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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 n(A) = 40, n(B) = 36, n(C) = 28, n(A ∩ B) = 14, n(B ∩ C) = 10, n(C ∩ A) = 12, and n(A ∩ B ∩ C) = 5, then what is n((A ∪ B ∪ C) − C)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10HardMathematicsIf A, B, and C are sets such that A − B = A − C and A ∩ B = A ∩ C, which statement is correct with respect to A?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10HardMathematicsIf A = {1, 2, 3, 4, 5}, B = {2, 3, 6}, and C = {3, 4, 7}, what is the value of A − (B ∩ C)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf \(A=\{x\in\mathbb{N}:x\le30,\ 2\mid x\}\) and \(B=\{x\in\mathbb{N}:x\le30,\ 3\mid x\}\), what is \(A\cap B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf \(A=\{x\in\mathbb{N}:x\le 15\}\), \(B=\{x\in\mathbb{N}:3\mid x\}\), and \(C=\{x\in\mathbb{N}:5\mid x\}\), where \(\mathbb{N}=\{1,2,3,\ldots\}\), what is \(A\cap(B\cup C)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsWhich of the following sets is equivalent to \(A\cup(B\cap C)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsWhich of the following expressions is equivalent to \(A\cap(B\cup C)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf \(A\cap B=\varnothing\), then which set is \(A-(A-B)\) equal to?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf \(A=\{1,2,3,4,5,6,7,8\}\) and \(B=\{2,4,6,8,10\}\), what is \((A\cup B)-(A\cap B)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf \(n(A\cup B)=75\), \(n(A-B)=28\), and \(n(B-A)=31\), what is \(n(A\cap B)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf \(A=\{1,2,3,4\}\) and \(B=\{3,4,5,6\}\), how many elements are there in the power set \(\mathcal{P}(A-B)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf \(A\cup B=A\cap B\), what conclusion follows?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16MediumMathematicsIf \(A-B=B-A\), which conclusion is correct?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16MediumMathematicsIf \(A-B=A\), which statement is correct?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16MediumMathematicsIf \(A=\{x\in\mathbb{R}:x<0\}\) and \(B=\{x\in\mathbb{R}:x^2\le4\}\), what is \(A\cup B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16MediumMathematicsIf \(A=\{x\in\mathbb{R}:x^2<9\}\) and \(B=\{x\in\mathbb{R}:x\ge1\}\), what is \(A-B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16MediumMathematicsIf \(A=\{x\in\mathbb{N}:x\mid18\}\) and \(B=\{x\in\mathbb{N}:x\mid24\}\), what is \(A\cup B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16EasyMathematicsIf \(A=\{x\in\mathbb{N}:x\mid36\}\) and \(B=\{x\in\mathbb{N}:x\mid48\}\), what is \(A\cap B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16EasyMathematicsIf \(A=\{x\in\mathbb{Z}: |x|\le 3\}\) and \(B=\{x\in\mathbb{Z}: x^2-2x\le 0\}\), find \(A\cap B\).Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16MediumMathematicsIf \(A=\{2,3,5,7,11,13\}\) and \(B=\{x\in A:x>5\}\), find \(A\cap B\).Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Easy