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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 n(U) = 90, n(A) = 58, and n(B) = 49, what is the minimum possible value of n(A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15Hard MathematicsIf U = {1, 2, 3, ..., 64}, A is the set of square numbers in U, and B is the set of even numbers in U, then what is n(A ∩ B)?Class 10SetsVenn DiagramsLevel 10Easy MathematicsIf U = {1, 2, ..., 50}, A is the set of prime numbers and B is the set of multiples of 5, what is A ∩ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15Easy MathematicsIf U = {1, 2, ..., 120}, A is the set of multiples of 8 and B is the set of multiples of 12, choose the correct value of n((A ∪ B)').Class 10SetsComplement of a Set and Its PropertiesLevel 15Medium MathematicsIf U = {1, 2, ..., 120}, A is the set of multiples of 8 and B is the set of multiples of 12, what is n((A ∪ B)')?Class 10SetsComplement of a Set and Its PropertiesLevel 15Medium MathematicsIf U = {1, 2, ..., 105}, A is the set of multiples of 7 and B is the set of multiples of 15, what is n(A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15Medium MathematicsLet U = {1, 2, ..., 96}. If A is the set of multiples of 6 in U and B is the set of multiples of 10 in U, what is n(A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15Medium MathematicsIf U = {1, 2, ..., 96}, A is the set of multiples of 6 and B is the set of multiples of 10, then what is n(A ∪ B)?Class 10SetsVenn DiagramsLevel 15Medium MathematicsIf n(A − B) = 4x + 1, n(B − A) = 3x + 6, n(A ∩ B) = 2x + 5 and n(A ∪ B) = 120, then what is x?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15Hard MathematicsIf n(A) = 6x + 5, n(B) = 5x + 9, n(A ∩ B) = 3x + 4 and n(A ∪ B) = 106, then what is the value of x?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15Hard MathematicsFor three activities, n(A) = 84, n(B) = 77, n(C) = 73, n(A ∩ B) = 33, n(B ∩ C) = 28, n(C ∩ A) = 31 and n(A ∩ B ∩ C) = 13. How many students are only in A ∩ C, that is, in A and C but not in B?Class 10SetsVenn DiagramsLevel 15Hard MathematicsIf A ∩ B = ∅, n(A) = 57, n(B) = 46, and n(U) = 125, what is n((A ∪ B)′)?Class 10SetsComplement of a Set and Its PropertiesLevel 15Medium MathematicsIf A ⊆ B, n(A) = 52, n(B) = 91 and n(U) = 140, then what is n((B − A) ∪ B')?Class 10SetsVenn DiagramsLevel 15Hard MathematicsIf n(A) = 72, n(B) = 67, and n(A ∪ B) = 101, what is n(A △ B), the number of elements in the symmetric difference of A and B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15Medium MathematicsIn a class of 110 students, 68 study Biology, 57 study Chemistry, and 32 study both subjects. How many students study neither Biology nor Chemistry?Class 10SetsVenn DiagramsLevel 15Medium MathematicsIf n(A ∩ B') = 36, n(A' ∩ B) = 44, n(A ∩ B) = 25 and n((A ∪ B)') = 18, then what is n(U)?Class 10SetsVenn DiagramsLevel 15Medium MathematicsIf n(U) = 160, n(A′) = 63, n(B′) = 72, and n(A ∩ B) = 39, then what is n(A ∪ B)?Class 10SetsVenn DiagramsLevel 15Medium MathematicsIf n(A ∪ B) = 126, n(A − B) = 48, and n(B − A) = 41, then what is n(A ∩ B)?Class 10SetsVenn DiagramsLevel 15Medium MathematicsIn a Venn diagram, only A has 26 elements, only B has 31, only C has 24, only A ∩ B has 14, only B ∩ C has 16, only C ∩ A has 12, and all three have 9 elements. How many elements are in exactly one set?Class 10SetsVenn DiagramsLevel 15Medium MathematicsIf n(A) = 86, n(B) = 79, n(C) = 71, n(A ∩ B) = 34, n(B ∩ C) = 29, n(C ∩ A) = 27, and n(A ∩ B ∩ C) = 12, then how many elements are only in C?Class 10SetsVenn DiagramsLevel 15Hard