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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 \(A\cap B=A\) 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 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 MathematicsIf A and B are finite sets and n(A ∪ B) = n(A) + n(B), which conclusion is correct?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf A = {x ∈ R : x ≠ 0} and B = {x ∈ R : x² > 0}, what is A △ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium 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 \(A\cap B=B\cap C=C\cap A=\varnothing\), \(n(A)=12\), \(n(B)=15\), and \(n(C)=18\), what is the value of \(n(A\cup B\cup C)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium