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De Morgan Law

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

MathematicsWhat is (A ∪ B′)′ equal to?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf U = {1, 2, …, 36}, A = {x : x is divisible by 2}, and B = {x : x is divisible by 3}, what is |A′ ∩ B′|?Class 10SetsComplement of a Set and Its PropertiesLevel 20MediumMathematicsIf \(U=\mathbb R\), \(A=\{x:-1\le x<5\}\), and \(B=\{x:2<x\le 8\}\), what is \(A'\cup B'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 20HardMathematicsIf U = {1, 2, ..., 30}, A is the set of numbers divisible by 2, and B is the set of numbers divisible by 3, what is |A' ∪ B'|?Class 10SetsComplement of a Set and Its PropertiesLevel 20MediumMathematicsFor subsets A and B of a universal set U, which statement correctly represents De Morgan’s law?Class 10SetsComplement of a Set and Its PropertiesLevel 20EasyMathematicsIf U = {a, b, c, d, e, f, g, i, j, k}, A' = {b, e, i}, and B' = {a, d, j}, what is (A ∪ B)'?Class 10SetsComplement of a Set and Its PropertiesLevel 20MediumMathematicsWhat is ((A' ∩ B)') equal to?Class 10SetsComplement of a Set and Its PropertiesLevel 20MediumMathematicsIf A ∪ B′ = U, which relation is always true?Class 10SetsComplement of a Set and Its PropertiesLevel 19MediumMathematicsIf U = R, A = (-3, 4], and B = [1, 6), what is A' ∩ B'?Class 10SetsComplement of a Set and Its PropertiesLevel 10HardMathematicsIf U = {1,2,...,20}, A is the set of even numbers in U, and B is the set of multiples of 5 in U, which set does Aᶜ ∩ Bᶜ represent?Class 10SetsComplement of a Set and Its PropertiesLevel 19HardMathematicsIf U is the universal set, then (A ∩ B')' is equal to which of the following?Class 10SetsComplement of a Set and Its PropertiesLevel 19MediumMathematicsIf U = {1,2,3,4,5,6}, A = {1,2,4}, and B = {2,4,6}, what is Aᶜ ∩ Bᶜ?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf U = {1,2,3,4,5,6}, A = {1,2,3}, and B = {3,4,5}, what is Aᶜ ∪ Bᶜ?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf \(U=\{1,2,3,\ldots,18\}\), \(A=\{x:x\text{ is divisible by }2\}\), and \(B=\{x:x\text{ is divisible by }3\}\), how many elements are in \(A^c\cap B^c\)?Class 10SetsComplement of a Set and Its PropertiesLevel 20MediumMathematicsIf U = {1,2,3,4,5,6,7,8,9,10}, A = {1,2,3,4,5}, and B = {4,5,6,7}, what is Aᶜ ∪ Bᶜ?Class 10SetsComplement of a Set and Its PropertiesLevel 19MediumMathematicsLet U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}, A = {2, 4, 6, 8, 10, 12}, and B = {3, 6, 9, 12}. What is Aᶜ ∩ Bᶜ?Class 10SetsComplement of a Set and Its PropertiesLevel 19MediumMathematicsIf U = {1, 2, 3, 4, 5, 6, 7, 8}, A = {1, 2, 7}, and B = {2, 3, 8}, what is (A ∪ B)ᶜ?Class 10SetsComplement of a Set and Its PropertiesLevel 10EasyMathematicsIf U = {1, 2, 3, 4, 5, 6, 7}, A = {1, 3, 5}, and B = {2, 3, 6}, what is A′ ∪ B′?Class 10SetsComplement of a Set and Its PropertiesLevel 19EasyMathematicsIf U = {1, 2, 3, 4, 5, 6}, A = {1, 2, 3, 4}, and B = {3, 4, 5}, what is A′ ∩ B′?Class 10SetsComplement of a Set and Its PropertiesLevel 19EasyMathematicsIf A \ (B ∩ C) is simplified, which option is correct?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Hard