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Class 10 Mcq

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

MathematicsWhich formula correctly gives the number of elements belonging to exactly two of three sets?Class 10SetsVenn DiagramsLevel 15HardMathematicsIf n(A Δ B) = 54 and n(A ∩ B) = 19, what is n(A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15MediumMathematicsIn a Venn diagram, n(A ∪ B) = 70, n(A − B) = 24, and n(B − A) = 31. What is n(A ∩ B)?Class 10SetsVenn DiagramsLevel 15EasyMathematicsIf n(A′) = 35, n(B′) = 42, n(U) = 80, and n(A ∩ B) = 25, what is n(A′ ∩ B′)?Class 10SetsComplement of a Set and Its PropertiesLevel 15MediumMathematicsIf n(U) = 100, n(A) = 48, n(B) = 52, and n(A′ ∩ B′) = 18, what is n(A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15MediumMathematicsIn a Venn diagram, why must expressions such as n(A−B)=18, n(B−C)=26, and n(C−A)=21 be handled carefully?Class 10SetsVenn DiagramsLevel 10HardMathematicsIf n(A−B)=23, n(B−A)=17, and n(A∩B)=12, what is n(A∪B)?Class 10SetsVenn DiagramsLevel 10MediumMathematicsIf A∩B=∅, n(A)=31, and n(B)=44, what is n(A∪B)?Class 10SetsVenn DiagramsLevel 10EasyMathematicsIf A is a subset of B, n(A) = 28, and n(B) = 64, how many elements are in the region B − A of the Venn diagram?Class 10SetsVenn DiagramsLevel 10EasyMathematicsIn a group of 80 students, 46 chose Mathematics, 39 chose Physics, and 22 chose both. How many students chose only Physics?Class 10SetsVenn DiagramsLevel 10EasyMathematicsIf n(A)=60, n(B)=55, and n(A∩B)=25, how many elements belong to exactly one set?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf only A, only B, only C, exactly two sets, and all three sets contain 16, 19, 14, 27, and 8 elements respectively, how many elements are in at least one set?Class 10SetsVenn DiagramsLevel 10MediumMathematicsIn a survey, the universal set U has 200 people, and 164 people belong to at least one of the sets A, B, or C. How many people belong to none of the three sets?Class 10SetsVenn DiagramsLevel 10EasyMathematicsIn a Venn diagram, n(A∩B∩C)=7, only A∩B is 9, only B∩C is 6, only C∩A is 5, and only A is 18. What is n(A)?Class 10SetsVenn DiagramsLevel 10MediumMathematicsIf n(A ∪ B ∪ C) = 100, n(A) = 50, n(B) = 45, n(C) = 40, n(A ∩ B) = 18, n(B ∩ C) = 15, and n(C ∩ A) = 12, what is n(A ∩ B ∩ C)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15HardMathematicsFor three sets, n(A) = 40, n(B) = 38, n(C) = 35, n(A ∩ B) = 14, n(B ∩ C) = 12, n(C ∩ A) = 10, and n(A ∩ B ∩ C) = 5. What is n(A ∪ B ∪ C)?Class 10SetsVenn DiagramsLevel 15HardMathematicsIf n(U) = 150 and n(A ∪ B) = 118, what is the number of elements in (A ∪ B)ᶜ?Class 10SetsComplement of a Set and Its PropertiesLevel 15EasyMathematicsIn a class, n(U) = 90, n(A) = 52, n(B) = 47, and n(A ∩ B) = 24. How many students are in neither A nor B?Class 10SetsVenn DiagramsLevel 15MediumMathematicsIf n(A ∪ B) = 96, n(A) = 58, and n(B) = 49, find n(A ∩ B).Class 10SetsVenn DiagramsLevel 14EasyMathematicsIn a survey, n(U) = 120, n(A) = 72, n(B) = 65, and n(A ∩ B) = 38. How many students are only in A?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15Easy

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