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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 \(U=\{x:x\in\mathbb{Z},-8\le x\le8\}\) and \(A=\{x:x^2-4x\le0\}\), what is \(A'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 20Hard MathematicsIf \(U=\{1,2,\ldots,72\}\), \(A\) is the set of multiples of 4, and \(B\) is the set of multiples of 9, what is \(|(A\cup B)'|\)?Class 10SetsComplement of a Set and Its PropertiesLevel 20Hard MathematicsIf \(U=\mathbb{R}\) and \(A=\{x:-2<x\le6\}\), what is \(A'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf \(U=\{1,2,\ldots,45\}\), \(A\) is the set of numbers divisible by 3, and \(B\) is the set of numbers divisible by 5, what is \(|(A\cap B)'|\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf the universal set is \(U=\mathbb{R}\) and \(A=\{x:x^2-1\ge 0\}\), what is \(A'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf the universal set is \(U=\{1,2,\ldots,36\}\), \(A\) is the set of multiples of 4, and \(B\) is the set of multiples of 9, what is the value of \(|A'\cap B'|\)?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 19Medium MathematicsIf A ∩ B′ = ∅, which conclusion is always true?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf U has 200 students, 120 take Hindi, 90 take English, and 50 take both languages, how many take neither language?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf the universal set is U = ℝ and A = {x : x ≤ −1 or x > 4}, what is A′?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf the universal set is U = {1, 2, …, 12} and A′ = {1, 5, 7, 11}, what is the set A?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf A ⊆ B in a universal set U, which of the following relations is always true?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf A ⊆ U, what are A ∪ A′ and A ∩ A′, respectively?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf U has n elements and A has r elements, how many elements are in A′?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf U = {1, 2, ..., 15}, A = {1, 4, 9}, and B = {2, 4, 6, 8, 10, 12, 14}, how many elements are in (A ∩ B)′?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf the universal set is U = {1, 2, ..., 100} and A = {x ∈ U : x is a perfect square}, what is the value of |A′|?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf U = R, A = (-3, 4], and B = [1, 6), what is A' ∩ B'?Class 10SetsComplement of a Set and Its PropertiesLevel 10Hard MathematicsIf U = R, A = [-2, 5) and B = (0, 7], what is (A ∪ B)'?Class 10SetsComplement of a Set and Its PropertiesLevel 19Hard MathematicsIf U = {1, 2, ..., 16}, A = {1, 2, 4, 8, 16}, and B = {2, 4, 6, 8, 10, 12, 14, 16}, then B - A is equal to:Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf U = {1, 2, ..., 30} and A = {x : x is divisible by 2 or 3}, how many elements are in A'?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium