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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 only n(A − B) = 42, n(B − C) = 35, and n(C − A) = 31 are given, which conclusion cannot always be assumed true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14Hard MathematicsIn U = {1, 2, 3, ..., 70}, 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 14Easy MathematicsU = {1, 2, 3, ..., 36}, A = {x : x is divisible by 2}, and B = {x : x is divisible by 3}. What is n(A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14Medium MathematicsIf n(A) = 94, n(A ∩ B) = 40, n(A ∩ C) = 37, and n(A ∩ B ∩ C) = 16, how many elements belong only to A?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf A ⊆ B ⊆ C, n(C) = 132, n(B) = 84, and n(A) = 37, what is n(C − A)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf A and B are two overlapping circles in a Venn diagram, what is A − (A ∩ B) equal to?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Easy MathematicsIn a Venn diagram, what set is (A ∩ B) ∪ (A ∩ Bᶜ) equal to?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11Easy MathematicsIf n(A ∪ B ∪ C) = 128, 63 elements are in exactly one set, and 11 are in all three sets, how many elements are in exactly two sets?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf n(A) = 48, n(B) = 52, n(A − B) = 17, and n(B − A) = 21, what is n(A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Hard MathematicsGiven n(A − B) = 34, n(B − C) = 41, and n(C − A) = 29, which conclusion cannot always be assumed to be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11Hard MathematicsLet \(U=\{1,2,3,\ldots,60\}\), \(A=\{x:x\text{ is divisible by }2\}\), \(B=\{x:x\text{ is divisible by }3\}\), and \(C=\{x:x\text{ is divisible by }5\}\). What is \(n(A\cap B\cap C)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11Medium MathematicsLet U = {1, 2, 3, ..., 50}, A be the set of prime numbers, and B be the set of even numbers. What is A ∩ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11Medium MathematicsLet \(U=\{1,2,3,\ldots,40\}\), \(A=\{x:x\text{ is divisible by }4\}\), and \(B=\{x:x\text{ is divisible by }5\}\). What is \(n(A\cup B)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11Medium MathematicsLet \(U=\{1,2,3,\ldots,30\}\), \(A=\{x:x\text{ is a multiple of }2\}\), and \(B=\{x:x\text{ is a multiple of }3\}\). What is \(n(A\cap B)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11Medium MathematicsIf A ⊆ B, n(A) = 38, n(B) = 91, and n(U) = 130, what is n(Bᶜ)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11Medium MathematicsIf n(A ∪ B) = 126, n(A − B) = 47, and n(B − A) = 39, what is n(A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11Medium MathematicsIn three sets, only A = 19, only B = 23, only C = 17, only A ∩ B = 8, only B ∩ C = 10, only C ∩ A = 6, and A ∩ B ∩ C = 5. What is n(B ∪ C)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15Medium MathematicsIn a Venn diagram, n(A ∩ B) = 0 and n(A ∪ B) = 92. If n(A) = 40, what is n(B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15Easy MathematicsIf n(U) = 125, n(A) = 62, n(B) = 55, and n((A ∪ B)ᶜ) = 24, what is n(A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15Medium MathematicsIf n(A ∪ B) = 104, n(A − B) = 46, and n(A ∩ B) = 25, what is n(B − A)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15Medium