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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।

MathematicsLet U = {1, 2, ..., 72}. If A is the set of multiples of 6 and B is the set of multiples of 8, what is n(A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14Easy MathematicsIf n(A − B) = 3x + 2, n(B − A) = 2x + 5, n(A ∩ B) = x + 4, and n(A ∪ B) = 71, what is x?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14Medium MathematicsIf n(A) = 5x + 4, n(B) = 4x + 7, n(A ∩ B) = 2x + 3, and n(A ∪ B) = 78, what is the value of x?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14Medium MathematicsIf A ∩ B = ∅, n(A) = 44, n(B) = 52, and n(U) = 130, what is n((A ∪ B)′)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14Medium 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 MathematicsIf n(A) = 64, n(B) = 59, and n(A ∪ B) = 91, what is n(A △ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14Medium 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 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 MathematicsIf n(A) = 30, n(B) = 28, and n(A ∪ B) = 52, what is n(A − B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11Medium MathematicsIf n(A) = 46 and n(B) = 39, what is the maximum possible value of n(A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11Easy MathematicsIf n(U) = 100, n(A) = 64, and n(B) = 58, what is the minimum possible value of n(A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11Medium MathematicsIf n(U) = 60, n(A) = 35, and n(B) = 32, what is the minimum possible value of n(A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11Hard MathematicsOut of 70 students, 45 study Hindi, 40 study English, and 30 study both languages. How many students study at least one of the two languages?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11Easy MathematicsIf n(A ∪ B) = 84 and n(A ∩ B) = 27, what is n(A − B) + n(B − A)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11Medium MathematicsLet U = {1, 2, ..., 50}. If A is the set of multiples of 4 in U and B is the set of multiples of 6 in U, what is n(A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11Easy MathematicsLet U = {1, 2, ..., 30}. If A is the set of multiples of 2 in U and B is the set of multiples of 5 in U, what is n(A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11Medium MathematicsLet U = {1, 2, ..., 20}, A be the set of prime numbers in U, and B be the set of odd numbers in U. What is A − B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11Easy MathematicsLet A = {x ∈ N : x ≤ 12}, B be the set of even natural numbers not exceeding 12, and C be the set of multiples of 3 not exceeding 12. What is n(B ∩ C)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11Easy MathematicsIf n(A ∪ B ∪ C) = 118, n(A) = 45, n(B) = 50, n(C) = 55, n(A ∩ B) = 18, n(B ∩ C) = 20, and n(C ∩ A) = 16, what is n(A ∩ B ∩ C)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11Hard