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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, 9, 10} and A = {x : x ∈ U and x is even}. How many elements of P(A′) have exactly two elements?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf U = {1, 2, 3, 4, 5, 6, 7} and A = {2, 4, 6}, how many subsets of P(A′) contain both 1 and 7?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf U = {1,2,3,4,5,6}, A = {1,2,3}, and B = {3,4,5}, what is n(P(A′ ∪ B′))?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf U = {1,2,3,4,5}, A = {1,2}, and B = {2,3,4}, what is n(P((A ∩ B)′))?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf U = {1,2,3,4,5,6,7,8} and A = {1,3,5,7}, how many elements of P(A′) contain only even numbers?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsWhich condition is required for P(A′) = P(A), where the complement is taken with respect to U?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf n(P(A′)) = 64 and the universal set U has n(U) = 10, what is n(A)?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf A ⊆ U, n(U) = 7, and n(P(A)) = 16, what is n(P(A′))?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsLet U = {1, 2, 3, 4, 5, 6} be the universal set and A = {1, 2, 3}. What is P(A′) ∩ P(A), where A′ is the complement of A in U?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf U = {1, 2, 3, 4, 5, 6, 7, 8, 9} and A = {x ∈ U : x is prime}, how many elements are in P(A′)?Class 10SetsPower Set and SubsetsLevel 10Easy MathematicsIf U = {1, 2, 3, 4, 5, 6, 7, 8}, A = {1, 2, 3, 4}, and B = {3, 4, 5, 6}, what is n(P(A' ∩ B'))? Here P denotes the power set.Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf U = {a, b, c, d, e}, A = {a, c}, and B = {c, d}, what is the number of elements of P((A ∪ B)')?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf A ⊆ U, |U| = 9, and |A| = 4, what is the number of proper subsets of P(A')?Class 10SetsPower Set and SubsetsLevel 10Expert MathematicsThe universal set is U = {x : x ∈ N, 1 ≤ x ≤ 10} and A = {2,4,6,8,10}. How many singleton sets are in P(A')?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf A = {1,2,3,4} and the universal set is U = {1,2,3,4,5,6}, what is the number of elements in P(A')?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf A ⊆ U, |U| = 16, and |P(A)| = 256, how many non-empty subsets of A' are there?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf A ⊆ U, |A| = 4, and |A'| = 5, what is |P(U)|?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsLet U = {1,2,3,4,5,6,7,8,9}, A = {1,2,3,4,5}, and B = {4,5,6,7}. What is the cardinality of P(A' ∪ B')?Class 10SetsPower Set and SubsetsLevel 9Medium 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')|, where complements are taken with respect to 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