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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 U = {1, 2, ..., 49} and A = {x : x ∈ U, x is a perfect square}, how many numbers divisible by 7 are in A′?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIf U = {1, 2, ..., 64} and A = {x : x ∈ U, x = 2^k where k ∈ N₀}, how many numbers divisible by 4 are in A′?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf U = {1, 2, ..., 42}, A is the set of multiples of 3, and B is the set of multiples of 7, what is n((A − B)′)?Class 10SetsComplement of a Set and Its PropertiesLevel 21Hard MathematicsIf U = {1, 2, ..., 27} and A = {x : x ∈ U, 3 divides x}, how many elements divisible by 2 are in A′?Class 10SetsComplement of a Set and Its PropertiesLevel 21Hard MathematicsLet U = {1, 2, ..., 81} and A = {x ∈ U | x is a perfect square}. How many numbers divisible by 9 belong to A′?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsLet U = {1, 2, ..., 54}, A = {x ∈ U : 9 divides x}, and B = {x ∈ U : 6 divides x}. What is n(A′ ∩ B′)?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf U = {1, 2, …, 36}, A = {x ∈ U : 2 divides x}, and B = {x ∈ U : 3 divides x}, what is n(A' ∩ B)?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf U = {1, 2, …, 90}, A = {x ∈ U : 6 divides x}, and B = {x ∈ U : 10 divides x}, what is n((A ∩ B)')?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf U = {1, 2, ..., 36} and A is the set of multiples of 6, how many multiples of 12 are in A′?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsLet U = {1, 2, 3, ..., 16} and A = {x in U : x is divisible by 4}. What is the complement A' with respect to U?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf \(U=\{1,2,\ldots,40\}\), \(A=\{x:x\in U\text{ and }2\mid x\}\), and \(B=\{x:x\in U\text{ and }5\mid x\}\), what is \(n(A'\cap B')\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsLet \(U=\{1,2,\ldots,54\}\), \(A=\{x:x\text{ is divisible by }6\}\), and \(B=\{x:x\text{ is divisible by }9\}\). What is \(|A'\cup B'|\)?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf U = {1, 2, ..., 70}, A = {x : x is divisible by 5}, and B = {x : x is divisible by 7}, what is |A' ∩ B|?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf the universal set is U = {1, 2, ..., 42}, A = {x ∈ U : x is divisible by 3}, and B = {x ∈ U : x is divisible by 7}, what is |A' ∪ B'|?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsLet U = {1, 2, ..., 21} and A = {x : x is divisible by 3}. How many odd elements are there in A′, the complement of A in U?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIf \(U=\{1,2,\ldots,24\}\), \(A=\{x:x\text{ is divisible by }2\}\), \(B=\{x:x\text{ is divisible by }3\}\), and \(C=\{x:x\text{ is divisible by }4\}\), what is \(|(A\cup B\cup C)'|\)?Class 10SetsComplement of a Set and Its PropertiesLevel 20Hard MathematicsIf U = {1,2,…,100} and A = {x : x is not divisible by 7}, what is |A′|?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf U = {1, 2, …, 50}, A = {x : x is divisible by 4}, and B = {x : x is divisible by 6}, what is |A′ ∩ B|?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf U = {1, 2, ..., 30}, A is the set of numbers divisible by 2, and B is the set of numbers divisible by 3, what is |A' ∪ B'|?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf U = {1, 2, ..., 30} and A = {x : x is divisible by 2 or 3}, how many elements are in A'?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium