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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 \(A\cap B=B\cap C=C\cap A=\varnothing\), \(n(A)=12\), \(n(B)=15\), and \(n(C)=18\), what is the value of \(n(A\cup B\cup C)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf n(A − B) = 17, n(B − C) = 22, and B − C has 6 elements common with A, what is n((A − B) ∪ (B − C))?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf \(A=\{1,2,3,4,5,6\}\) and \(B=\{2,4,6\}\), what is \(n(\mathcal{P}(A\setminus B))\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf \(A=\{1,2,3\}\) and \(B=\{2,3,4,5\}\), how many elements does \(\mathcal{P}(A\cup B)\) contain?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf \(n(U)=120\), \(n(A)=70\), \(n(B)=65\), and \(n(A\cap B)=40\), what is the value of \(n(A'\cap B')\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf A △ B = (A − B) ∪ (B − A), n(A △ B) = 26, and n(A ∩ B) = 9, what is n(A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Hard 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 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 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 10Hard MathematicsIf \(n(A\cup B)=75\), \(n(A-B)=28\), and \(n(B-A)=31\), what is \(n(A\cap B)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf \(A=\{1,2,3,4\}\) and \(B=\{3,4,5,6\}\), how many elements are there in the power set \(\mathcal{P}(A-B)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf \(A=\{1,2,3\}\) and \(B=\{3,4\}\), how many elements does \(\mathcal{P}(A\cap B)\) contain?Class 10SetsPower Set and SubsetsLevel 16Easy MathematicsIf two sets A and B are disjoint, where n(A) = 15 and n(B) = 19, what is n(A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Easy MathematicsIf n(A) = 52, n(B) = 47, n(A ∩ B) = 21, and n(U) = 80, what is n((A ∪ B)')?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16Medium MathematicsIf n(A − B) = 12, n(B − A) = 9, and n(A ∩ B) = 7, what is n(A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf n(A) = 45, n(B) = 38, and n(A ∪ B) = 63, find n(A ∩ B).Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16Hard MathematicsIf A ∪ B = {1, 2, 3, 4, 5, 6}, A ∩ B = {2, 5}, and A − B = {1, 4}, what is B − A?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16Hard MathematicsLet A = {x ∈ ℕ : 1 ≤ x ≤ 30 and x is a multiple of 2} and B = {x ∈ ℕ : 1 ≤ x ≤ 30 and x is a multiple of 3}. How many elements are in A ∩ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Easy MathematicsIn a group, 24 students study Hindi, 18 study English, and 7 study both languages. How many students study only Hindi?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Easy MathematicsIf n(A) = 35, n(B) = 27, and n(A ∪ B) = 50, what is n(A − B)?Class 10SetsSets and their representationsLevel 10Medium