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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।

MathematicsWhich Venn diagram region represents A − (B ∪ C)?Class 10SetsVenn DiagramsLevel 11MediumMathematicsIf only A has 12, only B has 15, only C has 18, only A ∩ B has 9, only B ∩ C has 7, only C ∩ A has 6, and A ∩ B ∩ C has 4, what is n(A ∩ (B ∪ C))?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10HardMathematicsIn a survey, n(M) = 60, n(P) = 54, n(C) = 50, n(M ∩ P) = 25, n(P ∩ C) = 22, n(C ∩ M) = 20, and n(M ∩ P ∩ C) = 10. How many study only M?Class 10SetsVenn DiagramsLevel 10HardMathematicsIf n(U) = 110, n(A) = 58, n(B) = 49, and n(A − B) = 21, choose the correct value of n((A ∪ B)′).Class 10SetsVenn DiagramsLevel 11MediumMathematicsIf n(U) = 110, n(A) = 58, n(B) = 49 and n(A − B) = 21, then what is n((A ∪ B)′)?Class 10SetsSets and their representationsLevel 10HardMathematicsIf n(A) = 45, n(B) = 52 and n(A ∪ B) = 73, what is n(A △ B), where A △ B = (A − B) ∪ (B − A)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10HardMathematicsIn an examination group of 120 students, 72 study Mathematics, 64 study Physics, and 38 study both subjects. How many study exactly one subject?Class 10SetsVenn DiagramsLevel 10MediumMathematicsIf A ∩ B = ∅, n(A) = 41, n(B) = 39, and n(U) = 100, what is n((A ∪ B)′)?Class 10SetsVenn DiagramsLevel 11MediumMathematicsIf A ⊆ B, n(A) = 32, n(B) = 57 and n(U) = 90, then what is n(B − A)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIn a Venn diagram, only A has 23, only B has 17, only C has 19, the three two-set-only regions have 8, 9, and 10, and the centre has 5. What is n(A ∪ B ∪ C)?Class 10SetsVenn DiagramsLevel 10HardMathematicsIn a survey, n(U) = 200 and n(A ∪ B ∪ C) = 164. How many people are in none of the sets?Class 10SetsVenn DiagramsLevel 13EasyMathematicsIf n(A ∩ B ∩ C) = 9, only A ∩ B has 14 elements, only B ∩ C has 11 elements, and only C ∩ A has 13 elements, what is n((A ∩ B) ∪ (B ∩ C) ∪ (C ∩ A))?Class 10SetsVenn DiagramsLevel 13HardMathematicsIf n(U) = 150, n(A) = 70, n(B) = 65, and n(A ∩ B) = 28, what is n((A ∪ B)')?Class 10SetsVenn DiagramsLevel 13MediumMathematicsIn a class, n(U) = 80, n(A) = 37, n(B) = 42, and n(A ∩ B) = 19. How many students belong only to A?Class 10SetsVenn DiagramsLevel 13MediumMathematicsIn a survey, n(U) = 120, n(A) = 62, n(B) = 55, and n(A ∪ B) = 91. According to the Venn diagram, what is n(A ∩ B)?Class 10SetsVenn DiagramsLevel 13MediumMathematicsIn a class of 100 students, 72 chose at least one of A or B. If only A has 28 students and only B has 34 students, how many students are in both?Class 10SetsVenn DiagramsLevel 15MediumMathematicsIf n(U) = 250, n(A) = 120, n(B) = 110, n(C) = 95, n(A ∩ B) = 52, n(B ∩ C) = 41, n(C ∩ A) = 37, and n(A ∩ B ∩ C) = 19, what is the number of elements not in at least one set?Class 10SetsVenn DiagramsLevel 15HardMathematicsWhy do A, B, and C create 7 separate inner regions in a Venn diagram?Class 10SetsVenn DiagramsLevel 15MediumMathematicsIf n(A − B) = 27, n(B − C) = 31, n(C − A) = 24, and the three sets are drawn generally, why is n(A ∪ B ∪ C) not determined from these alone?Class 10SetsVenn DiagramsLevel 15HardMathematicsIf n(A ∪ B) = 88, n(A ∩ B) = 26, and n(A − B) = 35, what is n(B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15Medium