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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) = 115, n(A) = 73, n(B) = 67, and n(U) = 150, what is n(Aᶜ ∪ Bᶜ)?Class 10SetsVenn DiagramsLevel 10MediumMathematicsFor 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 11HardMathematicsIn a Venn diagram, what is (A ∪ B) ∩ (A ∪ Bᶜ) equal to?Class 10SetsVenn DiagramsLevel 11EasyMathematicsIn 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 11MediumMathematicsIf n(A ∪ B) = 104, n(A ∩ B) = 26, and n(A − B) = 37, what is n(B)?Class 10SetsVenn DiagramsLevel 11MediumMathematicsIn a survey, n(A) = 82, n(B) = 76, n(C) = 70, 54 people are in exactly two sets, and 18 are in all three sets. How many people are in exactly one set?Class 10SetsVenn DiagramsLevel 10HardMathematicsIf 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 10MediumMathematicsIf in three sets there are 71 elements belonging to exactly one set, 46 elements belonging to exactly two sets, and 15 elements belonging to all three sets, what is n(A ∪ B ∪ C)?Class 10SetsVenn DiagramsLevel 10MediumMathematicsIn three sets, n(A ∪ B ∪ C) = 150. If only A = 32, only B = 28, only C = 24, only A ∩ B = 18, only B ∩ C = 16, and only C ∩ A = 14, what is n(A ∩ B ∩ C)?Class 10SetsVenn DiagramsLevel 10HardMathematicsIn 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 10HardMathematicsIf n(A) = 55, n(B) = 50, n(A − B) = 20, and n(B − A) = 18, what is the correct conclusion about the given data?Class 10SetsVenn DiagramsLevel 10HardMathematicsIf n(A ∩ B) = n(A), which relation must be true?Class 10SetsVenn DiagramsLevel 10MediumMathematicsIf n(A ∪ B) = n(A), which relation must be true?Class 10SetsVenn DiagramsLevel 10MediumMathematicsIf n(A ∪ B) = n(A) + n(B), which conclusion is correct according to the Venn diagram?Class 10SetsVenn DiagramsLevel 10MediumMathematicsGiven 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 11HardMathematicsLet 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 11MediumMathematicsLet \(U\) be a universal set with \(n(U)=200\). If \(n(A\cup B)=128\), \(n(A\cap B)=36\), and \(n(A^c\cap B^c)=72\), which relation is true?Class 10SetsVenn DiagramsLevel 11MediumMathematicsIn a Venn diagram, what is (A ∪ B) − (A ∩ B) equal to?Class 10SetsVenn DiagramsLevel 11MediumMathematicsIn a Venn diagram, n(A △ B) = 82 and n(A ∪ B) = 119. What is n(A ∩ B)?Class 10SetsVenn DiagramsLevel 11MediumMathematicsIf only A=18, only A∩B=12, only A∩C=10, and A∩B∩C=6, what is n(A)?Class 10SetsVenn DiagramsLevel 10Easy