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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 − 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 10Medium MathematicsIf \(A=\{1,2,3,4,5,6\}\) and \(B=\{2,4,6\}\), what is \(n(\mathcal{P}(A\setminus B))\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf \(A=\{x\in\mathbb{R}:x^2\le 9\}\) and \(B=\{x\in\mathbb{R}:x^2<1\}\), what is \(A\setminus B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf \(A=\{x\in\mathbb{N}:x\le 10\}\), \(B=\{x\in\mathbb{N}:x\text{ is odd}\}\), 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 10Medium MathematicsIf \(A=\{x\in\mathbb{Z}\mid -3\le x\le 8\}\), \(B=\{x\in\mathbb{Z}\mid 0\le x\le 5\}\), 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 10Medium MathematicsIf \(A\) 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 10Medium MathematicsIf 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 17Medium MathematicsIf A − B = ∅ and B − C = ∅, which conclusion is correct?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf \(A=\{x\in\mathbb{Z}:-6\le x\le 6\}\) and \(B=\{x\in\mathbb{Z}:x^2<10\}\), what is \(A-B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf \(A=\{1,2,3,4,5,6\}\), \(B=\{2,4,6\}\), and \(C=\{1,3,5\}\), what is the value of \((A-B)\cap C\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf \(A=\{x\in\mathbb{N}:x\le25,\ x\text{ is prime}\}\) and \(B=\{x\in\mathbb{N}:x\le25,\ x\text{ is odd}\}\), what is \(B-A\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsWhich of the following statements is always true for sets?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Hard MathematicsIf \(A=\{x\in\mathbb{Z}:x^2-1=0\}\) and \(B=\{x\in\mathbb{Z}:x^2=1\}\), what is \(A-B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Easy MathematicsWhich option is equal to \((A\cup B)-A\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Easy MathematicsIf \(A=\{1,2,3,4,5\}\), \(B=\{3,4,5,6\}\), and \(C=\{5,6,7\}\), what is the value of \((A-B)\cup(B-C)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf \(A-B=\{p,q\}\), \(A\cap B=\{r,s,t\}\), and \(B-A=\{u\}\), what is the value of \(n(A)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf A = {x ∈ R : x² − 5x + 6 ≤ 0} and B = {x ∈ R : x < 4}, what is the difference set A − B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Hard 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 10Hard MathematicsIf 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 10Medium MathematicsIf \(A\cap B=\varnothing\), then which set is \(A-(A-B)\) equal to?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium