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De Morgan Laws

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

MathematicsIf n(U) = 75, n(A) = 28, n(B) = 35, and n(A ∪ B) = 50, what is n((A' ∩ B')')?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsWith respect to the universal set U, which of the following De Morgan identities is true for every pair of sets A and B?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsWhich of the following statements about the complements of two sets, relative to a universal set, is always true?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsLet A and B be two sets in a universal set U. Which of the following statements is always true?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsFor subsets \(A\) and \(B\) of a universal set \(U\), which of the following statements is always true?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsWith respect to a universal set, which statement correctly represents De Morgan's law for three sets?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf A' ∩ B' = ∅, what is the correct conclusion about A ∪ B?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf A − B = A ∩ B', then (A − B)' is equal to which expression?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf A ⊆ B ⊆ C ⊆ U, which relation is correct for their complements?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsWhich of the following is the correct De Morgan’s law for complements of two sets with respect to the universal set?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIn the universal set U={1,2,3,4,5,6,7,8}, let A={1,2,3} and B={4,5}. Find Aᶜ∩Bᶜ.Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf U={1,2,3,4,5,6,7,8,9,10,11,12}, A={1,2,3,4,5,6}, and B={2,4,6,8,10,12}, how many elements does Aᶜ∪Bᶜ contain?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsLet U={x∈N: 1≤x≤18}, A={x: x is divisible by 3}, and B={x: x is even}. How many elements are in Aᶜ∩Bᶜ?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIn the universal set U={1,2,3,4,5,6,7,8,9}, let A={2,4,6,8} and B={1,2,3,4}. If all complements are taken with respect to U, what is (Aᶜ∪B)ᶜ?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf \(n(U)=100\), \(n(A^c)=40\), \(n(B^c)=55\), and \(n(A^c\cap B^c)=20\), what is \(n(A\cap B)\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsWhich of the following statements is always true for sets?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Hard MathematicsIf n(A − B) = 36, n(B − A) = 28, n(A ∩ B) = 22, and n(U) = 120, what is n(Aᶜ ∪ Bᶜ)?Class 10SetsComplement of a Set and Its PropertiesLevel 11Medium MathematicsIf n(U) = 170, n(A ∩ B) = 44, and n(Aᶜ ∪ Bᶜ) = 146, what can be said about the given data?Class 10SetsComplement of a Set and Its PropertiesLevel 11Medium MathematicsIf n(A) = 90, n(B) = 85, n(A ∪ B) = 125, and n(U) = 160, what is n(Aᶜ ∩ Bᶜ)?Class 10SetsComplement of a Set and Its PropertiesLevel 11Medium MathematicsWhat region does \((A\cap B)^c\) represent in a Venn diagram?Class 10SetsVenn DiagramsLevel 10Medium