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Complement Of A Set And Its Properties

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsLet U = {x ∈ ℤ | −4 ≤ x ≤ 6} and A = {x ∈ U | (x − 1)(x + 2) ≥ 0}. What is A′, the complement of A with respect to U?Class 10SetsComplement of a Set and Its PropertiesLevel 10Hard MathematicsIf U={1,2,…,14} and A={2,4,6,8,10,12,14}, how many ordered pairs are in A′×A?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf U = {1,2,...,22} and A = {x ∈ U : x is prime}, how many odd numbers are in A′?Class 10SetsComplement of a Set and Its PropertiesLevel 20Easy MathematicsIf A ⊆ B for sets A and B in a universal set U, which statement about their complements is correct?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf U = ℝ and A = {x ∈ ℝ : x ≤ −1 or x > 3}, what is A′?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium 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 A \ B = ∅, which of the following statements must always be true?Class 10SetsComplement of a Set and Its PropertiesLevel 20Easy MathematicsIf 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 20Easy MathematicsLet 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 10Easy MathematicsIf 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 20Medium MathematicsIf 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 20Medium MathematicsIf A ∪ B = U and A ∩ B = ∅, what is B equal to?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium 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, …, 50} and A = {x ∈ U : x is not even}, what is A'?Class 10SetsComplement of a Set and Its PropertiesLevel 20Easy MathematicsIf the universal set is U = ℝ and A = {x ∈ ℝ : |x − 2| < 5}, what is A'?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf U = {1, 2, …, 100} and A = {x ∈ U : 8 divides x}, what is n(A')?Class 10SetsComplement of a Set and Its PropertiesLevel 20Easy MathematicsIf 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 20Medium MathematicsFor 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 20Medium MathematicsIf 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 20Easy 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