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Operations On Sets Union Intersection Difference

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf \(A=\{x\in\mathbb{N}:x\le25,\ x\text{ is prime}\}\) 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 MathematicsIf A = {x : x is a letter of the English word ALGEBRA} and B = {x : x is a letter of the English word GEOMETRY}, what is A ∪ B?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 MathematicsIf \(A\cap B=A\) and \(B\cap C=B\), which conclusion is correct?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium 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 \(A=\{x\in\mathbb{N}:x\mid 72\}\) and \(B=\{x\in\mathbb{N}:x\mid 90\}\), what is \(A\cap B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf \(A=\{x\in\mathbb{N}:x\le 40,\ 4\mid x\}\) 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 10Medium MathematicsIf \(A\cap B=\varnothing\) and \(A\cup B=A\cup C\), which additional condition is sufficient for \(B\subseteq C\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Hard 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 \(A=\{1,2,3,4,5,6,7\}\), \(B=\{2,4,6,8\}\), and \(C=\{1,4,7,8\}\), what is the value of \((A\cup B)\cap C\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Easy MathematicsIf 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 10Medium MathematicsIf A = {x ∈ R : |x − 2| ≤ 3} and B = {x ∈ R : x² ≤ 4}, what is A ∩ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium 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) = 58, n(B) = 44, and n(A − B) = 23, what is n(A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf 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 17Medium MathematicsIf 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 17Medium MathematicsIf A, B, and C are sets, then A ∩ (B − C) is equal to which expression?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf 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 16Medium