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Operations On Sets Union Intersection Difference

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

MathematicsIf \(A=\{1,2,3,4,5,6\}\), \(B=\{2,4,6,8\}\), and \(C=\{1,2,8,9\}\), find \((A-B)\cup(A-C)\).Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf \(A\cup B=U\) and \(A\cap B=\varnothing\), then which set is equal to \(B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf \(A=\{1,2,3,4\}\), what are \(A\cup\varnothing\), \(A\cap\varnothing\), and \(A-\varnothing\), respectively?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10EasyMathematicsIf \(A\cap(B-C)=\varnothing\), what does this mean?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf \(A\) is the set of distinct letters in the English word MATHEMATICS and \(B\) is the set of distinct letters in the English word STATISTICS, what is \(A\cap B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf \(A=\{x:x=2k,\ k\in\mathbb{Z}\}\) and \(B=\{x:x=4k,\ k\in\mathbb{Z}\}\), which relation is correct?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf \(A=\{x\in\mathbb{N}:x\le 20,\ x\text{ is prime}\}\) and \(B=\{x\in\mathbb{N}:x<20,\ x\text{ is odd}\}\), what is \(A-B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf \(A=\{1,3,5,7,9\}\), \(B=\{2,3,5,8,9\}\), and \(C=\{3,4,5,9\}\), what is \(A\cap B\cap C\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10EasyMathematicsIf \(A\cap B=B\), which conclusion is correct?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10EasyMathematicsIf A ∪ B = A, which statement about B is correct?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10EasyMathematicsIf two sets A and B are disjoint, where n(A) = 15 and n(B) = 19, what is n(A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10EasyMathematicsIf n(A) = 52, n(B) = 47, n(A ∩ B) = 21, and n(U) = 80, what is n((A ∪ B)')?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16MediumMathematicsIf n(A − B) = 12, n(B − A) = 9, and n(A ∩ B) = 7, what is n(A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf A = {x ∈ ℝ : −3 ≤ x ≤ 2} and B = {x ∈ ℝ : −1 < x < 4}, what is A − B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16MediumMathematicsIf A = {x ∈ ℝ : 0 ≤ x < 3} and B = {x ∈ ℝ : 1 < x ≤ 5}, what is A ∪ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16MediumMathematicsIf A ∩ B = A ∩ C and A ∪ B = A ∪ C, which conclusion is correct?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10HardMathematicsIf A △ B = (A − B) ∪ (B − A), where A = {a, b, c, d} and B = {b, d, e, f}, find A △ B.Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf A − B = ∅ and B − A ≠ ∅, which conclusion is correct?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf A = {1, 2, 3, 4, 5}, B = {2, 4, 6, 8}, and C = {1, 4, 7, 8}, find A ∩ (B ∪ C).Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16HardMathematicsIf A ⊆ B, which set is equal to (A ∪ B) − (A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16Hard