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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 the universal set is U = R and A = {x ∈ R : |x + 1| ≥ 4}, what is A'?Class 10SetsComplement of a Set and Its PropertiesLevel 21Hard MathematicsIf 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 21Medium MathematicsIf U = {1, 2, ..., 40}, A is the set of multiples of 5, and B is the set of multiples of 8, what is n((A ∩ B)′)?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf U = {1, 2, ..., 42}, A is the set of multiples of 3, and B is the set of multiples of 7, what is n((A − B)′)?Class 10SetsComplement of a Set and Its PropertiesLevel 21Hard MathematicsIf A ⊆ B ⊆ C ⊆ U, which relation is always true?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf U = ℝ and A = (−∞, −5) ∪ [1, 4] ∪ (9, ∞), what is A′?Class 10SetsComplement of a Set and Its PropertiesLevel 21Hard MathematicsIf U = {x : x ∈ ℤ, −12 ≤ x ≤ 12} and A = {x : x ∈ U, x² − 9x + 18 ≤ 0}, what is n(A′)?Class 10SetsComplement of a Set and Its PropertiesLevel 21Hard MathematicsIf U = {x : x ∈ ℕ, x ≤ 96}, A = {x : x ∈ U, 8 divides x}, and B = {x : x ∈ U, 12 divides x}, what is n(A′ ∩ B′)?Class 10SetsComplement of a Set and Its PropertiesLevel 21Hard MathematicsIf U = {x : x ∈ ℕ, x ≤ 84}, A = {x : x ∈ U, 6 divides x}, and B = {x : x ∈ U, 14 divides x}, what is n(A′ ∩ B′)?Class 10SetsComplement of a Set and Its PropertiesLevel 20Hard MathematicsWhich of the following statements about the complements of two sets, relative to a universal set, is always true?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf U = {1, 2, ..., 27} and A = {x : x ∈ U, 3 divides x}, how many elements divisible by 2 are in A′?Class 10SetsComplement of a Set and Its PropertiesLevel 21Hard MathematicsIf U = ℝ and A = {x ∈ ℝ : x ≠ −2 and x ≠ 5}, what is A′?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf U = {1, 2, ..., 24}, A = {x ∈ U | 4 divides x}, and B = {x ∈ U | 8 divides x}, what is B′ ∩ A?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf A⊆U, what is (A′∪A)′ equal to?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsLet U = {x ∈ ℤ | 1 ≤ x ≤ 30} and A = {x ∈ U | x ≡ 1 (mod 4)}. What is n(A′), the number of elements in the complement of A with respect to U?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf U={1,2,…,18} and A is the set of primes in U, which set of multiples of 3 lies in A′?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsLet U = {1, 2, ..., 81} and A = {x ∈ U | x is a perfect square}. How many numbers divisible by 9 belong to A′?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf U=R, A=[1,∞), and B=(−∞,4), what is A′∪B′?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf the universal set U = {1, 2, 3, ..., 10}, A = {1, 2, 3}, and B = {3, 4, 5}, what is (A′ ∩ B)′, where complements are taken with respect to U?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsFor a universal set U, if n(U)=200, n(A′)=76, n(B′)=89, and n(A′∩B′)=31, what is n((A∩B)′)?Class 10SetsComplement of a Set and Its PropertiesLevel 10Hard