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Disjoint Sets

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

MathematicsIf A ∩ B = A ∩ B', which conclusion must be true?Class 10SetsComplement of a Set and Its PropertiesLevel 21HardMathematicsIf A ∪ B = U and A ∩ B = ∅, what is B equal to?Class 10SetsComplement of a Set and Its PropertiesLevel 20MediumMathematicsIf \(A\cap B=\varnothing\), which statement about \(B\) must be true?Class 10SetsComplement of a Set and Its PropertiesLevel 19MediumMathematicsIf U ≠ ∅, which statement cannot always be true?Class 10SetsComplement of a Set and Its PropertiesLevel 21EasyMathematicsIf B − A = B, which conclusion is always correct?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf A ∩ B = ∅, what is (A ∪ B)' equal to?Class 10SetsComplement of a Set and Its PropertiesLevel 10EasyMathematicsIf \(A\subseteq B'\), which of the following relations is always true?Class 10SetsComplement of a Set and Its PropertiesLevel 20MediumMathematicsIf (A ∪ B)' = ∅ and A ∩ B = ∅, then B is equal to what?Class 10SetsComplement of a Set and Its PropertiesLevel 19MediumMathematicsIf U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {2, 3, 5, 7}, and B = {1, 4, 6, 8, 9, 10}, which statement is correct for A and B?Class 10SetsComplement of a Set and Its PropertiesLevel 21EasyMathematicsIf U = {1,2,3,4,5} and A = {1,2}, what is Aᶜ \ A?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf U = {1,2,3,4,5,6,7,8}, A = {1,2,3,4}, and B = {5,6,7,8}, what is the relation between B and A?Class 10SetsComplement of a Set and Its PropertiesLevel 21EasyMathematicsIf U = {1,2,3,4,5,6,7}, A = {2,4,6}, how many elements are in Aᶜ ∩ A?Class 10SetsComplement of a Set and Its PropertiesLevel 21EasyMathematicsIf A ∩ Aᶜ is considered, what is its value?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf P ∩ Q = ∅ and P ∪ Q = U, then Pᶜ is equal to which set?Class 10SetsComplement of a Set and Its PropertiesLevel 10MediumMathematicsLet U = {a, b, c, d, e, g}, A = {a, d, g}, and B = {b, c, e}. Which statement is correct?Class 10SetsComplement of a Set and Its PropertiesLevel 10EasyMathematicsWith respect to a universal set, which relation holds between a set and its complement?Class 10SetsComplement of a Set and Its PropertiesLevel 19EasyMathematicsIf A⊆U and Aᶜ={x∈U: x∉A}, why is A∩Aᶜ empty?Class 10SetsComplement of a Set and Its PropertiesLevel 19EasyMathematicsFrom the statements A ∩ Aᶜ = ∅ and A ∪ Aᶜ = U, which conclusion follows?Class 10SetsComplement of a Set and Its PropertiesLevel 19MediumMathematicsIf the universal set is U = {a, b, c, d, e, f}, A = {a, c, e}, and B = {b, d, f}, which of the following statements is correct?Class 10SetsComplement of a Set and Its PropertiesLevel 19EasyMathematicsIf U = {1, 2, 3, 4, 5} and Aᶜ = {2, 5}, what is A ∩ Aᶜ?Class 10SetsComplement of a Set and Its PropertiesLevel 20Easy