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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।

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 10EasyMathematicsLet 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 10EasyMathematicsLet 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 10MediumMathematicsIf 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 10EasyMathematicsWhich set has a complement equal to the universal set U?Class 10SetsComplement of a Set and Its PropertiesLevel 10EasyMathematicsIf U = {1,2,3,4,5,6,7,8,9}, A = {2,3,5,7}, and B = {1,2,3,4,5}, what is the complement of B − A with respect to U?Class 10SetsComplement of a Set and Its PropertiesLevel 10MediumMathematicsIf the universal set is \(U=\{1,2,3,4,5,6,7,8\}\), \(A=\{1,2,3,4\}\), and \(B=\{5,6,7,8\}\), what is \((A\cup B)^c\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19EasyMathematicsIf the universal set is \(U=\{1,2,3,4,5,6,7,8,9,10\}\), \(A=\{1,3,5,7,9\}\), and \(B=A^c\), what is the value of \(A\cup B\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19EasyMathematicsWhich of the following is the correct De Morgan’s law for complements of two sets with respect to the universal set?Class 10SetsComplement of a Set and Its PropertiesLevel 19EasyMathematicsIf U={1,2,3,4,5,6,7,8} and A={1,2,3}, which of the following is not the complement of A?Class 10SetsComplement of a Set and Its PropertiesLevel 19EasyMathematicsIf U={1,2,3,4,5,6,7,8,9,10} and Aᶜ={1,4,9}, how many elements does A contain?Class 10SetsComplement of a Set and Its PropertiesLevel 19EasyMathematicsIf U={1,2,3,4,5,6,7,8,9,10,11,12}, A={1,2,3,4,5,6}, and B={2,4,6,8,10,12}, how many elements does Aᶜ∪Bᶜ contain?Class 10SetsComplement of a Set and Its PropertiesLevel 19MediumMathematicsIn the universal set U={1,2,3,4,5,6,7,8,9}, let A={2,4,6,8} and B={1,2,3,4}. If all complements are taken with respect to U, what is (Aᶜ∪B)ᶜ?Class 10SetsComplement of a Set and Its PropertiesLevel 19MediumMathematicsLet \(U_1=\{1,2,3,4\}\), \(U_2=\{1,2,3,4,5,6\}\), and \(A=\{1,2\}\). What is the set difference between the complement of \(A\) relative to \(U_2\) and the complement of \(A\) relative to \(U_1\), taking the former difference from the latter?Class 10SetsComplement of a Set and Its PropertiesLevel 19MediumMathematicsIf U changes but A remains the same, which statement about Aᶜ is correct?Class 10SetsComplement of a Set and Its PropertiesLevel 19MediumMathematicsLet the universal set be \(U=\{1,2,3,4,5,6,7,8\}\) and \(A=\{1,3,5,7\}\). If \(C=A^c\), what is the value of \(C^c\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19MediumMathematicsIf the universal set \(U=\{1,2,3,4,5,6,7,8,9\}\) and \(A=\{2,4,6\}\), what is the value of \(A^c\setminus\{1,3,5\}\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19MediumMathematicsIf the universal set U = {1, 2, 3, 4, 5, 6} and A = {1, 2, 3}, which set B satisfies B = Aᶜ?Class 10SetsComplement of a Set and Its PropertiesLevel 19EasyMathematicsIf the universal set is \(U=\{1,2,3,4,5,6,7,8,9,10\}\) and \(A=\{x\mid x\in U\text{ and }x^2-5x+6=0\}\), what is the complement \(A^c\) of \(A\) with respect to \(U\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19MediumMathematicsLet the universal set be \(U=\{1,2,3,4,5,6,7,8\}\), \(A=\{1,3,5,7\}\), and \(B=\{2,3,5,8\}\). What is the value of \((A-B)^c\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium