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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 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 11MediumMathematicsAmong 100 students, 40 are only in A, 28 are only in B, and 12 are in both. How many are in at least one set?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11EasyMathematicsIn a survey of 90 people, 52 like tea, 47 like coffee, and 25 like both. How many like neither tea nor coffee?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11MediumMathematicsIf n(A ∩ B') = 24, n(A' ∩ B) = 31, and n(A ∩ B) = 16, what is n(A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11MediumMathematicsIf n(U) = 95, n(A') = 47, n(B') = 52, and n(A ∩ B) = 18, choose the correct value of n(A ∪ B).Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11MediumMathematicsGiven 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 11MediumMathematicsIf only A has 12, only B has 15, only C has 18, only A ∩ B has 9, only B ∩ C has 7, only C ∩ A has 6, and A ∩ B ∩ C has 4, what is n(A ∩ (B ∪ C))?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10HardMathematicsIf n(A) = 45, n(B) = 52 and n(A ∪ B) = 73, what is n(A △ B), where A △ B = (A − B) ∪ (B − A)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10HardMathematicsIf A ⊆ B, n(A) = 32, n(B) = 57 and n(U) = 90, then what is n(B − A)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf n(A ∪ B) = 88, n(A ∩ B) = 26, and n(A − B) = 35, what is n(B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15MediumMathematicsIf 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 15MediumMathematicsIf 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 15MediumMathematicsIf n(A Δ B) = 54 and n(A ∩ B) = 19, what is n(A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 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 15MediumMathematicsIf 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 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 15HardMathematicsIn 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 15EasyMathematicsIf n(A ∩ B) = 45, n(A ∩ C) = 38, n(B ∩ C) = 35, and n(A ∩ B ∩ C) = 16, how many elements are in exactly two sets?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14HardMathematicsIf A and B are two overlapping sets, what is A − (A ∩ B) equal to?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14MediumMathematicsIf n(A ∪ B) = 139, n(A) = 82, n(B) = 76, and n(U) = 190, what is n(Aᶜ ∪ Bᶜ)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14Hard

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