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Operations On Sets Union Intersection Difference

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf n(A − B) = 41 and n(A ∩ B) = 22, what is n(A)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15Medium MathematicsIn a group, 52 people like apples, 47 like bananas, and 19 like both. How many people like only apples?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Easy MathematicsIn a class, 63 students learn dance, 58 learn music, and 26 learn both. How many students learn at least one art?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Easy MathematicsFor two sets A and B, n(A)=54, n(B)=61, and 73 elements belong to exactly one of the sets. What is n(A∩B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsA={5,10,15,20,25,30} and B={10,20,30,40}. What is A−B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15Easy MathematicsIf A={a,c,e,g,i} and B={b,c,d,g,j}, what is A∪B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15Easy MathematicsLet U={1,2,3,4,5,6,7,8,9,10,11,12}, A={2,4,6,8,10,12}, and B={3,4,6,9,12}. What is A∩B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15Easy MathematicsIf n(A−B)=38 and n(B−A)=27, what is n(A△B), the cardinality of the symmetric difference?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15Medium MathematicsIf n(B) = 66 and n(A ∩ B) = 31, how many elements are only in B, that is, in B but not in A?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15Medium MathematicsIf n(A) = 68, n(B) = 53, and n(A ∪ B) = 91, what is n(A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15Medium MathematicsIn a Venn diagram, n(A ∩ B) = 0 and n(A ∪ B) = 76. If n(A) = 31, what is n(B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14Medium MathematicsIf n(A union B) = 92, n(A − B) = 35, and n(A intersection B) = 24, what is n(B − A)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14Medium MathematicsIf n(A − B) = 32 and n(A intersection B) = 18, what is n(A)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14Medium MathematicsIf A and B are disjoint sets, which of the following statements is correct?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14Easy MathematicsIf n(A union B) = 97, n(A) = 63, and n(B − A) = 34, which conclusion about n(A intersection B) is correct?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14Hard MathematicsIn a class, 58 students learn music, 49 learn painting, and 22 learn both. How many students learn at least one of the two arts?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14Easy MathematicsIn a Venn diagram, what set is B ∩ Aᶜ equal to?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsLet A = {2,4,6,8,10,12} and B = {6,8,12,14}. What is A − B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14Easy MathematicsIf A = {a, b, d, f, h} and B = {b, c, d, g, h}, what is A ∩ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Easy MathematicsIf n(A − B) = 29 and n(B − A) = 17, what is n(A △ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium