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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 \(A=\{x\in\mathbb{N}:x\mid 72\}\) and \(B=\{x\in\mathbb{N}:x\mid 90\}\), what is \(A\cap B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf \(A=\{x\in\mathbb{N}:x\le 40,\ 4\mid x\}\) and \(B=\{x\in\mathbb{N}:x\le 40,\ 6\mid x\}\), what is \(A\cap B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf \(A\cap B=\varnothing\) and \(A\cup B=A\cup C\), which additional condition is sufficient for \(B\subseteq C\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10HardMathematicsIf \(A-B=\{p,q\}\), \(A\cap B=\{r,s,t\}\), and \(B-A=\{u\}\), what is the value of \(n(A)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf \(A=\{1,2,3,4,5,6,7\}\), \(B=\{2,4,6,8\}\), and \(C=\{1,4,7,8\}\), what is the value of \((A\cup B)\cap C\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10EasyMathematicsIf A ⊆ U, B ⊆ U, and A − B = A ∩ B′, then (A − B) ∪ (A ∩ B) is equal to which of the following?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf A = {x ∈ R : |x − 2| ≤ 3} and B = {x ∈ R : x² ≤ 4}, what is A ∩ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17MediumMathematicsIf 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 10HardMathematicsIf n(A) = 58, n(B) = 44, and n(A − B) = 23, what is n(A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf A ∪ B = {2,4,6,8,10,12,14}, A − B = {2,10}, and B − A = {6,14}, what is A ∩ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17MediumMathematicsIf A = {x ∈ Z : -4 ≤ x ≤ 6}, B = {x ∈ Z : x² ≤ 16}, and C = {x ∈ Z : 2 divides x}, what is (A ∩ B) − C?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17MediumMathematicsIf A, B, and C are sets, then A ∩ (B − C) is equal to which expression?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf A = {x ∈ R : -2 < x ≤ 6}, B = {x ∈ R : 1 ≤ x < 8}, and C = {x ∈ R : 4 < x ≤ 10}, what is (A ∪ C) − B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16MediumMathematicsIf 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 10HardMathematicsIf A, B, and C are sets such that A − B = A − C and A ∩ B = A ∩ C, which statement is correct with respect to A?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10HardMathematicsIf 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 10MediumMathematicsIf \(A=\{x\in\mathbb{N}:x\le30,\ 2\mid x\}\) and \(B=\{x\in\mathbb{N}:x\le30,\ 3\mid x\}\), what is \(A\cap B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf \(A=\{x\in\mathbb{N}:x\le 15\}\), \(B=\{x\in\mathbb{N}:3\mid x\}\), and \(C=\{x\in\mathbb{N}:5\mid x\}\), where \(\mathbb{N}=\{1,2,3,\ldots\}\), what is \(A\cap(B\cup C)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsWhich of the following sets is equivalent to \(A\cup(B\cap C)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsWhich of the following expressions is equivalent to \(A\cap(B\cup C)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium

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