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Universal Set

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

MathematicsIf \(U'=\varnothing\), which statement about \(U\) is correct?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf U = {1, 2, ..., 18}, A = {2, 4, 6, 8, 10, 12}, and B = {6, 9, 12, 15, 18}, what is (B − A)'?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf U ≠ ∅, which statement cannot always be true?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf A ∩ B = U, what is A′ ∪ B′?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf the complement of \(A\) with respect to the universal set \(U\) is \(A'=\varnothing\), which statement about \(A\) is correct?Class 10SetsComplement of a Set and Its PropertiesLevel 20Easy MathematicsIf \(A\cup B=U\), what is the value of \(A'\cap B'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf the universal set is U = {1, 2, …, 12} and A′ = {1, 5, 7, 11}, what is the set A?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf U has n elements and A has r elements, how many elements are in A′?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf U = {x : x ∈ Z, -3 ≤ x ≤ 6} and A = {x : x ≥ 2}, what is A'?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf \(U=\mathbb{R}\) and \(A=\{x:x^2-5x+6=0\}\), which is the correct description of \(A'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf A ∪ A′ = U and A ∩ A′ = ∅, what kind of set is A′ with respect to A?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIf A' ∩ B' = ∅, what is the correct conclusion about A ∪ B?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf 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 19Hard MathematicsIf U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 2, 3, 4, 5, 6}, and B = {4, 5, 6, 7, 8}, what is (A \ B)ᶜ?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf U = {1, 2, 3, 4, 5, 6, 7, 8, 9} and A = {2, 4, 6, 8}, which statement is correct?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf U = {1, 2, 3, 4, 5} and A = {1, 2}, what is A \ Aᶜ?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf 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 21Easy MathematicsIf U = {1,2,3,4,5,6,7,8,9,10}, A = {1,3,5,7,9}, and B = Aᶜ, what is B?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf U = {x : x ∈ N, 1 ≤ x ≤ 20} and A = {x : x ∈ U, x is a factor of 20}, how many elements does the complement Aᶜ relative to U contain?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf U = {1,2,3,4,5,6,7,8}, A = {1,2,5,8}, and C = {3,4,6,7}, which statement is correct?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy