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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 U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, and B = {4, 5, 6}, what is A' ∩ B, where the complement is taken with respect to U?Class 10SetsComplement of a Set and Its PropertiesLevel 9Medium MathematicsIf |A| = 7, how many elements of the power set P(A) have at least 6 elements?Class 10SetsPower Set and SubsetsLevel 9Medium MathematicsIf A = {1, {1}, {1, 2}}, which of the following is a subset of A?Class 10SetsPower Set and SubsetsLevel 9Medium MathematicsIf A ⊆ U and A' = U, which statement about A is correct?Class 10SetsComplement of a Set and Its PropertiesLevel 9Easy MathematicsIf A = {p, q, r}, how many non-empty proper subsets does A have?Class 10SetsPower Set and SubsetsLevel 9Medium MathematicsIf U = {a, b, c, d, e, g, h}, A = {a, c, g}, and B = {b, c, h}, what is (A ∪ B)' with respect to U?Class 10SetsComplement of a Set and Its PropertiesLevel 9Medium MathematicsIf A = {1, 2, 3, 4, 5, 6}, how many elements of the power set P(A) contain 1 and do not contain 6?Class 10SetsPower Set and SubsetsLevel 9Medium MathematicsIf P(A) has 256 elements, how many elements are in P(P(A))?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsLet U = Z and A = {x ∈ Z : −2 ≤ x ≤ 3}. Which is the correct description of A′?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsLet A = {∅,{a},b}. Which of the following is an element of P(A)?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsLet U = {1,2,3,…,12} and A = {x ∈ U : x is divisible by 4}. What is the complement A′ of A with respect to U?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIf |A| = 6, how many elements of P(A) have cardinality 2 or cardinality 4?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf A = {2,4,6,8,10}, how many elements of P(A) contain only even numbers?Class 10SetsPower Set and SubsetsLevel 10Easy MathematicsIf A = {a, b, c, d, e}, how many elements of P(A) contain a but do not contain both b and c?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsLet U = {x ∈ N : x ≤ 15} and A = {x ∈ U : x is not prime}. What is A′, the complement of A in U?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, what is the value of |P(A ∩ B)|, where P denotes the power set?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsLet U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {x ∈ U : x is divisible by neither 2 nor 5}. What is A′, the complement of A in U?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf \(A=\{x,y,z,w\}\), how many elements of \(\mathcal{P}(A)\) are disjoint from \(\{x,z\}\)?Class 10SetsPower Set and SubsetsLevel 8Medium MathematicsIf \(U=\{1,2,3,4,5,6,7,8\}\), \(A=\{1,2,3,4\}\), and \(B=\{3,4,5,6\}\), what is \(A'\cup B'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 8Hard MathematicsIf \(A=\{1,2,3\}\), how many elements does \(\mathcal{P}(A)\setminus\{\varnothing,A\}\) contain?Class 10SetsPower Set and SubsetsLevel 8Medium