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Power Set And Subsets

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf A = {a,b,c,d,e}, how many elements of P(A) contain both a and b?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf A = {1,2,3,4,5}, how many elements of P(A) have at most 2 elements?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf A = {1,2,3,4,5,6}, how many elements of P(A) are subsets containing at least 2 elements?Class 10SetsPower Set and SubsetsLevel 10Hard 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 MathematicsIf U is the universal set and A ⊆ U, why is P(A) ⊆ P(U) true?Class 10SetsPower Set and SubsetsLevel 10Medium 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 A = {1, 2} and B = {2, 3}, how many elements are in P(A) ∪ P(B)?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsWhich statement is generally false?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIn general, P(A) ∩ P(B) is equal to which of the following?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf A = {1,2} and B = {3,4}, then what is P(A) ∩ P(B)?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf n(P(A)) = n(P(B)), which conclusion is definitely true?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf A has 4 elements, what is the number of 2-element subsets of P(A)?Class 10SetsPower Set and SubsetsLevel 10Hard 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 = {x ∈ Z : −2 ≤ x ≤ 2} and A = {x ∈ U : x² = 1}, then what is n(P(A′))?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf A = {∅, {∅}}, which element must belong to P(A)?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf A = {∅, {1}}, then what is n(P(A))?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf A = {1, 2, 3}, which of the following is not an element of P(A)?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf n(A) = 5, how many subsets in P(A) have an odd number of elements?Class 10SetsPower Set and SubsetsLevel 10Hard