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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 A \ B = ∅, which of the following statements must always be true?Class 10SetsComplement of a Set and Its PropertiesLevel 20EasyMathematicsIf U = {1,2,...,20} and A′ = {2,3,5,7,11,13,17,19}, what is the set A?Class 10SetsComplement of a Set and Its PropertiesLevel 20EasyMathematicsLet U = {x ∈ ℕ : x ≤ 32} and A = {x ∈ U : x = 2^k for some k ∈ ℕ₀}. What is n(A′)?Class 10SetsComplement of a Set and Its PropertiesLevel 10EasyMathematicsIf the universal set is U = ℝ, A = (-∞,0) ∪ (4,∞), and B = [-2,6], what is A′ ∩ B?Class 10SetsComplement of a Set and Its PropertiesLevel 20MediumMathematicsIf U = {1,2,...,15}, A = {1,5,9,13}, and B = {2,5,8,11,14}, what is (A ∩ B)′?Class 10SetsComplement of a Set and Its PropertiesLevel 20MediumMathematicsIf A ∪ B = U and A ∩ B = ∅, what is B equal to?Class 10SetsComplement of a Set and Its PropertiesLevel 20MediumMathematicsIf 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 20MediumMathematicsIf U = {1, 2, …, 50} and A = {x ∈ U : x is not even}, what is A'?Class 10SetsComplement of a Set and Its PropertiesLevel 20EasyMathematicsIf the universal set is U = ℝ and A = {x ∈ ℝ : |x − 2| < 5}, what is A'?Class 10SetsComplement of a Set and Its PropertiesLevel 20MediumMathematicsIf U = {1, 2, …, 100} and A = {x ∈ U : 8 divides x}, what is n(A')?Class 10SetsComplement of a Set and Its PropertiesLevel 20EasyMathematicsIf U = {x ∈ ℤ : 0 ≤ x ≤ 20} and A = {x ∈ U : x² − 9x + 20 = 0}, how many elements of A' are less than 5?Class 10SetsComplement of a Set and Its PropertiesLevel 20MediumMathematicsFor subsets A and B of a universal set U, if A ⊆ B, which relation between their complements is correct?Class 10SetsComplement of a Set and Its PropertiesLevel 20MediumMathematicsIf U = {1, 2, …, 12} and A = {1, 4, 7, 10}, what is A' ∩ {2, 4, 6, 8, 10, 12}?Class 10SetsComplement of a Set and Its PropertiesLevel 20EasyMathematicsIf 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 20MediumMathematicsIf the universal set is U = ℝ, A = (−3, ∞), and B = (−∞, 5], what is (A ∩ B)'?Class 10SetsComplement of a Set and Its PropertiesLevel 20MediumMathematicsIf the universal set U = {p, q, r, s, t, u, v}, A' = {q, s, u}, and B = {p, q, t, v}, what is A ∩ B?Class 10SetsComplement of a Set and Its PropertiesLevel 20MediumMathematicsIf U = {x : x ∈ ℕ, x ≤ 40}, A = {x ∈ U : x is even}, and B = {x ∈ U : x is a square number}, what is n(A′ ∩ B′)?Class 10SetsComplement of a Set and Its PropertiesLevel 20EasyMathematicsIf U = {1, 2, ..., 18}, A = {2, 4, 6, 8, 10, 12, 14, 16, 18}, and B = {3, 6, 9, 12, 15, 18}, what is A′ ∪ B′?Class 10SetsComplement of a Set and Its PropertiesLevel 20MediumMathematicsIf the universal set is U = ℝ and A = {x ∈ ℝ : x² − 6x + 8 > 0}, what is A′?Class 10SetsComplement of a Set and Its PropertiesLevel 20MediumMathematicsIf U = {1, 2, ..., 70}, A = {x ∈ U : 2 divides x}, and B = {x ∈ U : 7 divides x}, what is n((A − B)′)?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium