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Divisibility

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhat type of set is A = {x : x is a natural number divisible by 3}?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 5Easy MathematicsIf A = {x : x is a factor of 6}, which set is A?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 5Easy MathematicsWhich statement is not correct in the proof for (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsIf (3\mid p), in which form is it proper to write (p)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsIn 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 MathematicsWhich option gives the correct basis for writing (p=3r) in the proof for (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsAfter assuming (\sqrt{3}=\frac{p}{q}) and squaring, (p^2=3q^2) is obtained. What is the correct conclusion about (p)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsIf (5\mid x^2), why is (5\mid x) concluded?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsWhich option is the roster form of I = {x ∈ N : 50 < x < 70 and x is divisible by 5}?Class 10SetsSets and their representationsLevel 2Easy MathematicsFor Y = {x ∈ N : x ≤ 30 and x is divisible by neither 2 nor 3}, which elements from 1 to 10 belong to Y?Class 10SetsSets and their representationsLevel 2Medium MathematicsWhich statement gives the final conclusion about (q) in the proof for (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich property in the proof of (\sqrt{2}) is directly connected with (2) being prime?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf (p^2=3q^2) in the proof for (\sqrt{3}), in what form should (p) be correctly written?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf (a^2) is divisible by (5), what conclusion about (a) is correct in the proof for (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf (\sqrt{5}=\frac{a}{b}) and (a,b) are coprime, what is the first correct conclusion from (a^2=5b^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf M = {x : x ∈ N, x ≤ 50, and x is divisible by both 3 and 5}, then M is:Class 10SetsSets and their representationsLevel 2Easy MathematicsIf G = {x : x ∈ N, x is a divisor of 18 and x + 1 is prime}, choose the correct roster form of G.Class 10SetsSets and their representationsLevel 2Medium MathematicsIf A = {x : x ∈ ℕ, x ≤ 25, x is divisible by 4 but not divisible by 8}, which is the correct roster form of A?Class 10SetsSets and their representationsLevel 2Medium MathematicsWhich option correctly gives W = {x : x is a natural number from 1 to 50, divisible by 5 but not by 10}?Class 10SetsSets and their representationsLevel 2Medium MathematicsIf F = {x : x ∈ ℕ, x² < 50, and x is divisible by 3}, what is F?Class 10SetsSets and their representationsLevel 1Medium