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Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsFor three sets, n(A) = 40, n(B) = 38, n(C) = 35, n(A ∩ B) = 14, n(B ∩ C) = 12, n(C ∩ A) = 10, and n(A ∩ B ∩ C) = 5. What is n(A ∪ B ∪ C)?Class 10SetsVenn DiagramsLevel 15HardMathematicsIf n(U) = 150 and n(A ∪ B) = 118, what is the number of elements in (A ∪ B)ᶜ?Class 10SetsComplement of a Set and Its PropertiesLevel 15EasyMathematicsIn a class, n(U) = 90, n(A) = 52, n(B) = 47, and n(A ∩ B) = 24. How many students are in neither A nor B?Class 10SetsVenn DiagramsLevel 15MediumMathematicsIf n(A ∪ B) = 96, n(A) = 58, and n(B) = 49, find n(A ∩ B).Class 10SetsVenn DiagramsLevel 14EasyMathematicsIn a survey, n(U) = 120, n(A) = 72, n(B) = 65, and n(A ∩ B) = 38. How many students are only in A?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15EasyMathematicsIf n(A ∩ Bᶜ) = 48, n(Aᶜ ∩ B) = 44, n(A ∩ B) = 28, and n(U) = 160, what is n(Aᶜ ∩ Bᶜ)?Class 10SetsVenn DiagramsLevel 14MediumMathematicsLet U = {1, 2, 3, ..., 96}, A be the numbers divisible by 4, and B be the numbers divisible by 6. What is n(A ∪ B)?Class 10SetsVenn DiagramsLevel 14MediumMathematicsIf n(A ∪ B) = 136, n(A − B) = 49, and n(A ∩ B) = 31, what is n(B)?Class 10SetsVenn DiagramsLevel 14MediumMathematicsIf n(U) = 180, n(A) = 105, and n(B) = 96, what is the minimum possible value of n(A ∩ B)?Class 10SetsVenn DiagramsLevel 14MediumMathematicsIf n(A ∩ B) = 45, n(A ∩ C) = 38, n(B ∩ C) = 35, and n(A ∩ B ∩ C) = 16, how many elements are in exactly two sets?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14HardMathematicsFor three sets, n(A) = 90, n(B) = 84, n(C) = 78, n(A ∩ B) = 36, n(B ∩ C) = 32, n(C ∩ A) = 30, and n(A ∩ B ∩ C) = 13. What is n(A ∪ B ∪ C)?Class 10SetsVenn DiagramsLevel 14HardMathematicsIf n(A △ B) = 112 and n(A ∩ B) = 39, what is n(A ∪ B)?Class 10SetsVenn DiagramsLevel 14MediumMathematicsIn a Venn diagram, n(A) = 91, n(B) = 87, and n(A ∩ B) = 34. If n(U) = 190, what is n((A ∪ B)ᶜ)?Class 10SetsVenn DiagramsLevel 14MediumMathematicsIf n(A − B) = x, n(B − A) = 3x, n(A ∩ B) = 24, and n(A ∪ B) = 120, what is x?Class 10SetsVenn DiagramsLevel 14MediumMathematicsIf n(A ∪ B ∪ C) = 205, n(A ∩ B ∩ C) = 24, and exactly two sets contain a total of 83 elements, how many elements are in exactly one set?Class 10SetsVenn DiagramsLevel 14MediumMathematicsIf A and B are two overlapping sets, what is A − (A ∩ B) equal to?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14MediumMathematicsIf n(A ∪ B) = 139, n(A) = 82, n(B) = 76, and n(U) = 190, what is n(Aᶜ ∪ Bᶜ)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14HardMathematicsFor three sets A, B, and C, n(A) = 84, n(B) = 78, and n(C) = 72. There are 96 elements in exactly one set and 12 elements in all three sets. How many elements are in exactly two sets?Class 10SetsVenn DiagramsLevel 14HardMathematicsIf n(A ∩ Bᶜ) = 52, n(Aᶜ ∩ B) = 39, and n(A △ B) = 100, what is the correct conclusion about the data?Class 10SetsVenn DiagramsLevel 14HardMathematicsIf n(A∩Bᶜ)=41, n(Aᶜ∩B)=34, n(A∩B)=26, and n(U)=130, what is n(Aᶜ∩Bᶜ)?Class 10SetsVenn DiagramsLevel 10Medium

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