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Universal Set

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

MathematicsIf n(U) = 45 and n(A ∪ B) = 29, how many elements are in the region belonging to neither A nor B in the Venn diagram?Class 10SetsVenn DiagramsLevel 13Easy MathematicsIf n(A − B) = 9, n(A ∩ B) = 4, n(B − A) = 6, and the outside region has 5 elements, what is n(U)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Easy MathematicsWhich statement is correct for a Venn diagram?Class 10SetsVenn DiagramsLevel 10Easy MathematicsIf the universal set U = {1, 2, 3, 4, 5} and A = {2, 5}, what is the complement A′?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsWhich region does A′ represent in a Venn diagram?Class 10SetsVenn DiagramsLevel 10Easy MathematicsIn a Venn diagram, what does the rectangle usually represent?Class 10SetsVenn DiagramsLevel 10Easy MathematicsIf U is the universal set and A ⊆ U, why is P(A) ⊆ P(U) true?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf A ⊆ U, |A| = 4, and |A'| = 5, what is |P(U)|?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf A ⊆ U, |U| = 18, and |P(A′)| = 1024, what is |P(A)|?Class 10SetsPower Set and SubsetsLevel 9Medium MathematicsIf U = {1,2,3,4,5,6,7} and A = {2,4,6}, how many members of P(U) are subsets of A′?Class 10SetsPower Set and SubsetsLevel 9Easy MathematicsIf U = {a,b,c,d,e,f,g,h} and A = {a,b,c}, how many members of P(U) contain A as a subset?Class 10SetsPower Set and SubsetsLevel 9Medium MathematicsIf U = {1,2,3,4,5,6,7,8,9}, A = {1,3,5,7,9}, and B = {2,3,5,8}, what is |P((A − B)′)|?Class 10SetsPower Set and SubsetsLevel 9Hard MathematicsIf U = {1,2,3,4,5,6,7,8}, A = {1,2,3}, and B = {3,4,5}, what is |𝒫((A ∪ B)′)|?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf |U| = 14, A ⊆ U, and |𝒫(A)| = 64, what is the value of |𝒫(A′)|?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf U = {1,2,3,4,5,6,7,8,9,10} and A = {2,3,5,7}, what is |𝒫(A′)|?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf \(A=\{1,2,3,4\}\) and \(U=\{1,2,3,4,5,6\}\), how many members of \(\mathcal{P}(A)\) are subsets of \(U\)?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsLet U = {x : x ∈ Z, −3 ≤ x ≤ 3} and A = {x : x ≥ 0}. What is the complement A' with respect to U?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf U = {1, 2, ..., 9}, A = {1, 2, 3, 4}, and B = {3, 4, 5, 6}, what is the complement of A ∩ B with respect to U?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf \(U=\{1,2,\ldots,10\}\) and \(A=\{x\in U:x\text{ is a multiple of 2 or 3}\}\), what is \(A'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf U={1,2,3,4,5,6} and A'={2,4,6}, what is A?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy