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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 Venn diagram, n(A ∪ B ∪ C) = 190 and n((A ∪ B ∪ C)′) = 25. What is n(U)?Class 10SetsVenn DiagramsLevel 14Easy MathematicsAssertion: 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 14Medium MathematicsAssertion: 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 14Medium MathematicsIf 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 14Hard MathematicsIf 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 14Medium MathematicsIf 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 14Easy MathematicsIf A ⊆ B ⊆ C, then what is A ∩ B ∩ C equal to?Class 10SetsEqual sets and SubsetsLevel 14Easy MathematicsIf A ⊆ B ⊆ C, then what is A ∪ B ∪ C equal to?Class 10SetsVenn DiagramsLevel 14Easy MathematicsIf 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 14Medium MathematicsWhich statement correctly describes the Venn region represented by A ∩ (B − C)?Class 10SetsVenn DiagramsLevel 14Easy MathematicsIf 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 14Medium MathematicsSuppose 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 14Hard MathematicsIf 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 14Medium MathematicsIf 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 10Hard MathematicsIf 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 14Medium MathematicsIf (A\cap B=A) and (A\neq \varnothing), which relation is correct?Class 10SetsVenn DiagramsLevel 10Medium MathematicsWhich region does A − (B ∩ C) represent in a Venn diagram?Class 10SetsVenn DiagramsLevel 14Medium MathematicsIf n(A) = 42, n(B) = 38, and n(A ∩ B) = 17, what is n(A' ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf n(A) = 73 and n(B) = 58, what is the maximum possible value of n(A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Easy MathematicsIf A = {x ∈ N : x ≤ 20}, B = {x : x is odd and x ≤ 20}, and C = {x : x is a multiple of 5 and x ≤ 20}, what is n(B ∩ C)?Class 10SetsVenn DiagramsLevel 14Easy