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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।

MathematicsIn three sets, only A = 31, only B = 26, only C = 24, only A ∩ B = 15, only B ∩ C = 13, only C ∩ A = 11, and A ∩ B ∩ C = 8. If n(U) = 160, what is n((A ∪ B ∪ C)ᶜ)?Class 10SetsVenn DiagramsLevel 10Medium MathematicsIf n(A ∩ B) = 48, n(A ∩ C) = 41, n(B ∩ C) = 39, and n(A ∩ B ∩ C) = 17, how many elements belong to at least two sets?Class 10SetsVenn DiagramsLevel 10Hard 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 MathematicsIn three sets, n(A ∩ B) = 36, n(B ∩ C) = 33, n(C ∩ A) = 31, and n(A ∩ B ∩ C) = 14. How many elements belong to exactly two sets?Class 10SetsVenn DiagramsLevel 10Hard 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 MathematicsIf A ⊆ B ⊆ C, n(C) = 132, n(B) = 84, and n(A) = 37, what is n(C − A)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf A ⊆ B, n(A) = 46, n(B) = 108, and n(U) = 150, what is n(Bᶜ)?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy 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 MathematicsIf n(A − B) = x, n(B − A) = 2x, n(A ∩ B) = 15, and n(A ∪ B) = 75, what is the value of x?Class 10SetsVenn DiagramsLevel 10Medium 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 A and B are two overlapping circles in a Venn diagram, what is A − (A ∩ B) equal to?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Easy 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 Venn diagram, what is (A ∪ B) ∩ (A ∪ Bᶜ) equal to?Class 10SetsVenn DiagramsLevel 11Easy MathematicsIn a Venn diagram, what set is (A ∩ B) ∪ (A ∩ Bᶜ) equal to?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11Easy MathematicsIf n(A − B) = 36, n(B − A) = 28, n(A ∩ B) = 22, and n(U) = 120, what is n(Aᶜ ∪ Bᶜ)?Class 10SetsComplement of a Set and Its PropertiesLevel 11Medium MathematicsIn a Venn diagram, n(A − B) = 25, n(B − A) = 30, n(A ∩ B) = 20, and n((A ∪ B)ᶜ) = 15. What is n(Aᶜ)?Class 10SetsVenn DiagramsLevel 11Medium MathematicsIf n(U) = 170, n(A ∩ B) = 44, and n(Aᶜ ∪ Bᶜ) = 146, what can be said about the given data?Class 10SetsComplement of a Set and Its PropertiesLevel 11Medium