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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।

MathematicsLet U = {1, 2, 3, 4, 5, 6, 7, 8}, A = {1, 3, 5, 7}, and B = {2, 3, 5, 8}. What is |P((A ∪ B)')|, where the complement is taken relative to U?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf U={1,2,3,4,5} and A={1,4}, what is P(A)∩P(A')?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf A ⊆ U, |U| = 7, and |P(A′)| = 8, what is |A|?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf U = {1, 2, 3, 4, 5, 6} and A = {2, 4, 6}, which of the following is not a member of P(A′)?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf \(U=\{a,b,c,d,e\}\) and \(A=\{a,c,e\}\), how many members does \(\mathcal{P}(A')\) have?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsLet \(U=\{1,2,\ldots,20\}\). If \(A\) is the set of multiples of 4 and \(B\) is the set of multiples of 6 in \(U\), what is \(n((A\cup B)')\)?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf \(n(\mathcal{P}(A))=32\) and \(n(U)=13\), how many 2-element subsets does \(A'\) have?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf U = {1,2,...,16}, A is the set of divisors of 16, and B = A', what is n(P(B))?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf U = {1,2,...,14}, A = {2,4,6,8,10,12,14}, and B = {1,3,5,7,9,11,13}, what is true about P(A') = P(B)?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf U = {1, 2, ..., 18} and A = {x : x is a prime factor of 18}, what is n(P(A'))?Class 10SetsComplement of a Set and Its PropertiesLevel 10Hard MathematicsIf A = {1,2,3,4}, how many subsets in P(A) are equal to their own complement with respect to A?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf U = {1,2,3,4,5} and A = {1,2}, why is P(A') ⊆ P(U) true?Class 10SetsPower Set and SubsetsLevel 10Hard 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 \(U=\{1,2,\ldots,25\}\) and \(A=\{x\in U:x\text{ is a perfect square}\}\), what is \(n(A')\)?Class 10SetsPower Set and SubsetsLevel 10Easy MathematicsIf \(U=\{0,1,2,3,4,5\}\) and \(A=\{x:x^2=x\}\), what is \(n(\mathcal{P}(A'))\)? Here, \(A'\) denotes the complement of \(A\) in \(U\).Class 10SetsPower Set and SubsetsLevel 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 = {a, b, c, d}, how many elements of P(U) have a singleton complement?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf U={1,2,...,30}, A is the set of multiples of 2, and B is the set of multiples of 5, what is n((A∪B)')?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 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