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Complement Of A Set And Its Properties

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

MathematicsIf the universal set U = {x ∈ ℤ | -2 ≤ x ≤ 3} and A = {-1, 0, 1}, what is Aᶜ?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf the universal set U = (-3, 4] and A = (-3, 1], what is the complement Aᶜ of A with respect to U?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf the universal set U = [1, 9] and A = [1, 5), what is Aᶜ with respect to U?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf 5 ∉ Aᶜ and 5 ∈ U, which statement is correct?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf 6 ∈ U and 6 ∉ A, which conclusion is correct?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf the universal set U = {a, b, c, d, e} and the complement of A is Aᶜ = {b, e}, what is the value of A ∪ Aᶜ?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf \(U=\{1,2,3,4,5,6,7,8\}\) and \(A^c=\{2,4,6,8\}\), what is the value of \(A\cap A^c\)?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf \(n(U)=31\) for the universal set \(U\), what is the value of \(n(A\cup A^c)\)?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf the finite universal set \(U\) has \(n(U)=24\) and \(n(A)=n(A^c)\), what is the value of \(n(A)\)?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf the universal set \(U\) has \(n(U)=48\) and the complement of set \(A\) has \(n(A^c)=19\), what is the value of \(n(A)\)?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf the universal set \(U=\{x:x\text{ is a digit}\}\) and \(A=\{0,2,4,6,8\}\), what is \(A^c\)?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf \(U=\{\text{red},\text{blue},\text{green},\text{yellow}\}\) and \(A=\{\text{red},\text{yellow}\}\), what is \(A^c\)?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf \(U\) is the set of all students in a school and \(A\) is the set of students who come by bus, what does \(A^c\) represent?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsWith respect to a universal set \(U\), which of the following statements is always true for every set \(A\)?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf A ⊆ B, which relation is always correct?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf the universal set U = {1, 2, 3, 4, 5, 6, 7}, A = {1, 2, 3, 4}, and B = {3, 4, 5}, what is (A ∩ B)ᶜ with respect to U?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf U = {1, 2, 3, 4, 5, 6, 7}, A = {1, 2, 5}, and B = {2, 4, 6}, what is the complement of A ∪ B?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsAssume that N denotes the set of positive natural numbers. If U = {x ∈ N : x < 7} and A = {x ∈ U : x ≤ 3}, what is the complement Aᶜ of A with respect to U?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf U = {x : x ∈ N, 1 ≤ x ≤ 10} and A = {x : x is even}, what is the complement Aᶜ with respect to U?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf U = {0, 1, 2, 3, 4, 5, 6} and A = {0, 3, 6}, what is the complement Aᶜ of A with respect to U?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy