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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) = 128, 63 elements are in exactly one set, and 11 are in all three sets, how many elements are in exactly two sets?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf n(A) = 48, n(B) = 52, n(A − B) = 17, and n(B − A) = 21, what is n(A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Hard MathematicsIf n(A ∩ B) = n(A), which relation must be true?Class 10SetsVenn DiagramsLevel 10Medium MathematicsGiven n(A − B) = 34, n(B − C) = 41, and n(C − A) = 29, which conclusion cannot always be assumed to be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11Hard MathematicsLet U = {1, 2, 3, ..., 100}. A is the set of numbers divisible by 2, B the set of numbers divisible by 5, and C the set of numbers divisible by 10. Which relation is correct?Class 10SetsVenn DiagramsLevel 11Medium MathematicsLet \(U=\{1,2,3,\ldots,60\}\), \(A=\{x:x\text{ is divisible by }2\}\), \(B=\{x:x\text{ is divisible by }3\}\), and \(C=\{x:x\text{ is divisible by }5\}\). What is \(n(A\cap B\cap C)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11Medium MathematicsLet U = {1, 2, 3, ..., 50}, A be the set of prime numbers, and B be the set of even numbers. What is A ∩ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11Medium 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 MathematicsLet \(U=\{1,2,3,\ldots,30\}\), \(A=\{x:x\text{ is a multiple of }2\}\), and \(B=\{x:x\text{ is a multiple of }3\}\). What is \(n(A\cap B)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11Medium MathematicsBy De Morgan’s law, what is (A∪B∪C)ᶜ equal to?Class 10SetsComplement of a Set and Its PropertiesLevel 11Medium MathematicsBy De Morgan’s law, what is \((A\cap B\cap C)^c\) equal to?Class 10SetsComplement of a Set and Its PropertiesLevel 11Medium MathematicsIn a Venn diagram, n(A △ B) = 82 and n(A ∪ B) = 119. What is n(A ∩ B)?Class 10SetsVenn DiagramsLevel 11Medium MathematicsIf A ⊆ B, n(A) = 38, n(B) = 91, and n(U) = 130, what is n(Bᶜ)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11Medium MathematicsIf n(A ∪ B) = 126, n(A − B) = 47, and n(B − A) = 39, what is n(A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11Medium MathematicsIn a Venn diagram, n(U) = 180, n(A) = 92, n(B) = 84, and n((A ∪ B)ᶜ) = 38. What is n(A ∩ B)?Class 10SetsVenn DiagramsLevel 13Hard MathematicsIn a sports survey, 80 people like cricket, 64 like football, and 29 like both. How many like exactly one sport?Class 10SetsVenn DiagramsLevel 15Medium MathematicsIn three sets, only A = 19, only B = 23, only C = 17, only A ∩ B = 8, only B ∩ C = 10, only C ∩ A = 6, and A ∩ B ∩ C = 5. What is n(B ∪ C)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15Medium MathematicsIn a survey, n(U) = 150, n(A) = 70, n(B) = 62, and n((A ∪ B)ᶜ) = 32. What is n(A ∩ B)?Class 10SetsVenn DiagramsLevel 15Medium MathematicsIn a Venn diagram, n(A ∩ B) = 0 and n(A ∪ B) = 92. If n(A) = 40, what is n(B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15Easy MathematicsIf n(A ∪ B) = 73, n(A − B) = 28, and n(B − A) = 32, which statement is correct?Class 10SetsVenn DiagramsLevel 15Medium