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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।

MathematicsIf (A ∩ B)′ = A′ ∩ B′ holds in a universal set U, what can be said about A and B?Class 10SetsComplement of a Set and Its PropertiesLevel 10Hard MathematicsIf A' ∩ B' = ∅, what is the correct conclusion about A ∪ B?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf U = R, A = (−∞, 3), and B = [1, ∞), what is (A ∩ B)'?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf U = ℝ and A = (2, 7], what is A′?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf A − B = A ∩ B', then (A − B)' is equal to which expression?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf |U| = 100, |A'| = 58, |B'| = 47, and |A ∩ B| = 21, what is the value of |(A ∪ B)'|?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf |U| = 80, |A| = 35, |B| = 40, and |A ∩ B| = 15, what is |(A ∪ B)ᶜ|?Class 10SetsComplement of a Set and Its PropertiesLevel 19Hard MathematicsIf U = {1,2,...,20}, A is the set of even numbers in U, and B is the set of multiples of 5 in U, which set does Aᶜ ∩ Bᶜ represent?Class 10SetsComplement of a Set and Its PropertiesLevel 19Hard MathematicsIf U is the universal set, then (A ∩ B')' is equal to which of the following?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf A ⊆ B ⊆ U, which relation is always true?Class 10SetsComplement of a Set and Its PropertiesLevel 19Hard MathematicsIf U = {x : x ∈ ℤ, −5 ≤ x ≤ 5} and A = {x : x² ≤ 9}, what is A'?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf U = {1, 2, ..., 30}, A is the set of prime numbers and B is the set of multiples of 3, then how many elements are in (A ∪ B)'?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf U = {x : x ∈ N, 1 ≤ x ≤ 30} and A = {x ∈ U : x is divisible by both 2 and 3}, what is n(Aᶜ)?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf U = {1,2,3,4,5,6,7,8,9}, A = {1,2,3,4}, B = {3,4,5,6}, and C = {5,6,7,8}, what is (A ∪ B ∪ C)ᶜ?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf U = {1,2,3,4,5,6,7,8,9,10,11,12}, A = {1,2,3,4,5,6}, and B = {2,4,6,8,10,12}, what is Aᶜ ∩ B?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf U = R and A = {x ∈ R : x ≥ 3}, what is Aᶜ?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf U = {1, 2, 3, …, 16} and A is the set of perfect squares in U, how many elements does Aᶜ contain?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf U = {1, 2, 3, …, 15} and A is the set of perfect squares in U, how many elements are in Aᶜ?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {2, 3, 5, 7}, and B = {1, 4, 6, 8, 9, 10}, which statement is correct for A and B?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf U = {1, 2, 3, 4, 5, 6, 7, 8}, A = {1, 2, 3, 4}, and B = {3, 4, 5, 6}, what is (Aᶜ ∪ B)ᶜ?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium