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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 A = {x ∈ ℤ : −7 ≤ x ≤ 7}, B = {x ∈ ℤ : x² ≤ 16}, and C = {x ∈ ℤ : 3 divides x}, what is (A − B) ∩ C?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Hard MathematicsIf U = {1, 2, ..., 20}, A = {x ∈ U : 2 divides x}, and B = {x ∈ U : 5 divides x}, what is (A ∪ B)'?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf \(A=\{x\in\mathbb{N}:x\le30,\ 2\mid x\}\) and \(B=\{x\in\mathbb{N}:x\le30,\ 3\mid x\}\), what is \(A\cap B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf \(A=\{x\in\mathbb{N}:x\le 15\}\), \(B=\{x\in\mathbb{N}:3\mid x\}\), and \(C=\{x\in\mathbb{N}:5\mid x\}\), where \(\mathbb{N}=\{1,2,3,\ldots\}\), what is \(A\cap(B\cup C)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf A = {x ∈ N : 3 divides x, x ≤ 21} and B = {x ∈ N : 7 divides x, x ≤ 21}, what is A ∪ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf A = {x : x ∈ N, 2 divides x, x ≤ 16} and B = {x : x ∈ N, 4 divides x, x ≤ 16}, what is A \ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16Easy MathematicsU = {1, 2, 3, ..., 90}, A is the set of numbers divisible by 2, B by 3, and C by 5. What is n(A ∩ B ∩ C)?Class 10SetsVenn DiagramsLevel 14Medium MathematicsU = {1, 2, 3, ..., 36}, A = {x : x is divisible by 2}, and B = {x : x is divisible by 3}. What is n(A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14Medium MathematicsLet U = {1, 2, 3, ..., 100}. A is the set of numbers divisible by 2, B the set of numbers divisible by 5, and C the set of numbers divisible by 10. Which relation is correct?Class 10SetsVenn DiagramsLevel 11Medium MathematicsLet \(U=\{1,2,3,\ldots,60\}\), \(A=\{x:x\text{ is divisible by }2\}\), \(B=\{x:x\text{ is divisible by }3\}\), and \(C=\{x:x\text{ is divisible by }5\}\). What is \(n(A\cap B\cap C)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11Medium MathematicsLet U = {1, 2, 3, ..., 30}, and let A be the set of numbers divisible by 2 or 3. What is |A′|?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsLet U = {1,2,3,…,12} and A = {x ∈ U : x is divisible by 4}. What is the complement A′ of A with respect to U?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsLet U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {x ∈ U : x is divisible by neither 2 nor 5}. What is A′, the complement of A in U?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsLet A = {x ∈ N : x divides 18} and B = {1, 2, 3, 6, 9, 18}. Which option is correct?Class 10SetsEqual sets and SubsetsLevel 7Easy MathematicsWhat type of set is {x ∈ ℕ : x is prime and x divides 1}?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 6Easy MathematicsChoose the correct conclusion for the set {x ∈ N : x divides 0}, where N denotes the positive natural numbers.Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 6Medium MathematicsIf A = {x ∈ ℕ : x is divisible by 6} and B = {x ∈ ℕ : 2 divides x and 3 divides x}, which statement is correct?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 5Medium MathematicsIf A = {x ∈ ℕ : x is divisible by 11 and x < 11}, what is A?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 5Easy MathematicsWhat is the nature of A = {x ∈ N : x is divisible by 2 and by 3}?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 3Easy MathematicsIf A = {x ∈ ℤ : x is divisible by 6} and B = {x ∈ ℤ : x is divisible by both 2 and 3}, which statement is correct?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 6Medium