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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 A = {x ∈ Z : |x| ≤ 4} and B = {x ∈ Z : x² − 2x − 3 = 0}, how many elements does A \ B contain?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf A ∩ B = B, which statement about A \ B is not definitely true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf \(A\cup B=A\), what is the value of \(B\setminus A\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf (A \ B = {2, 5}), (B \ A = {7}), and (A ∩ B = {1, 3}), then what is (A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf A = {1, 3, 5, 7, 9}, B = {3, 6, 9}, and C = {1, 2, 3, 4}, what is (A ∪ B) \ C?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf A = {x ∈ R : −1 < x ≤ 5} and B = {x ∈ R : 2 ≤ x < 7}, then what is A \ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf U = {1, 2, ..., 30}, A = {x : x ∈ U, 2 divides x}, and B = {x : x ∈ U, 5 divides x}, then what is n(A \ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium 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 = {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 \(A=\{x\in\mathbb{Z}:-3\le x\le 5\}\) 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 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 MathematicsIf \(A=\{x\in\mathbb{R}:x\ge 2\}\), \(B=\{x\in\mathbb{R}:x<6\}\), and \(C=\{x\in\mathbb{R}:x=4\}\), what is \((A\cap B)-C\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsWhich of the following set identities is true for all sets A, B, and C?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf \(A=\{x\in\mathbb{N}:x\le 30,\ x\text{ is a perfect square}\}\) and \(B=\{x\in\mathbb{N}:x\le 30,\ 3\mid x\}\), what is \(A-B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium 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 10Medium