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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 \(U=\{x\in\mathbb{Z}:-3\le x\le 8\}\), \(A=\{x\in U:x+1\ge4\}\), and \(B=\{x\in U:x<6\}\), what is \(A'\cup B'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 10HardMathematicsIf the universal set \(U=\{1,2,\ldots,16\}\), \(A=\{1,2,4,8,16\}\), and \(B=\{3,6,9,12,15\}\), what is the complement of \(A\cup B\) relative to \(U\)?Class 10SetsComplement of a Set and Its PropertiesLevel 10MediumMathematicsIf U = {1, 2, ..., 100}, A = {x ∈ U : 10 divides x}, and B = {x ∈ U : 15 divides x}, what is n(A′ ∪ B′)?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf the universal set U = {a, b, c, d, e, f, g, i}, A = {a, c, f}, and B = {b, c, e, i}, what is the value of (A ∪ B)'?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsLet U = {1, 2, 3, …, 60}. If A = {x ∈ U : 4 divides x} and B = {x ∈ U : 9 divides x}, how many elements are in the complement of A ∪ B with respect to U?Class 10SetsComplement of a Set and Its PropertiesLevel 20MediumMathematicsIf U = {x : x ∈ ℕ, x ≤ 48}, A = {x ∈ U : 4 divides x}, and B = {x ∈ U : 6 divides x}, what is n((A ∪ B)′)?Class 10SetsComplement of a Set and Its PropertiesLevel 19HardMathematicsIf U = {1, 2, ..., 20}, A = {x : x ∈ U and x ≤ 8}, and B = {x : x ∈ U and x ≥ 14}, what is (A ∪ B)′?Class 10SetsComplement of a Set and Its PropertiesLevel 19MediumMathematicsLet A and B be subsets of U with A union B = U. Which statement about A' is always true?Class 10SetsComplement of a Set and Its PropertiesLevel 19HardMathematicsIf U = R, A = (-infinity, 1), and B = (4, infinity), what is (A union B)'?Class 10SetsComplement of a Set and Its PropertiesLevel 19MediumMathematicsWhich option gives the correct form of \((A\cup B)'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19EasyMathematicsIf n(U) = 80, n(A) = 35, n(B) = 42, and n(A ∩ B) = 18, find n((A ∪ B)′).Class 10SetsComplement of a Set and Its PropertiesLevel 19MediumMathematicsLet U = {1, 2, …, 30}, A = {x ∈ U | 2 divides x}, and B = {x ∈ U | 3 divides x}. How many elements are in (A ∪ B)′?Class 10SetsComplement of a Set and Its PropertiesLevel 19MediumMathematicsIn a group of 150 students, 82 study mathematics, 74 study biology, and 36 study both subjects. How many study neither subject?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 21MediumMathematicsIf, with respect to the universal set, \(A'\cup B=B\), which of the following conclusions is correct?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf U = R, A = [-3, 2) and B = (2, 6], what is (A ∪ B)'?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf U = {1, 2, ..., 36}, A = {x ∈ U : x is divisible by 2}, B = {x ∈ U : x is divisible by 3}, and C = {x ∈ U : x is divisible by 6}, what is |(A ∪ B ∪ C)'|?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf U = ℝ, A = (−6, 1] and B = [−2, 5), what is (A ∪ B)′?Class 10SetsComplement of a Set and Its PropertiesLevel 20MediumMathematicsIf U = {1, 2, …, 96}, A = {x : x is divisible by 6}, and B = {x : x is divisible by 8}, what is |(A ∪ B)′|?Class 10SetsComplement of a Set and Its PropertiesLevel 20MediumMathematicsIf U = ℝ, A = (1,4] and B = [4,7), what is (A ∪ B)'?Class 10SetsComplement of a Set and Its PropertiesLevel 10MediumMathematicsIf the universal set is \(U=\{1,2,\ldots,27\}\), \(A=\{x\in U:x\text{ is a multiple of }3\}\), and \(B=\{x\in U:x\text{ is a multiple of }9\}\), how many elements are in \(A'\cup B\)?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium