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Class 10 · Mathematics · Easy
→If U={1,2,3,4,5,6,7,8} and A={1,2,3}, which of the following is not the complement of A?
Class 10 · Mathematics · Easy
→If A⊆U and Aᶜ={x∈U: x∉A}, why is A∩Aᶜ empty?
Class 10 · Mathematics · Medium
→If U has n(U)=54 and a set A satisfies n(Aᶜ)=2n(A), what is the value of n(A)?
Class 10 · Mathematics · Medium
→For a finite universal set U, n(U)=64 and n(A)=3n(Aᶜ). What is the value of n(Aᶜ)?
Class 10 · Mathematics · Easy
→If U={1,2,3,4,5,6,7,8,9,10} and Aᶜ={1,4,9}, how many elements does A contain?
Class 10 · Mathematics · Medium
→In 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 10 · Mathematics · Medium
→If 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 10 · Mathematics · Medium
→Let 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 10 · Mathematics · Medium
→In 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 10 · Mathematics · Medium
→If the universal set is \(U=\{1,2,3,4,5,6,7,8,9,10\}\), \(A=\{1,2,3,4\}\), and \(B=\{3,4,5,6\}\), what is the value of \((A^c\cap B)^c\)?
Class 10 · Mathematics · Medium
→Let \(U_1=\{1,2,3,4\}\), \(U_2=\{1,2,3,4,5,6\}\), and \(A=\{1,2\}\). What is the set difference between the complement of \(A\) relative to \(U_2\) and the complement of \(A\) relative to \(U_1\), taking the former difference from the latter?
Class 10 · Mathematics · Medium
→If U changes but A remains the same, which statement about Aᶜ is correct?
Class 10 · Mathematics · Medium
→If U = {1,2,3,4,5,6} and A is a set such that A = Aᶜ, which statement is correct?
Class 10 · Mathematics · Medium
→From the statements A ∩ Aᶜ = ∅ and A ∪ Aᶜ = U, which conclusion follows?
Class 10 · Mathematics · Medium
→Let the universal set be \(U=\{1,2,3,4,5,6,7,8\}\) and \(A=\{1,3,5,7\}\). If \(C=A^c\), what is the value of \(C^c\)?
Class 10 · Mathematics · Medium
→If U = {x ∈ N : 1 ≤ x ≤ 12} and A = {x : x is divisible by both 2 and 3}, what is Aᶜ?
Class 10 · Mathematics · Easy
→If U = {x : x is a digit} and A = {x : x is an even digit}, how many elements are in Aᶜ?
Class 10 · Mathematics · Medium
→If the universal set \(U=\{1,2,3,4,5,6,7,8,9\}\) and \(A=\{2,4,6\}\), what is the value of \(A^c\setminus\{1,3,5\}\)?
Class 10 · Mathematics · Medium
→If U = {1,2,3,4,5,6,7,8,9,10} and A = {2,5,8}, how many elements are in Aᶜ ∪ {5}?
Class 10 · Mathematics · Medium
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