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Class 10 · Mathematics · Easy
→If U = {1,2,3,…,60} and A = {x ∈ U : 6 divides x}, what is n(Aᶜ)?
Class 10 · Mathematics · Medium
→If U = {1,2,3,…,40} and A = {x ∈ U : x is divisible by 4 or 5}, what is n(Aᶜ)?
Class 10 · Mathematics · Medium
→If U = {1,2,3,4,5,6,7,8,9}, A = {2,3,5,7}, and B = {1,2,3,4,5}, what is the complement of B − A with respect to U?
Class 10 · Mathematics · Medium
→Let U = {1,2,3,4,5,6,7,8,9,10}, A = {1,2,3,4,5}, and B = {4,5,6,7,8}. What is Aᶜ − Bᶜ?
Class 10 · Mathematics · Medium
→If n(U) = 90, n(Aᶜ) = 35, n(Bᶜ) = 50, and n(Aᶜ ∩ Bᶜ) = 18, what is n(A ∩ B)?
Class 10 · Mathematics · Medium
→If n(U) = 75, n(A) = 42, n(B) = 38, and n(A ∩ B) = 20, what is n((A ∪ B)ᶜ)?
Class 10 · Mathematics · Medium
→Suppose A and B are subsets of the same universal set. If Bᶜ ⊆ Aᶜ, which conclusion is correct?
Class 10 · Mathematics · Medium
→If A ⊆ B ⊆ C ⊆ U, which relation is correct for their complements?
Class 10 · Mathematics · Medium
→If \(U=(-4,6]\) and \(A=[0,2]\), what is \(A^c\)?
Class 10 · Mathematics · Medium
→If \(U=[-3,7]\) and \(A=(-1,4)\), what is \(A^c\)?
Class 10 · Mathematics · Medium
→If the universal set \(U=\{x\in\mathbb Z\mid -5\le x\le 5\}\) and \(A=\{x\in\mathbb Z\mid x^2<9\}\), what is the complement \(A^c\) of A?
Class 10 · Mathematics · Medium
→If \(U=\{1,2,3,\ldots,20\}\), \(A=\{x:x\text{ is prime}\}\), and \(B=\{x:x\text{ is odd}\}\), what is \(A^c\cap B\)?
Class 10 · Mathematics · Medium
→If \(U=\{1,2,3,\ldots,16\}\), \(A=\{1,4,9,16\}\), and \(B=\{2,4,6,8,10,12,14,16\}\), what is \((A\cup B)^c\)?
Class 10 · Mathematics · Medium
→If \(U=\{1,2,3,\ldots,18\}\), \(A=\{x:x\text{ is divisible by }2\}\), and \(B=\{x:x\text{ is divisible by }3\}\), how many elements are in \(A^c\cap B^c\)?
Class 10 · Mathematics · Easy
→With respect to a universal set, which relation holds between a set and its complement?
Class 10 · Mathematics · Easy
→If the universal set is \(U=\{1,2,3,4,5,6,7,8\}\), \(A=\{1,2,3,4\}\), and \(B=\{5,6,7,8\}\), what is \((A\cup B)^c\)?
Class 10 · Mathematics · Easy
→If the universal set is \(U=\{1,2,3,4,5,6,7,8,9,10\}\), \(A=\{2,4,6,8,10\}\), and \(B=A^c\), what is the value of \(A\cap B\)?
Class 10 · Mathematics · Easy
→If the universal set is \(U=\{1,2,3,4,5,6,7,8,9,10\}\), \(A=\{1,3,5,7,9\}\), and \(B=A^c\), what is the value of \(A\cup B\)?
Class 10 · Mathematics · Easy
→Which of the following is the correct De Morgan’s law for complements of two sets with respect to the universal set?
Class 10 · Mathematics · Easy
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