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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।

MathematicsWhich statement proves that A and A^c together form a partition of U?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf the universal set is U={1,2,3,...,10}, A={2,4,6,8,10}, and C=A^c, what is the value of C^c∩{1,2,3,4}?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf U={1,2,3,...,18} and A={x:x is divisible by both 2 and 5}, what is A^c?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf U = {x : x is a digit} and A = {x : x is a prime digit}, what is n(Aᶜ)?Class 10SetsComplement of a Set and Its PropertiesLevel 20Easy MathematicsWhich of the following statements about the complement of a set, with respect to a universal set, is always true?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIf U={1,2,3,...,12} and A={3,6,9,12}, how many elements are in A^c ∪ {6,12}?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsLet U = {1, 2, 3, 4, 5, 6, 7, 8, 9} and A = {1, 2, 3, 4, 5, 6}. What is (Aᶜ)ᶜ ∩ {3, 6, 9}?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIf A ∪ Aᶜ = U, n(A) = 27, and n(Aᶜ) = 33, what is n(U)?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIf P ∩ Q = ∅ and P ∪ Q = U, then Pᶜ is equal to which set?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsLet U = {a, b, c, d, e, g}, A = {a, d, g}, and B = {b, c, e}. Which statement is correct?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsLet U = {1, 2, 3, 4, 5, 6, 7} and A = {2, 4, 6}. Which set B satisfies Bᶜ = A?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsLet U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 2, 3, 4, 5, 6}, and Aᶜ ⊆ B ⊆ U. Which is the smallest possible set B?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsLet U = {1, 2, 3, ..., 20} and A = {x ∈ U : x is divisible by 4}. What is Aᶜ ∩ {x ∈ U : x is even}?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsLet U = {1, 2, 3, ..., 36} and A = {x ∈ U : x is a perfect square}. What is n(Aᶜ)?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIf n(U) = 96 and n(Aᶜ) = (1/3)n(U), what is the value of n(A)?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIn a survey of 150 people, 85 like tea, 70 like coffee, and 40 like both tea and coffee. How many people like neither tea nor coffee?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf U = {x ∈ ℤ : −6 ≤ x ≤ 6} and A = {x ∈ U : x² = 16}, what is n(Aᶜ)?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsWhich set has a complement equal to the universal set U?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIf U = {1,2,3,…,60} and A = {x ∈ U : 6 divides x}, what is n(Aᶜ)?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIf U = {1,2,3,…,40} and A = {x ∈ U : x is divisible by 4 or 5}, what is n(Aᶜ)?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium