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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 ⊆ U, |A| = m, and |U| = 2m, when does |P(A)| = |P(A')| hold?Class 10SetsPower Set and SubsetsLevel 9Hard MathematicsLet U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} and A be the set of odd elements of U. How many 3-element members are there in P(A')?Class 10SetsPower Set and SubsetsLevel 9Hard MathematicsLet U = {x ∈ N : 1 ≤ x ≤ 20} and A = {x ∈ U : x is prime}. How many non-empty subsets does A' have?Class 10SetsPower Set and SubsetsLevel 9Hard MathematicsLet U = {x ∈ N : 1 ≤ x ≤ 15} and A = {x ∈ U : x is divisible by 3}. 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 = {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 A ⊆ U, |U| = 9, and |A′| = 4, how many proper subsets does A have?Class 10SetsPower Set and SubsetsLevel 10Medium 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 U = {1,2,3,4,5,6,7,8}, A = {1,2,3,4}, and B = {3,4,5,6}, what is |𝒫((A ∩ B)′)|?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf A ⊆ U, |U| = 11, and |𝒫(A)| = 128, how many non-empty subsets of A′ are there?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf U = {1, 2, 3, 4, 5, 6, 7, 8} and A = {2, 4, 6, 8}, how many members of P(U) are disjoint from A'?Class 10SetsPower Set and SubsetsLevel 8Medium MathematicsIf |U| = 15 and |P(A)| = 32, where A ⊆ U, what is |P(A')|?Class 10SetsPower Set and SubsetsLevel 8Medium MathematicsIf A has n elements and |P(A)| = |P(A')|, where A ⊆ U and |U| = 12, what is the value of n?Class 10SetsPower Set and SubsetsLevel 8Hard MathematicsIf U = {1, 2, 3, 4, 5, 6, 7} and A = {1, 2, 3}, how many proper subsets does A' have?Class 10SetsPower Set and SubsetsLevel 8Medium MathematicsIf |U| = 10, |A| = 6, |B| = 5, and |A ∩ B| = 3, what is |P((A ∪ B)′)|?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf U = {1, 2, 3, 4, 5, 6}, A = {1, 2, 3}, and B = {3, 4, 5}, what is |P((A ∩ B)')|, where the complement is taken relative to U?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf U = {1,2,3,4,5,6,7,8,9,10} and A = {x : x ∈ U, x is even}, how many non-empty members are in P(A′)?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf U = {x ∈ N : 1 ≤ x ≤ 12} and A = {x ∈ U : x is prime}, what is |P(A')|?Class 10SetsPower Set and SubsetsLevel 10Hard