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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(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 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 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)=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 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(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 MathematicsIn a survey of 160 people, 92 have a mobile phone, 78 have a laptop, and 51 have both. How many people have exactly one of the two devices?Class 10SetsEqual sets and SubsetsLevel 10Medium 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 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 MathematicsIf A ∩ B ∩ C = ∅, n(A) = 30, n(B) = 34, n(C) = 36, n(A ∩ B) = 8, n(B ∩ C) = 10, and n(C ∩ A) = 6, what is n(A ∪ B ∪ C)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11Medium MathematicsGiven n(U) = 95, n(A′) = 47, n(B′) = 52, and n(A ∩ B) = 18, what is n(A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11Medium MathematicsIn a survey, n(M) = 60, n(P) = 54, n(C) = 50, n(M ∩ P) = 25, n(P ∩ C) = 22, n(C ∩ M) = 20, and n(M ∩ P ∩ C) = 10. How many study only M?Class 10SetsVenn DiagramsLevel 10Hard MathematicsIf n(U) = 110, n(A) = 58, n(B) = 49, and n(A − B) = 21, choose the correct value of n((A ∪ B)′).Class 10SetsVenn DiagramsLevel 11Medium MathematicsIn an examination group of 120 students, 72 study Mathematics, 64 study Physics, and 38 study both subjects. How many study exactly one subject?Class 10SetsVenn DiagramsLevel 10Medium MathematicsIn a survey, n(U) = 120, n(A) = 62, n(B) = 55, and n(A ∪ B) = 91. According to the Venn diagram, what is n(A ∩ B)?Class 10SetsVenn DiagramsLevel 13Medium MathematicsIf n(U) = 250, n(A) = 120, n(B) = 110, n(C) = 95, n(A ∩ B) = 52, n(B ∩ C) = 41, n(C ∩ A) = 37, and n(A ∩ B ∩ C) = 19, what is the number of elements not in at least one set?Class 10SetsVenn DiagramsLevel 15Hard MathematicsIf n(A) = 55, n(B) = 60, n(C) = 65, n(A ∪ B ∪ C) = 120, and n(A ∩ B) + n(B ∩ C) + n(C ∩ A) = 78, what is n(A ∩ B ∩ C)?Class 10SetsVenn DiagramsLevel 15Hard MathematicsIn the Venn diagram of A, B, and C, only A ∩ B has 11 elements, only B ∩ C has 13, only C ∩ A has 9, and all three have 4. What is n(A ∩ B) + n(B ∩ C) + n(C ∩ A)?Class 10SetsVenn DiagramsLevel 15Hard