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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।

MathematicsWhich expression is equal to \(A\setminus(B\cup C)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Hard MathematicsWhich expression is equal to \(A\setminus(B\cap C)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Hard MathematicsIf \(A\setminus B=\varnothing\) and \(B\setminus A=\varnothing\), what is the relation between \(A\) and \(B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsAssume that \(\mathbb{N}=\{1,2,3,\ldots\}\). If \(A=\{x\in\mathbb{N}\mid x\le 12\}\) and \(B=\{x\in\mathbb{N}\mid x\text{ is prime}\}\), with \(B\) restricted to \(A\), what is \(A\setminus B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf \(A\cup B=A\cap B\), which of the following conclusions is always true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Hard MathematicsIf \(n(A)=30\), \(n(B)=24\), and \(n(A\setminus B)=18\), what is the value of \(n(A\cup B)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf \(A\cap B=A\) and \(A\cup B=B\), which of the following is the correct conclusion?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf \(A\subseteq B\), then what is \(A\cup(B\setminus A)\) equal to?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf \(U=\{1,2,\ldots,20\}\), \(A=\{x:x\in U,\ x\text{ is even}\}\), and \(B=\{x:x\in U,\ x\text{ is divisible by }3\}\), then what is \(n((A\cup B)')\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf A = {2, 4, 6, 8, 10, 12}, B = {3, 6, 9, 12, 15}, and C = {6, 12, 18}, what is (A ∩ B) − C?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf A = (−∞, 3] and B = [1, ∞), what is A ∪ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Easy MathematicsIf A = [−2, 4] and B = (1, 6), what is A ∩ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Easy MathematicsIf \(A=\{x\in\mathbb{Z}:-3\le x\le 5\}\) and \(B=\{x\in\mathbb{Z}:x^2\le 9\}\), what is \(A\setminus B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Easy MathematicsIf n(A − B) = 28 and n(A ∩ B) = 16, what is n(A)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Easy MathematicsIf n(A) = 42, n(B) = 35, and n(A ∪ B) = 60, what is n(A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf A ⊆ B and C ∩ B = ∅, then (A ∪ C) ∩ B is equal to which set?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsFor a universal set U with n(U) = 110, if n(A) = 64, n(B) = 57, and n(A ∩ B) = 29, what is n((A ∪ B)′)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf A = {x ∈ ℝ : −3 ≤ x < 5}, B = {x ∈ ℝ : 1 < x ≤ 8}, and C = {x ∈ ℝ : x ≤ 2}, what is (A ∪ B) ∩ C?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf A = {x ∈ ℤ : −7 ≤ x ≤ 7}, B = {x ∈ ℤ : x² ≤ 16}, and C = {x ∈ ℤ : 3 divides x}, what is (A − B) ∩ C?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Hard MathematicsIf n(A ∪ B ∪ C) = 88, n(A − B) = 19, n(B − A) = 24, n(A ∩ B) = 13, and C − (A ∪ B) has 32 elements, what is n((A ∪ B) − C) if C has no element of A ∪ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Hard