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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 = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 2, 5, 7}, and B = {2, 4, 5, 8, 10}. What is (A ∩ B)′?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf U = {1, 2, ..., 9}, A = {2, 4, 6, 8}, and B = {1, 2, 3, 4}, what is A′ ∩ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsLet U = {a,b,c,d,e,f,g}, A = {a,c,e,g}, and B = {b,c,e,f}. What is A ∩ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Easy MathematicsIf U = {1,2,3,4,5,6,7,8,9,10}, A = {1,2,5,10}, and B = {2,4,6,8,10}, what is A ∪ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf U = {1,2,3,4,5,6,7,8,9}, A = {1,2,4,8}, and B = {2,4,6,8}, what is A \ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16Easy MathematicsIf U = {1,2,3,4,5,6,7,8}, A = {1,3,5,7}, and B = {2,3,5,8}, what is A ∪ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16Easy MathematicsIf \(U=\{a,b,c,d,e,f\}\), \(A=\{a,c,e\}\), and \(B=\{b,c,e,f\}\), what is \(A\cap B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Easy MathematicsIf \(U=\{1,2,3,4,5,6,7,8\}\), \(A=\{1,2,7\}\), and \(B=\{2,4,6\}\), what is \(A\cup B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Easy MathematicsIf U = {a, b, c, d, e}, A = {a, b, d}, and B = {b, c}, what is A − B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Easy MathematicsIf \(U=\{1,2,3,4,5,6\}\), \(A=\{1,2,3\}\), and \(B=\{3,4\}\), what is \(A\cup B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Easy MathematicsIn a Venn diagram, n(A ∪ B ∪ C) = 215 and n((A ∪ B ∪ C)′) = 35. Exactly two sets have 62 elements. If n(U) is asked, what is the answer?Class 10SetsVenn DiagramsLevel 15Medium MathematicsIf n(A ∩ B') = 36, n(A' ∩ B) = 44, n(A ∩ B) = 25 and n((A ∪ B)') = 18, then what is n(U)?Class 10SetsVenn DiagramsLevel 15Medium MathematicsIn a Venn diagram, n(A ∪ B ∪ C) = 190 and n((A ∪ B ∪ C)′) = 25. What is n(U)?Class 10SetsVenn DiagramsLevel 14Easy MathematicsIf n(A∩B′)=29, n(A′∩B)=33, n(A∩B)=17, and n((A∪B)′)=21, what is n(U)?Class 10SetsVenn DiagramsLevel 10Medium MathematicsIf n(A ∪ B) = n(U), which region is empty in the Venn diagram?Class 10SetsVenn DiagramsLevel 11Medium MathematicsIn a Venn diagram, 14 elements lie outside both A and B, 22 lie only in A, 18 lie only in B, and 11 lie in both A and B. What is n(U)?Class 10SetsVenn DiagramsLevel 10Easy MathematicsIn a survey, n(U) = 200 and n(A ∪ B ∪ C) = 164. How many people are in none of the sets?Class 10SetsVenn DiagramsLevel 13Easy MathematicsIf n(A ∩ B′) = 18, n(A′ ∩ B) = 22, n(A ∩ B) = 16, and n(U) = 75, what is n(A′ ∩ B′)?Class 10SetsVenn DiagramsLevel 15Medium MathematicsIn a survey, the universal set U has 200 people, and 164 people belong to at least one of the sets A, B, or C. How many people belong to none of the three sets?Class 10SetsVenn DiagramsLevel 10Easy MathematicsIf n(A ∩ Bᶜ) = 48, n(Aᶜ ∩ B) = 44, n(A ∩ B) = 28, and n(U) = 160, what is n(Aᶜ ∩ Bᶜ)?Class 10SetsVenn DiagramsLevel 14Medium