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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।

MathematicsIf n(A ∪ B ∪ C) = 180, n(A ∩ B ∩ C) = 20, and 70 elements lie in exactly two of the sets, how many elements lie in exactly one set?Class 10SetsVenn DiagramsLevel 10Medium MathematicsIf n(A ∪ B) = 115, n(A) = 73, n(B) = 67, and n(U) = 150, what is n(Aᶜ ∪ Bᶜ)?Class 10SetsVenn DiagramsLevel 10Medium MathematicsFor three sets A, B, and C, n(A) = 72, n(B) = 66, and n(C) = 60. Exactly one set contains 84 elements, and all three sets together contain 10 elements. How many elements belong to exactly two sets?Class 10SetsVenn DiagramsLevel 11Hard MathematicsIn a survey, n(U) = 200, n(A) = 96, n(B) = 88, n(C) = 74, n(A ∩ B) = 40, n(B ∩ C) = 31, n(C ∩ A) = 29, and n(A ∩ B ∩ C) = 12. How many people are in none of the sets?Class 10SetsVenn DiagramsLevel 10Hard MathematicsLet \(U=\{1,2,3,\ldots,40\}\), \(A=\{x:x\text{ is divisible by }4\}\), and \(B=\{x:x\text{ is divisible by }5\}\). What is \(n(A\cup B)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11Medium MathematicsIf n(A)=80, n(A∩B)=35, n(A∩C)=32, and n(A∩B∩C)=14, how many elements are only in A?Class 10SetsVenn DiagramsLevel 10Medium MathematicsIf n(A)=70, n(B)=65, n(C)=60, n(A∪B∪C)=140, n(A∩B)=28, n(B∩C)=24, and n(C∩A)=22, what is n(A∩B∩C)?Class 10SetsVenn DiagramsLevel 10Hard MathematicsFor three sets, n(A)=64, n(B)=58, n(C)=52, n(A∩B)=24, n(B∩C)=21, n(C∩A)=19, and n(A∩B∩C)=8. What is n(A∪B∪C)?Class 10SetsVenn DiagramsLevel 10Hard MathematicsIf n(A) = 46, n(B) = 40, n(C) = 37, n(A ∩ B) = 14, n(B ∩ C) = 12, n(C ∩ A) = 11, and n(A ∪ B ∪ C) = 91, what is n(A ∩ B ∩ C)?Class 10SetsVenn DiagramsLevel 15Medium MathematicsIf n(A) = 48, n(B) = 43, n(C) = 41, n(A ∪ B ∪ C) = 99, n(A ∩ B) = 17, n(B ∩ C) = 14, and n(C ∩ A) = 13, what is n(A ∩ B ∩ C)?Class 10SetsVenn DiagramsLevel 15Medium MathematicsGiven n(U) = 180, n(A) = 76, n(B) = 69, n(C) = 62, n(A ∩ B) = 30, n(B ∩ C) = 27, n(C ∩ A) = 24, and n(A ∩ B ∩ C) = 10, how many elements belong to none of the sets?Class 10SetsVenn DiagramsLevel 15Medium MathematicsIf n(U) = 125, n(A) = 62, n(B) = 55, and n((A ∪ B)ᶜ) = 24, what is n(A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15Medium MathematicsIn a class, 63 students learn dance, 58 learn music, and 26 learn both. How many students learn at least one art?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Easy MathematicsIf n(A)=63, n(A∩B)=26, n(A∩C)=24, and n(A∩B∩C)=9, how many elements are only in A?Class 10SetsVenn DiagramsLevel 10Medium MathematicsFor three sets A, B, C, n(A∩B)=21, n(B∩C)=19, n(C∩A)=16, and n(A∩B∩C)=7. How many elements belong to exactly two of the sets?Class 10SetsVenn DiagramsLevel 10Medium MathematicsFor three sets, n(A)=42, n(B)=39, n(C)=35, n(A∩B)=15, n(B∩C)=13, n(C∩A)=11, and n(A∩B∩C)=5. What is n(A∪B∪C)?Class 10SetsVenn DiagramsLevel 10Medium MathematicsFor three sets, n(A) = 38, n(A ∩ B) = 16, n(A ∩ C) = 13, and n(A ∩ B ∩ C) = 5. How many elements belong only to A?Class 10SetsVenn DiagramsLevel 14Medium MathematicsIf n(A)=40, n(B)=36, n(C)=34, n(A∪B∪C)=82, n(A∩B)=12, n(B∩C)=10, and n(C∩A)=9, what is n(A∩B∩C)?Class 10SetsVenn DiagramsLevel 14Medium MathematicsGiven n(U)=140, n(A)=60, n(B)=55, n(C)=50, n(A∩B)=24, n(B∩C)=21, n(C∩A)=19, and n(A∩B∩C)=8, how many elements are in none of the sets?Class 10SetsVenn DiagramsLevel 14Medium MathematicsIn a class, 58 students learn music, 49 learn painting, and 22 learn both. How many students learn at least one of the two arts?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14Easy