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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।

MathematicsIf E₃ = {x ∈ ℕ : x < 20 and x is divisible by 2 or 5}, then what is E₃?Class 10SetsSets and their representationsLevel 1Medium MathematicsIf C₂ = {x ∈ ℕ : x is divisible by both 2 and 3 and x ≤ 18}, then what is C₂?Class 10SetsSets and their representationsLevel 1Easy MathematicsIf K = {x ∈ ℕ : x divides 12 exactly}, which is the roster form of K?Class 10SetsSets and their representationsLevel 1Easy MathematicsIf O₁ = {x : x ∈ ℕ, x ≤ 50, and x is divisible by both 4 and 6}, what is the roster form of O₁?Class 10SetsSets and their representationsLevel 3Easy MathematicsIf I₁ = {x : x ∈ ℤ, x/2 ∈ ℤ, −5 < x < 5}, what is I₁?Class 10SetsSets and their representationsLevel 3Medium MathematicsIf L = {x : x ∈ ℕ, x ≤ 20, x is not divisible by 2 but is divisible by 3}, what is the roster form of L?Class 10SetsSets and their representationsLevel 3Medium MathematicsWhich is the roster form of Y₁ = {x : x is an integer from 1 to 20 and x is divisible by neither 2 nor 3}?Class 10SetsSets and their representationsLevel 2Medium MathematicsWhat is the roster form of K₁ = {x : x ∈ ℕ, x is divisible by 7, and 30 < x < 60}?Class 10SetsSets and their representationsLevel 2Easy MathematicsIf (\sqrt{5}=\frac{m}{n}) and (m^2=5n^2), what is the first correct conclusion about (m^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Medium MathematicsWhere is the fact that (5) is prime used in the proof of irrationality of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Medium MathematicsIn the proof of (\sqrt{3}), after putting (p=3k), (9k^2=3q^2) is obtained. What is the correct form of (q^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Medium MathematicsIf (\sqrt{5}=\frac{p}{q}) is assumed in lowest form and (p^2=5q^2) is obtained, in which form should (p) be written?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Medium MathematicsIn the proof of (\sqrt{5}), if (q^2=5k^2) is obtained, what is the next correct conclusion?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Easy MathematicsIf (p^2=3q^2), by what is (p^2) divisible?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Easy MathematicsIf (p^2) is divisible by (2), what is the correct conclusion about (p)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Easy MathematicsIf (a^2=5b^2), in which form can (a) be written?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Easy MathematicsIf (a^2=2b^2), by which number is (a^2) definitely divisible?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Easy MathematicsIn which proof are both (p) and (q) found divisible by (5)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy MathematicsIn which proof are both (p) and (q) found divisible by (3)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy MathematicsWhat is the smallest number exactly divisible by (121), (144), and (250)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 12Expert