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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 the complement of set A with respect to the universal set U is Aᶜ = ∅, which statement about A is correct?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf A ∪ Aᶜ is considered, what is its value?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsGiven the universal set \(U=\{1,2,3,4,5,6,7,8\}\), \(A=\{1,3,5,7\}\), and \(B=\{2,3,5,8\}\), what is the value of \((A\cup B)^c\)?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIf \(A=U\), what is \(A^c\)?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf \(A=\varnothing\) and the universal set is \(U\), what is \(A^c\)?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf the universal set is \(U=\{a,b,c,d,e\}\) and \(B=\{a,e\}\), how many elements does \(B^c\) contain?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf the universal set is \(U=\{1,2,3,4,5,6\}\) and \(A=\{2,4,6\}\), what is \(A^c\)?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf the universal set is \(U=\{1,2,3,4,5,6,7\}\), \(A=\{1,3,5,7\}\), and \(B=\{2,4,6\}\), what is the value of \((A\cap B)^c\)?Class 10SetsComplement of a Set and Its PropertiesLevel 20Easy MathematicsIf the universal set is \(U=\{1,2,3,4,5,6,7,8\}\), \(A=\{1,2,3,4,5\}\), and \(B=\{6,7,8\}\), what is the value of \((A\cup B)^c\)?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIf the universal set is \(U=\{1,2,3,\ldots,12\}\), \(A=\{3,6,9,12\}\), and \(B=A^c\), what is the value of \(A\cap B\)?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsLet the universal set be \(U=\{1,2,3,\ldots,12\}\), \(A=\{2,3,5,7,11\}\), and \(B=A^c\). What is the value of \(A\cup B\)?Class 10SetsComplement of a Set and Its PropertiesLevel 20Easy MathematicsIf U = {1,2,3,4,5,6,7,8,9} and A = {2,3,5}, which of the following sets B is not the complement of A?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf Aᶜ = {x | x ∈ U and x ∉ A}, why does A ∪ Aᶜ = U hold?Class 10SetsComplement of a Set and Its PropertiesLevel 20Easy MathematicsFor the universal set U, if n(U)=72 and n(A^c)=3n(A), what is the value of n(A)?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsWhich of the following statements about the complement Aᶜ of a set A is always true?Class 10SetsComplement of a Set and Its PropertiesLevel 20Easy MathematicsGiven U = {1, 2, 3, ..., 12}, A = {1, 2, 3, 4}, and B = {3, 4, 5, 6, 7}, what is (Aᶜ ∩ B)ᶜ?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf U1={1,2,3,4,5}, U2={1,2,3,4,5,6,7}, and A={2,5}, which extra elements are in A^c relative to U2 compared with A^c relative to U1?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf U is enlarged and A remains the same, what may happen to A^c?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf U={1,2,3,...,18} and A={x:x is divisible by both 2 and 5}, what is A^c?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsWhich of the following statements about the complement of a set, with respect to a universal set, is always true?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy