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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, B, and C satisfy A ⊆ B ⊆ C, then (C − A) − (B − A) is equal to which set?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf n(A − B) = 17, n(B − C) = 22, and B − C has 6 elements common with A, what is n((A − B) ∪ (B − C))?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf \(A=\{1,2,3,4,5,6\}\) and \(B=\{2,4,6\}\), what is \(n(\mathcal{P}(A\setminus B))\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf \(A=\{1,2,3\}\) and \(B=\{2,3,4,5\}\), how many elements does \(\mathcal{P}(A\cup B)\) contain?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf \(A=\{x\in\mathbb{R}:x^2\le 9\}\) and \(B=\{x\in\mathbb{R}:x^2<1\}\), what is \(A\setminus B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf \(A=\{x\in\mathbb{R}:x^2-4x+3>0\}\) and \(B=\{x\in\mathbb{R}:x>1\}\), what is \(A\cap B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10HardMathematicsIf \(A\cup B=A\cup C\) and \(A\cap B=A\cap C\), which of the following is correct?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10HardMathematicsIf \(A=\{x\in\mathbb{N}:x\le 10\}\), \(B=\{x\in\mathbb{N}:x\text{ is odd}\}\), and \(C=\{x\in\mathbb{N}:x\text{ is prime}\}\), what is \(A\cap(B\setminus C)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf \(A=\{x\in\mathbb{Z}\mid -3\le x\le 8\}\), \(B=\{x\in\mathbb{Z}\mid 0\le x\le 5\}\), and \(C=\{x\in\mathbb{Z}\mid x\text{ is even}\}\), what is \((A\setminus B)\cap C\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf \(A=\{1,2,4,8,16\}\), \(B=\{1,3,9,27\}\), and \(C=\{1,5,25\}\), what is \((A\cap B)\cup(B\cap C)\cup(C\cap A)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf \(n(U)=120\), \(n(A)=70\), \(n(B)=65\), and \(n(A\cap B)=40\), what is the value of \(n(A'\cap B')\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf \(A\) and \(B\) are sets such that \(A\cap B=\varnothing\), what is the value of \((A\cup B)\setminus B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf A = {x ∈ R : 1 ≤ x ≤ 9} and B = {x ∈ R : 3 < x < 7}, what is A − B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17MediumMathematicsIf A − B = ∅ and B − C = ∅, which conclusion is correct?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17MediumMathematicsIf A △ B = (A − B) ∪ (B − A), n(A △ B) = 26, and n(A ∩ B) = 9, what is n(A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17HardMathematicsIf \(A=\{x\in\mathbb{Z}:-6\le x\le 6\}\) and \(B=\{x\in\mathbb{Z}:x^2<10\}\), what is \(A-B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17MediumMathematicsIf \(A=\{1,2,3,4,5,6\}\), \(B=\{2,4,6\}\), and \(C=\{1,3,5\}\), what is the value of \((A-B)\cap C\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17MediumMathematicsIf A ∪ B = B and A ∩ C = C, which statement must be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17MediumMathematicsIf A = {x ∈ R : x ≤ 1} and B = {x ∈ R : x > −2}, what is A ∩ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17MediumMathematicsIf U = {1, 2, ..., 20}, A = {x ∈ U : 2 divides x}, and B = {x ∈ U : 5 divides x}, what is (A ∪ B)'?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium