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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 \(U=\{1,2,\ldots,35\}\), \(A=\{x\in U:5\mid x\}\), and \(B=\{x\in U:x\text{ is odd}\}\), what is \(B'\cap A\)?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf the universal set is \(U=\mathbb{R}\), \(A=\{x\in\mathbb{R}:x\ne 0\}\), and \(B=\{x\in\mathbb{R}:x\ne 1\}\), what is \(A'\cup B'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf U = {x : x ∈ Z, −9 ≤ x ≤ 9} and A = {x : x ∈ U, |x| > 4}, what is A′?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf U = {1, 2, ..., 50} and A = {x : x ∈ U, the last digit of x is 2 or 7}, what is n(A′)?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf A ⊆ U, what is (A′ ∩ A)′ equal to?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf U = {1, 2, ..., 24}, A is the set of odd numbers in U, and B is the set of prime numbers in U, what is A ∩ B′?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf U = R, A = [−7, −1), and B = (−3, 5], what is (A ∩ B)′?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf U = {1, 2, ..., 100}, A = {x ∈ U : 10 divides x}, and B = {x ∈ U : 15 divides x}, what is n(A′ ∪ B′)?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf U = {1, 2, ..., 18}, A = {2, 4, 6, 8, 10, 12, 14, 16, 18}, and B = {1, 2, 3, 5, 8, 13}, what is A′ ∩ B′?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf U = {1, 2, ..., 64} and A = {x : x ∈ U, x = 2^k where k ∈ N₀}, how many numbers divisible by 4 are in A′?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf U = R and A = {x ∈ R : x² + 2x − 8 < 0}, what is A′?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf A ∪ B′ = U, which of the following statements must be true?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf U = {1, 2, ..., 20}, A = {x ∈ U : x ≤ 12}, and B = {x ∈ U : x is odd}, what is A' ∩ B?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf n(U) = 300, n(A') = 120, n(B') = 150, and n(A' ∪ B') = 210, what is n(A ∪ B)?Class 10SetsComplement of a Set and Its PropertiesLevel 21Hard MathematicsIf U = {x ∈ Z : -5 ≤ x ≤ 15} and A = {x ∈ U : x ≡ 2 (mod 5)}, what is n(A')?Class 10SetsComplement of a Set and Its PropertiesLevel 21Hard MathematicsIf U = {1, 2, ..., 36} and A = {x : x ∈ U and x is not prime}, how many elements are in A'?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf U = ℝ, A = (-2, 6], and B = [0, 9), what is A' ∪ B'?Class 10SetsComplement of a Set and Its PropertiesLevel 21Hard MathematicsIf U = {1, 2, ..., 72}, A = {x ∈ U : 4 divides x}, B = {x ∈ U : 6 divides x}, and C = {x ∈ U : 9 divides x}, what is n((A ∪ B ∪ C)')?Class 10SetsComplement of a Set and Its PropertiesLevel 21Hard MathematicsIf A ∩ B = A ∩ B', which conclusion must be true?Class 10SetsComplement of a Set and Its PropertiesLevel 21Hard MathematicsLet U = {1, 2, ..., 30}, A = {x : x ∈ U and x is a perfect square}, and B = {x : x ∈ U and x is even}. What is A' ∩ B?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium