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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={∅,{∅}}, what is |P(A)|?Class 10SetsPower Set and SubsetsLevel 10HardMathematicsIf A={1,{2},3}, which of the following is a member of P(A)?Class 10SetsPower Set and SubsetsLevel 10HardMathematicsIf 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 10HardMathematicsIf \(A=\{x:x\in\mathbb{N},\ x\leq5\}\) and \(U=\{x:x\in\mathbb{N},\ x\leq8\}\), how many members are in \(\mathcal{P}(U)-\mathcal{P}(A)\)?Class 10SetsPower Set and SubsetsLevel 10HardMathematicsIf \(|\mathcal{P}(A)|=64\), what is the value of \(|\mathcal{P}(\mathcal{P}(A))|\)?Class 10SetsPower Set and SubsetsLevel 10HardMathematicsIf \(A=\varnothing\), how many members are there in \(\mathcal{P}(\mathcal{P}(A))\)?Class 10SetsPower Set and SubsetsLevel 10HardMathematicsIf \(|U|=9\), \(|A|=5\), and \(A\subseteq U\), what is the value of \(|\mathcal{P}(U-A)|\)?Class 10SetsPower Set and SubsetsLevel 10MediumMathematicsIf \(U=\{a,b,c,d,e\}\) and \(A=\{a,c,e\}\), how many members does \(\mathcal{P}(A')\) have?Class 10SetsPower Set and SubsetsLevel 10MediumMathematicsIf \(A=\{1,2,3,4\}\) and \(U=\{1,2,3,4,5,6\}\), how many members of \(\mathcal{P}(A)\) are subsets of \(U\)?Class 10SetsPower Set and SubsetsLevel 10MediumMathematicsIf A = {a, b, c, d, e}, how many subsets in P(A) contain a and contain neither b nor c?Class 10SetsPower Set and SubsetsLevel 10MediumMathematicsIf \(n(\mathcal{P}(A))=32\) and \(n(U)=13\), how many 2-element subsets does \(A'\) have?Class 10SetsPower Set and SubsetsLevel 10HardMathematicsIf A = {∅, {1}, 2}, which one is not an element of P(A)?Class 10SetsPower Set and SubsetsLevel 10MediumMathematicsIf 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 10HardMathematicsIf 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 10MediumMathematicsIf A = {1,2,3,4,5}, how many subsets in P(A) contain 1 or do not contain 5?Class 10SetsPower Set and SubsetsLevel 10HardMathematicsIf 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 10HardMathematicsIf 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 10MediumMathematicsIf U = {1,2,3,4,5} and A = {1,2}, why is P(A') ⊆ P(U) true?Class 10SetsPower Set and SubsetsLevel 10HardMathematicsIf A = {1,2,3,4,5,6}, how many subsets in P(A) contain at least one of 1 or 2?Class 10SetsPower Set and SubsetsLevel 10HardMathematicsIf A = {a,b,c}, how many elements of P(A) are disjoint from A?Class 10SetsPower Set and SubsetsLevel 10Medium