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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 60% of students are in A, 50% are in B, and 25% are in both A and B, what percentage are in exactly one of the two sets?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15Medium MathematicsIn a group, 35% of people are in A, 48% are in B, and 20% are in both. What percentage is in at least one of the two sets?Class 10SetsVenn DiagramsLevel 15Medium MathematicsIf n(A) = 4x + 6, n(B) = 3x + 9, n(A ∩ B) = 2x + 5, and n(A ∪ B) = 80, find x.Class 10SetsVenn DiagramsLevel 15Hard MathematicsIf n(A) = 3x + 8, n(B) = 2x + 17, n(A ∩ B) = x + 5, and n(A ∪ B) = 60, what is x?Class 10SetsVenn DiagramsLevel 15Hard MathematicsIn a survey there are 45 people in set A, 50 in B, and 42 in C; n(A ∩ B)=18, n(B ∩ C)=20, n(C ∩ A)=16, and 7 people are in all three. How many people are only in A?Class 10SetsVenn DiagramsLevel 15Hard MathematicsWhich formula correctly gives the number of elements belonging to exactly two of three sets?Class 10SetsVenn DiagramsLevel 15Hard MathematicsIf n(A ∪ B ∪ C) = 100, n(A) = 50, n(B) = 45, n(C) = 40, n(A ∩ B) = 18, n(B ∩ C) = 15, and n(C ∩ A) = 12, what is n(A ∩ B ∩ C)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15Hard 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 15Hard MathematicsIf n(A ∪ B) = 96, n(A) = 58, and n(B) = 49, find n(A ∩ B).Class 10SetsVenn DiagramsLevel 14Easy MathematicsLet 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 14Medium MathematicsIf n(U) = 180, n(A) = 105, and n(B) = 96, what is the minimum possible value of n(A ∩ B)?Class 10SetsVenn DiagramsLevel 14Medium MathematicsFor 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 14Hard MathematicsFor 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 14Hard MathematicsIn a survey, n(U) = 260, n(A) = 118, n(B) = 104, n(C) = 92, n(A ∩ B) = 48, n(B ∩ C) = 41, n(C ∩ A) = 37, and n(A ∩ B ∩ C) = 16. How many are in none of the sets?Class 10SetsVenn DiagramsLevel 14Hard MathematicsU = {1, 2, 3, ..., 72}, A = {x : x is divisible by 6}, and B = {x : x is divisible by 8}. What is n(A ∪ B)?Class 10SetsVenn DiagramsLevel 14Medium MathematicsIf n(A) = 94, n(A ∩ B) = 40, n(A ∩ C) = 37, and n(A ∩ B ∩ C) = 16, how many elements belong only to A?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf n(A) = 82, n(B) = 76, n(C) = 70, n(A ∪ B ∪ C) = 162, n(A ∩ B) = 34, n(B ∩ C) = 30, and n(C ∩ A) = 27, what is n(A ∩ B ∩ C)?Class 10SetsVenn DiagramsLevel 10Medium MathematicsFor three sets, n(A) = 72, n(B) = 66, n(C) = 59, n(A ∩ B) = 28, n(B ∩ C) = 24, n(C ∩ A) = 22, and n(A ∩ B ∩ C) = 9. What is n(A ∪ B ∪ C)?Class 10SetsVenn DiagramsLevel 10Hard MathematicsIn a class, n(A) = 86, n(B) = 78, and the number of students in exactly one set is 98. What is n(A ∩ B)?Class 10SetsVenn DiagramsLevel 10Medium MathematicsIn a Venn diagram, n(U) = 210, n(A) = 96, n(B) = 88, and n((A ∪ B)ᶜ) = 58. What is n(A ∩ B)?Class 10SetsVenn DiagramsLevel 10Medium