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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 A ∩ B = ∅ and B ∩ C = ∅, is it necessary that A ∩ C = ∅?Class 10SetsVenn DiagramsLevel 15Medium MathematicsIf in the Venn diagram of A and B, the circle of A lies completely inside the circle of B, which statement is necessarily true?Class 10SetsVenn DiagramsLevel 15Easy MathematicsIf n(A) = 70, n(B) = 62, n(C) = 58, n(A ∩ B) = 30, n(B ∩ C) = 24, n(C ∩ A) = 26, n(A ∩ B ∩ C) = 12, and n(U) = 130, how many elements are in none of the sets?Class 10SetsVenn DiagramsLevel 15Hard MathematicsIn a survey there are 45 people in set A, 50 in B, and 42 in C; n(A ∩ B)=18, n(B ∩ C)=20, n(C ∩ A)=16, and 7 people are in all three. How many people are only in A?Class 10SetsVenn DiagramsLevel 15Hard MathematicsIf n(A ∩ B)=20, n(B ∩ C)=18, n(C ∩ A)=16, and n(A ∩ B ∩ C)=6, how many elements are in exactly two sets?Class 10SetsVenn DiagramsLevel 15Hard MathematicsWhich formula correctly gives the number of elements belonging to exactly two of three sets?Class 10SetsVenn DiagramsLevel 15Hard MathematicsIf n(A Δ B) = 54 and n(A ∩ B) = 19, what is n(A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15Medium MathematicsIn a Venn diagram, n(A ∪ B) = 70, n(A − B) = 24, and n(B − A) = 31. What is n(A ∩ B)?Class 10SetsVenn DiagramsLevel 15Easy MathematicsIf n(A′) = 35, n(B′) = 42, n(U) = 80, and n(A ∩ B) = 25, what is n(A′ ∩ B′)?Class 10SetsComplement of a Set and Its PropertiesLevel 15Medium MathematicsIf n(U) = 100, n(A) = 48, n(B) = 52, and n(A′ ∩ B′) = 18, what is n(A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15Medium MathematicsIn a Venn diagram, why must expressions such as n(A−B)=18, n(B−C)=26, and n(C−A)=21 be handled carefully?Class 10SetsVenn DiagramsLevel 10Hard MathematicsIf n(A−B)=23, n(B−A)=17, and n(A∩B)=12, what is n(A∪B)?Class 10SetsVenn DiagramsLevel 10Medium MathematicsIf A∩B=∅, n(A)=31, and n(B)=44, what is n(A∪B)?Class 10SetsVenn DiagramsLevel 10Easy MathematicsIf A is a subset of B, n(A) = 28, and n(B) = 64, how many elements are in the region B − A of the Venn diagram?Class 10SetsVenn DiagramsLevel 10Easy MathematicsIn a group of 80 students, 46 chose Mathematics, 39 chose Physics, and 22 chose both. How many students chose only Physics?Class 10SetsVenn DiagramsLevel 10Easy MathematicsIf n(A)=60, n(B)=55, and n(A∩B)=25, how many elements belong to exactly one set?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf only A, only B, only C, exactly two sets, and all three sets contain 16, 19, 14, 27, and 8 elements respectively, how many elements are in at least one set?Class 10SetsVenn DiagramsLevel 10Medium MathematicsIn a survey, the universal set U has 200 people, and 164 people belong to at least one of the sets A, B, or C. How many people belong to none of the three sets?Class 10SetsVenn DiagramsLevel 10Easy MathematicsIn a Venn diagram, n(A∩B∩C)=7, only A∩B is 9, only B∩C is 6, only C∩A is 5, and only A is 18. What is n(A)?Class 10SetsVenn DiagramsLevel 10Medium MathematicsIf n(A ∪ B ∪ C) = 100, n(A) = 50, n(B) = 45, n(C) = 40, n(A ∩ B) = 18, n(B ∩ C) = 15, and n(C ∩ A) = 12, what is n(A ∩ B ∩ C)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15Hard