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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) = 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 MathematicsIf n(A ∩ B′) = 18, n(A′ ∩ B) = 22, n(A ∩ B) = 16, and n(U) = 75, what is n(A′ ∩ B′)?Class 10SetsVenn DiagramsLevel 15Medium MathematicsIf n(A ∩ B′) = 29, n(A′ ∩ B) = 34, and n(A ∩ B) = 21, what is n(A ∪ B)?Class 10SetsVenn DiagramsLevel 15Medium MathematicsIf A and B partially overlap, how are A − B, A ∩ B, and B − A represented in the Venn diagram?Class 10SetsVenn DiagramsLevel 15Medium MathematicsIf A ⊆ B, what are A ∪ B and A ∩ B, respectively?Class 10SetsVenn DiagramsLevel 15Easy MathematicsIf n(A ∪ B) = n(A) + n(B), what is the correct conclusion about A and B in a Venn diagram?Class 10SetsVenn DiagramsLevel 15Medium MathematicsIf 60% of students are in A, 50% are in B, and 25% are in both A and B, what percentage are in exactly one of the two sets?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15Medium MathematicsIn a group, 35% of people are in A, 48% are in B, and 20% are in both. What percentage is in at least one of the two sets?Class 10SetsVenn DiagramsLevel 15Medium MathematicsIn a school of 120 students, 68 chose A, 57 chose B, and 31 chose both. What percentage chose at least one of A or B?Class 10SetsVenn DiagramsLevel 15Medium MathematicsIf n(A) = 4x + 6, n(B) = 3x + 9, n(A ∩ B) = 2x + 5, and n(A ∪ B) = 80, find x.Class 10SetsVenn DiagramsLevel 15Hard MathematicsIf n(A) = 3x + 8, n(B) = 2x + 17, n(A ∩ B) = x + 5, and n(A ∪ B) = 60, what is x?Class 10SetsVenn DiagramsLevel 15Hard MathematicsIf n(A − B) = x + 4, n(B − A) = 2x − 1, n(A ∩ B) = x + 3, and n(A ∪ B) = 46, what is the value of x?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15Medium MathematicsIf n(A − B) = x + 5, n(B − A) = 2x − 3, n(A ∩ B) = x + 1, and n(A ∪ B) = 43, what is the value of x?Class 10SetsVenn DiagramsLevel 15Hard MathematicsIn a Venn diagram, the shaded region is outside both A and B. Which representation is correct?Class 10SetsVenn DiagramsLevel 15Medium MathematicsIn a Venn diagram, the shaded region is inside A and outside B. How is it represented?Class 10SetsVenn DiagramsLevel 15Easy MathematicsIf A ∩ B = ∅ and B ∩ C = ∅, is it necessary that A ∩ C = ∅?Class 10SetsVenn DiagramsLevel 15Medium MathematicsIf in the Venn diagram of A and B, the circle of A lies completely inside the circle of B, which statement is necessarily true?Class 10SetsVenn DiagramsLevel 15Easy MathematicsIf n(A) = 70, n(B) = 62, n(C) = 58, n(A ∩ B) = 30, n(B ∩ C) = 24, n(C ∩ A) = 26, n(A ∩ B ∩ C) = 12, and n(U) = 130, how many elements are in none of the sets?Class 10SetsVenn DiagramsLevel 15Hard MathematicsIn a survey there are 45 people in set A, 50 in B, and 42 in C; n(A ∩ B)=18, n(B ∩ C)=20, n(C ∩ A)=16, and 7 people are in all three. How many people are only in A?Class 10SetsVenn DiagramsLevel 15Hard