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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।

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)Medium 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 DiagramsMedium MathematicsIf n(A − B) = 4x + 1, n(B − A) = 3x + 6, n(A ∩ B) = 2x + 5 and n(A ∪ B) = 120, then what is x?Class 10SetsOperations on Sets (Union, Intersection, Difference)Hard 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)Hard MathematicsFor three activities, n(A) = 84, n(B) = 77, n(C) = 73, n(A ∩ B) = 33, n(B ∩ C) = 28, n(C ∩ A) = 31 and n(A ∩ B ∩ C) = 13. How many students are only in A ∩ C, that is, in A and C but not in B?Class 10SetsVenn DiagramsHard MathematicsIf A ∩ B = ∅, n(A) = 57, n(B) = 46, and n(U) = 125, what is n((A ∪ B)′)?Class 10SetsComplement of a Set and Its PropertiesMedium MathematicsIf A ⊆ B, n(A) = 52, n(B) = 91 and n(U) = 140, then what is n((B − A) ∪ B')?Class 10SetsVenn DiagramsHard MathematicsIf n(A) = 72, n(B) = 67, and n(A ∪ B) = 101, what is n(A △ B), the number of elements in the symmetric difference of A and B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Medium 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 DiagramsMedium MathematicsIf n(A ∩ B') = 36, n(A' ∩ B) = 44, n(A ∩ B) = 25 and n((A ∪ B)') = 18, then what is n(U)?Class 10SetsVenn DiagramsMedium MathematicsIf n(U) = 160, n(A′) = 63, n(B′) = 72, and n(A ∩ B) = 39, then what is n(A ∪ B)?Class 10SetsVenn DiagramsMedium MathematicsIf n(A ∪ B) = 126, n(A − B) = 48, and n(B − A) = 41, then what is n(A ∩ B)?Class 10SetsVenn DiagramsMedium MathematicsIn a Venn diagram, only A has 26 elements, only B has 31, only C has 24, only A ∩ B has 14, only B ∩ C has 16, only C ∩ A has 12, and all three have 9 elements. How many elements are in exactly one set?Class 10SetsVenn DiagramsMedium MathematicsIf n(A) = 86, n(B) = 79, n(C) = 71, n(A ∩ B) = 34, n(B ∩ C) = 29, n(C ∩ A) = 27, and n(A ∩ B ∩ C) = 12, then how many elements are only in C?Class 10SetsVenn DiagramsHard MathematicsIn a survey, n(U) = 240, n(A) = 112, n(B) = 104, n(C) = 93, n(A ∩ B) = 46, n(B ∩ C) = 38, n(C ∩ A) = 35, and n(A ∩ B ∩ C) = 17. How many elements are in none of the sets?Class 10SetsVenn DiagramsHard MathematicsIf n(A ∪ B ∪ C) = 155, n(A ∪ B) = 118, n(B ∪ C) = 124, n(C ∪ A) = 121, and n(B) = 64, then what is n((A ∩ C) − B)?Class 10SetsVenn DiagramsHard MathematicsIn a Venn diagram, n(A ∪ B ∪ C) = 190 and n((A ∪ B ∪ C)′) = 25. What is n(U)?Class 10SetsVenn DiagramsEasy MathematicsAssertion: If A ∩ B = ∅, then n(A ∪ B) = n(A) + n(B). Reason: Disjoint sets have no common elements or common region. Choose the correct option.Class 10SetsVenn DiagramsMedium 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 DiagramsMedium MathematicsIf only n(A−B)=20, n(B−C)=18, and n(C−A)=16 are given, can n(A ∪ B ∪ C) be determined uniquely?Class 10SetsOperations on Sets (Union, Intersection, Difference)Hard