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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 \(U\) is the set of all students in a school and \(A\) is the set of students who come by bus, what does \(A^c\) represent?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf the universal set U = {1, 2, 3, 4, 5, 6, 7}, A = {1, 2, 3, 4}, and B = {3, 4, 5}, what is (A ∩ B)ᶜ with respect to U?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf U = {1, 2, 3, 4, 5, 6, 7}, A = {1, 2, 5}, and B = {2, 4, 6}, what is the complement of A ∪ B?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsAssume that N denotes the set of positive natural numbers. If U = {x ∈ N : x < 7} and A = {x ∈ U : x ≤ 3}, what is the complement Aᶜ of A with respect to U?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf U = {0, 1, 2, 3, 4, 5, 6} and A = {0, 3, 6}, what is the complement Aᶜ of A with respect to U?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} and A = {4, 8, 12}, what is the complement Aᶜ with respect to U?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf U = {1, 2, 3, 4, 5, 6, 7, 8, 9} and A = {1, 4, 9}, what is the complement Aᶜ of A with respect to U?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf \(U=\{5,10,15,20\}\) and \(A=U\), what is \(A^c\)?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf \(U=\{p,q,r,s,t\}\) and \(A=\{p,s,t\}\), find \(A^c\).Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf \(A=\{1,2\}\), \(U_1=\{1,2,3\}\), and \(U_2=\{1,2,3,4\}\), why is the complement of A different in the two cases?Class 10SetsComplement of a Set and Its PropertiesLevel 20Easy MathematicsIf 4 ∈ Aᶜ, which statement is correct?Class 10SetsComplement of a Set and Its PropertiesLevel 20Easy MathematicsIf U = {1, 2, 3, 4, 5} and Aᶜ = {2, 5}, what is A ∪ Aᶜ?Class 10SetsComplement of a Set and Its PropertiesLevel 20Easy MathematicsIf U = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday} and A = {Saturday, Sunday}, what does Aᶜ represent?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIf U is the universal set and A is a subset of U, what is U − A equal to?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIf n(U) = 25, what is n(A ∪ Aᶜ)?Class 10SetsComplement of a Set and Its PropertiesLevel 20Easy MathematicsIf n(U) = 30 and n(Aᶜ) = 18, what is n(A)?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIf U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} and A = {3, 6, 9, 12}, what is the complement Aᶜ of A with respect to U?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIn a Venn diagram, the rectangle represents U and the circle represents A. What is the region outside the circle but inside the rectangle called?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIf \(A^c = U\), then what is \(A\) equal to?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIf \(A^c=\varnothing\), then A is equal to what?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy