\sqrt{5}), not a full proof?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16ExpertMathematicsWhy is the condition (q\neq0) necessary in the proof for (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16ExpertMathematicsIf (n) is odd, then (n^2) is odd. In which proof is this fact used directly?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16ExpertMathematicsWhich statement gives the correct contradiction at the end of the proof for (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16ExpertMathematicsIn the irrationality proof of (\sqrt{3}), why is (p^2) divisible by (3) from (p^2=3q^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert

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