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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, which region represents \(A^c\) with respect to the universal set \(U\)?Class 10SetsVenn DiagramsLevel 21Easy MathematicsIf A and B are finite sets and |A \ B| = 9, |B \ A| = 4, and |A ∩ B| = 11, what is |A ∪ B|?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf A = {1, 2, 3, 4, 5}, B = {2, 4, 6, 8}, and C = {1, 4, 7, 8}, what is (A ∪ B) ∩ C?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf n(A ∪ B) = 54, n(A \ B) = 17, and n(B \ A) = 21, what is n(A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16Medium MathematicsIn a class of 64 students, 38 study Mathematics, 32 study Physics, and 20 study both subjects. How many students study exactly one subject?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf A = {1, 2, 3, 4}, B = {3, 4, 5}, and C = {4, 5, 6}, what is (A ∩ B) ∪ C?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Easy MathematicsIf \(A\cup B=A\), which conclusion is correct?Class 10SetsEqual sets and SubsetsLevel 16Easy MathematicsIf U = {1, 2, ..., 180}, A is the set of multiples of 12, B is the set of multiples of 15, and C is the set of multiples of 20, what is n((A ∪ B ∪ C)′)?Class 10SetsVenn DiagramsLevel 15Hard MathematicsIf n(A) = 92, n(B) = 85, n(C) = 78, n(A ∩ B) = 37, n(B ∩ C) = 34, n(C ∩ A) = 29, and n(A ∩ B ∩ C) = 16, how many elements are only in B ∩ C?Class 10SetsVenn DiagramsLevel 15Medium MathematicsIn a Venn diagram, n(A ∪ B ∪ C) = 215 and n((A ∪ B ∪ C)′) = 35. Exactly two sets have 62 elements. If n(U) is asked, what is the answer?Class 10SetsVenn DiagramsLevel 15Medium MathematicsAssertion: If A ⊆ B, then A ∩ B = A. Reason: Every element of A is also in B. Choose the correct option.Class 10SetsVenn DiagramsLevel 15Medium MathematicsIf only n(A−B)=24, n(B−C)=27 and n(C−A)=22 are given, can n(A∪B∪C) be determined uniquely?Class 10SetsVenn DiagramsLevel 15Hard MathematicsIf n(A∪B∪C)=184, n(A)=86, n(B)=91, n(C)=88 and n(A∩B∩C)=23, what is n(A∩B)+n(B∩C)+n(C∩A)?Class 10SetsVenn DiagramsLevel 15Hard MathematicsIf n(A−B)=0, n(B−C)=0 and n(A)>0, which relation must be true?Class 10SetsVenn DiagramsLevel 15Easy MathematicsIf A, B and C are mutually disjoint, n(A)=27, n(B)=34, n(C)=41 and n(U)=125, what is n((A∪B∪C)′)?Class 10SetsComplement of a Set and Its PropertiesLevel 15Medium MathematicsIf n(A∩(B∪C))=52, only A∩B has 23 elements and only A∩C has 18 elements, what is n(A∩B∩C)?Class 10SetsVenn DiagramsLevel 15Medium MathematicsIf n(A)=82, n(B)=77, n(C)=69, n(A∪B∪C)=151, n(A∩B)=32, n(B∩C)=28, and n(C∩A)=25, what is n(A∩B∩C)?Class 10SetsVenn DiagramsLevel 15Hard MathematicsIf only A∩B has 19 elements, only B∩C has 17 elements, only C∩A has 21 elements, and A∩B∩C has 11 elements, how many elements are in at least two sets?Class 10SetsVenn DiagramsLevel 15Medium MathematicsIn an exam, among 180 students, 97 solved A, 88 solved B, 82 solved C, 41 solved A and B, 36 solved B and C, 34 solved C and A, and 18 solved all three. How many solved at least one question?Class 10SetsVenn DiagramsLevel 10Hard MathematicsIn a library, among 150 students, 83 read novels, 69 read poetry, and 28 read neither. How many read both?Class 10SetsVenn DiagramsLevel 10Medium