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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 a survey, n(U) = 240, n(A) = 112, n(B) = 104, n(C) = 93, n(A ∩ B) = 46, n(B ∩ C) = 38, n(C ∩ A) = 35, and n(A ∩ B ∩ C) = 17. How many elements are in none of the sets?Class 10SetsVenn DiagramsLevel 15HardMathematicsIf n(A ∪ B ∪ C) = 155, n(A ∪ B) = 118, n(B ∪ C) = 124, n(C ∪ A) = 121, and n(B) = 64, then what is n((A ∩ C) − B)?Class 10SetsVenn DiagramsLevel 14HardMathematicsIn a Venn diagram, n(A ∪ B ∪ C) = 190 and n((A ∪ B ∪ C)′) = 25. What is n(U)?Class 10SetsVenn DiagramsLevel 14EasyMathematicsAssertion: If A ∩ B = ∅, then n(A ∪ B) = n(A) + n(B). Reason: Disjoint sets have no common elements or common region. Choose the correct option.Class 10SetsVenn DiagramsLevel 14MediumMathematicsAssertion: n(A ∪ B) = n(A) + n(B) − n(A ∩ B). Reason: Elements of A ∩ B are counted twice in n(A) + n(B). Choose the correct option.Class 10SetsVenn DiagramsLevel 14MediumMathematicsIf only n(A−B)=20, n(B−C)=18, and n(C−A)=16 are given, can n(A ∪ B ∪ C) be determined uniquely?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14HardMathematicsIf n(A ∪ B ∪ C) = 160, n(A) = 70, n(B) = 75, n(C) = 80 and n(A ∩ B ∩ C) = 18, then what is n(A ∩ B) + n(B ∩ C) + n(C ∩ A)?Class 10SetsVenn DiagramsLevel 14MediumMathematicsIf n(A − B)=0 and n(A)>0, which relation between A and B is necessarily true in the Venn diagram?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 14EasyMathematicsIf A ⊆ B ⊆ C, then what is A ∩ B ∩ C equal to?Class 10SetsEqual sets and SubsetsLevel 14EasyMathematicsIf A ⊆ B ⊆ C, then what is A ∪ B ∪ C equal to?Class 10SetsVenn DiagramsLevel 14EasyMathematicsIf A, B and C are mutually disjoint, n(A) = 18, n(B) = 24, n(C) = 29 and n(U) = 90, then what is n((A ∪ B ∪ C)')?Class 10SetsVenn DiagramsLevel 14MediumMathematicsWhich statement correctly describes the Venn region represented by A ∩ (B − C)?Class 10SetsVenn DiagramsLevel 14EasyMathematicsIf n(A ∩ (B ∪ C)) = 44, only (A ∩ B) contains 18 elements and only (A ∩ C) contains 16 elements, then what is n(A ∩ B ∩ C)?Class 10SetsVenn DiagramsLevel 14MediumMathematicsSuppose n(A)=70, n(B)=65, n(C)=60, n(A ∪ B ∪ C)=128, n(A ∩ B)=27, n(B ∩ C)=24, and n(C ∩ A)=22. Which conclusion is mathematically correct?Class 10SetsVenn DiagramsLevel 14HardMathematicsIf only A has 31 elements, only B has 27 elements, only C has 25 elements, the total of the exactly-two-set regions is 42, and all three sets have 11 elements, then what is n(A ∪ B ∪ C)?Class 10SetsVenn DiagramsLevel 14MediumMathematicsIf only (A\cap B) has (14), only (B\cap C) has (12), only (C\cap A) has (15), and (A\cap B\cap C) has (8) elements, then what is (n((A\cap B)\cup(B\cap C)\cup(C\cap A)))?Class 10SetsVenn DiagramsLevel 10HardMathematicsIf n(A ∩ B) = 26 and n(A ∩ B ∩ C) = 10, how many elements are only in A ∩ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14MediumMathematicsIn an exam, 82 students solved question A, 76 solved B, 69 solved C, 37 solved both A and B, 32 solved both B and C, 29 solved both C and A, and 15 solved all three. How many solved at least one question?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14HardMathematicsIn a survey of 120 people, 66 read a newspaper, 58 read a magazine, and 24 read neither. How many read both?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14MediumMathematicsIf n(A ∩ B) = 0, n(A) = 28, and n(B) = 34, what is n(A △ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14Medium

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