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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 U = {1, 2, ..., 36}, A is the set of square numbers and B is the set of multiples of 3, what is n(A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Easy MathematicsIf U = {1, 2, ..., 40}, A is the set of prime numbers and B is the set of even numbers, what is A ∩ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Easy MathematicsIf U = {1, 2, ..., 84}, A is the set of multiples of 7 and B is the set of multiples of 4, what is n((A ∪ B)')?Class 10SetsVenn DiagramsLevel 10Medium MathematicsIf n(A ∪ B ∪ C) = 135, exactly one set contains 58 elements, and exactly two sets contain 49 elements, what is n(A ∩ B ∩ C)?Class 10SetsVenn DiagramsLevel 14Medium MathematicsIn three clubs, n(A) = 72, n(B) = 68, n(C) = 61, n(A ∩ B) = 29, n(B ∩ C) = 24, n(C ∩ A) = 26, and n(A ∩ B ∩ C) = 11. How many members are only in B?Class 10SetsVenn DiagramsLevel 14Hard MathematicsIf A ⊆ B, n(B) = 83, n(A) = 47, and n(U) = 120, what is n(B − A)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14Easy MathematicsIn a class of 95 students, 56 study Mathematics, 49 study Science, and 27 study both subjects. How many students study exactly one subject?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14Medium MathematicsIf n(A∩B′)=29, n(A′∩B)=33, n(A∩B)=17, and n((A∪B)′)=21, what is n(U)?Class 10SetsVenn DiagramsLevel 10Medium MathematicsIf n(U)=140, n(A′)=58, n(B′)=71, and n(A∩B)=34, what is n(A∪B)?Class 10SetsVenn DiagramsLevel 10Medium MathematicsIf n(A∪B)=112, n(A−B)=43, and n(B−A)=37, what is n(A∩B)?Class 10SetsVenn DiagramsLevel 10Easy MathematicsIn a Venn diagram, only A has 18 elements, only B has 22, only C has 16, only A∩B has 11, only B∩C has 13, only C∩A has 9, and all three have 6 elements. How many elements are in at least two sets?Class 10SetsVenn DiagramsLevel 10Easy MathematicsIf n(A)=78, n(B)=69, n(C)=63, n(A∩B)=30, n(B∩C)=25, n(C∩A)=21, and n(A∩B∩C)=9, how many elements are only in set A?Class 10SetsVenn DiagramsLevel 10Medium MathematicsIn a survey, n(U)=210, n(A)=96, n(B)=88, n(C)=74, n(A∩B)=39, n(B∩C)=31, n(C∩A)=28, and n(A∩B∩C)=14. How many people are in none of the sets?Class 10SetsVenn DiagramsLevel 10Medium MathematicsLet U={1,2,...,60}, A be the set of multiples of 3, and B be the set of multiples of 4. What is n((A∪B)′)?Class 10SetsVenn DiagramsLevel 10Medium MathematicsIf n(A)=4x+5, n(B)=3x+8, n(A∩B)=2x+1, and n(A∪B)=72, what is the value of x?Class 10SetsVenn DiagramsLevel 10Medium MathematicsIf only A has 21 elements, only B has 24, only C has 18, only A∩B has 13, only B∩C has 11, only C∩A has 9, and all three sets have 7 elements, how many elements belong to exactly two sets?Class 10SetsVenn DiagramsLevel 10Easy MathematicsIn a survey, n(U)=180, n(A)=82, n(B)=76, n(C)=69, n(A∩B)=34, n(B∩C)=29, n(C∩A)=27, and n(A∩B∩C)=12. How many people are in none of the sets?Class 10SetsVenn DiagramsLevel 10Medium MathematicsIf n(A ∪ B ∪ C) = 140, exactly one set has 65 elements and exactly two sets have 51 elements, what is n(A ∩ B ∩ C)?Class 10SetsVenn DiagramsLevel 11Hard MathematicsIn a Venn diagram, n(A ∩ B) = 14 and n(A ∩ B ∩ C) = 6. How many elements are only in A ∩ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11Medium MathematicsIf n(A − B) = 18, n(B − C) = 25, and n(C − A) = 20, can n(A ∪ B ∪ C) be determined uniquely from only these data?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11Hard