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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)=82, n(B)=77, n(C)=69, n(A∪B∪C)=151, n(A∩B)=32, n(B∩C)=28, and n(C∩A)=25, what is n(A∩B∩C)?Class 10SetsVenn DiagramsLevel 15Hard MathematicsIf only A∩B has 19 elements, only B∩C has 17 elements, only C∩A has 21 elements, and A∩B∩C has 11 elements, how many elements are in at least two sets?Class 10SetsVenn DiagramsLevel 15Medium MathematicsIn an exam, among 180 students, 97 solved A, 88 solved B, 82 solved C, 41 solved A and B, 36 solved B and C, 34 solved C and A, and 18 solved all three. How many solved at least one question?Class 10SetsVenn DiagramsLevel 10Hard MathematicsIn a library, among 150 students, 83 read novels, 69 read poetry, and 28 read neither. How many read both?Class 10SetsVenn DiagramsLevel 10Medium MathematicsIf n(A) = 69, n(B) = 74, and n(A − B) = 28, what is n(A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15Medium 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 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) = 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 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 MathematicsAssertion: n(A ∪ B) = n(A) + n(B) − n(A ∩ B). Reason: Elements of A ∩ B are counted twice in n(A) + n(B). Choose the correct option.Class 10SetsVenn DiagramsLevel 14Medium MathematicsIf n(A ∪ B ∪ C) = 160, n(A) = 70, n(B) = 75, n(C) = 80 and n(A ∩ B ∩ C) = 18, then what is n(A ∩ B) + n(B ∩ C) + n(C ∩ A)?Class 10SetsVenn DiagramsLevel 14Medium MathematicsIf n(A ∩ (B ∪ C)) = 44, only (A ∩ B) contains 18 elements and only (A ∩ C) contains 16 elements, then what is n(A ∩ B ∩ C)?Class 10SetsVenn DiagramsLevel 14Medium MathematicsSuppose n(A)=70, n(B)=65, n(C)=60, n(A ∪ B ∪ C)=128, n(A ∩ B)=27, n(B ∩ C)=24, and n(C ∩ A)=22. Which conclusion is mathematically correct?Class 10SetsVenn DiagramsLevel 14Hard MathematicsIf only A has 31 elements, only B has 27 elements, only C has 25 elements, the total of the exactly-two-set regions is 42, and all three sets have 11 elements, then what is n(A ∪ B ∪ C)?Class 10SetsVenn DiagramsLevel 14Medium MathematicsIn an exam, 82 students solved question A, 76 solved B, 69 solved C, 37 solved both A and B, 32 solved both B and C, 29 solved both C and A, and 15 solved all three. How many solved at least one question?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14Hard MathematicsIn a survey of 120 people, 66 read a newspaper, 58 read a magazine, and 24 read neither. How many read both?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14Medium MathematicsIf n(U) = 75, n(A) = 46, and n(B) = 41, what is the minimum possible value of n(A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsLet U = {1, 2, ..., 90}. If A is the set of multiples of 5 and B is the set of multiples of 9, what is n(A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14Medium