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Universal Set

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 \(U=\mathbb{R}\), \(A=\{x\in\mathbb{R}:x\ne 0\}\), and \(B=\{x\in\mathbb{R}:x\ne 1\}\), what is \(A'\cup B'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf A ⊆ U, what is (A′ ∩ A)′ equal to?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 10Easy 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 MathematicsIf U = {1,2,...,20} and A′ = {2,3,5,7,11,13,17,19}, what is the set A?Class 10SetsComplement of a Set and Its PropertiesLevel 20Easy MathematicsIf U = {1,2,...,15}, A = {1,5,9,13}, and B = {2,5,8,11,14}, what is (A ∩ B)′?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf U = {1, 2, …, 100} and A = {x ∈ U : 8 divides x}, what is n(A')?Class 10SetsComplement of a Set and Its PropertiesLevel 20Easy MathematicsIf, with respect to a universal set, a set A satisfies A = A′, which statement about A is correct?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf U = {a, b, c, d, e, g, h} and A = {a, e, h}, what is A′?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf U = {1, 2, ..., 12} and A = {1, 2, 3, 4, 5}, what is A' union A?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsWhich statement is false for the complement of A?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf \(U=\{x\in\mathbb{Z}\mid -3\le x\le 7\}\) and \(A=\{x\in U\mid x+2>4\}\), what is \(A'\), the complement of \(A\) in \(U\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf the universal set is \(U=\{1,2,\ldots,24\}\), \(A=\{x:x\in U\text{ and }x\text{ is even}\}\), and \(B=\{x:x\in U\text{ and }x\text{ is odd}\}\), what is the relation between \(A'\) and \(B\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsFor subsets \(A\) and \(B\) of a universal set \(U\), which of the following statements is always true?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf the universal set is \(U=\{1,2,\ldots,10\}\) and \(A=\{1,3,5,7,9\}\), what is \((A')'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf \(A\cup A'=U\) and \(A\cap A'=\varnothing\), what is the correct meaning of \(A'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf the universal set is \(U=\{1,2,\ldots,12\}\), \(A=\{2,4,6,8,10,12\}\), and \(B=\{3,6,9,12\}\), what is the complement of \(A-B\) with respect to \(U\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsFor a universal set \(U\), suppose that a set \(A\) is equal to its own complement, \(A=A'\). Which statement about \(U\) must be true?Class 10SetsComplement of a Set and Its PropertiesLevel 19Hard MathematicsLet \(U=\{1,2,3,\ldots,20\}\) and \(A=\{x:x\in U\text{ and }x\text{ is prime}\}\). What is \(A'\), the complement of \(A\) with respect to \(U\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsLet \(U=\{1,2,\ldots,60\}\), \(A=\{x\in U:x\text{ is a multiple of }6\}\), and \(B=\{x\in U:x\text{ is a multiple of }18\}\). Then \(A'\cap B'\) is equal to which of the following?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium