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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 10Hard MathematicsIf \(A=\{x:x\in\mathbb{N},\ x\leq5\}\) 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 10Hard MathematicsIf \(|\mathcal{P}(A)|=64\), what is the value of \(|\mathcal{P}(\mathcal{P}(A))|\)?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf \(|U|=9\), \(|A|=5\), and \(A\subseteq U\), what is the value of \(|\mathcal{P}(U-A)|\)?Class 10SetsPower Set and SubsetsLevel 10Medium 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 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 n(A)=5, how many elements of P(A) have at least 4 elements?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf n(A)=m and n(P(A))=n(A)+12, what is m?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf a finite set A is said to have exactly 5 proper subsets, what is the correct conclusion?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsFor a set A, if n(P(P(A))) = 16, what is n(A)?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf n(P(A)) = 64 and the universal set U has 10 elements, how many elements are in A'?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsLet U = {x : x ∈ N and x ≤ 50}, and let A be the set of multiples of 10 in U. What is |P(A')|, where A' is the complement of A in U?Class 10SetsPower Set and SubsetsLevel 9Medium MathematicsLet A = {a, b, c, d, e, f}. How many elements of the power set P(A) have exactly three elements and do not contain a?Class 10SetsPower Set and SubsetsLevel 9Medium MathematicsIf |P(A)| = 32 and |P(B)| = 8, what is |P(A × B)|?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf A = {1, 2, 3, 4}, how many elements of P(A) have 3 as their maximum element?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsLet U = {x ∈ Z : −5 ≤ x ≤ 5} and A = {x ∈ U : |x| ≤ 2}. How many elements does the complement A′ relative to U contain?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf A = {∅, {∅}}, how many elements does its power set P(A) contain?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf A has 4 elements and B has 5 elements with A⊂B, how many elements are in P(B)\P(A)?Class 10SetsPower Set and SubsetsLevel 9Medium MathematicsIf U={1,2,3,4,5,6,7}, A={1,3,5,7}, how many elements does the power set P(A') of the complement of A with respect to U contain?Class 10SetsPower Set and SubsetsLevel 9Medium