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Class 10 · Mathematics · Medium
→In a class of 80 students, 46 play cricket, 38 play football, and 20 play both. How many students play neither game?
Class 10 · Mathematics · Hard
→If U = ℝ and A = {x : x² − 2x − 8 ≤ 0}, what is A'?
Class 10 · Mathematics · Easy
→Let U = {1, 2, ..., 21} and A = {x : x is divisible by 3}. How many odd elements are there in A′, the complement of A in U?
Class 10 · Mathematics · Hard
→Let U = {1,2,...,55}, A = {x ∈ U : x is divisible by 5}, and B = {x ∈ U : x is divisible by 11}. What is |A' ∩ B'|?
Class 10 · Mathematics · Medium
→If A' ∪ B' = U, what conclusion is correct about A ∩ B?
Class 10 · Mathematics · Medium
→If U = ℝ and A = {x : 0 < x < 2 or 5 ≤ x < 9}, what is A'?
Class 10 · Mathematics · Medium
→If U = {1,2,...,14}, A = {1,3,5,7,9,11,13} and B = {2,3,5,7,11,13}, what is A' ∩ B'?
Class 10 · Mathematics · Easy
→If A ∩ B = ∅, what is (A ∪ B)' equal to?
Class 10 · Mathematics · Medium
→If U = {1,2,...,30}, A = {x : x is a multiple of 2}, and B = {x : x is a multiple of 3}, what is the smallest element of (A ∪ B)'?
Class 10 · Mathematics · Medium
→If U = ℝ, A = (1,4] and B = [4,7), what is (A ∪ B)'?
Class 10 · Mathematics · Hard
→If \(U=\{1,2,\ldots,24\}\), \(A=\{x:x\text{ is divisible by }2\}\), \(B=\{x:x\text{ is divisible by }3\}\), and \(C=\{x:x\text{ is divisible by }4\}\), what is \(|(A\cup B\cup C)'|\)?
Class 10 · Mathematics · Medium
→If the universal set is \(U=\{1,2,\ldots,32\}\) and \(A=\{x:x=2^n,\ n\in\mathbb{N},\ 0\le n\le 5\}\), what is the value of \(|A'|\)?
Class 10 · Mathematics · Medium
→If the universal set is \(U=\{1,2,\ldots,27\}\), \(A=\{x\in U:x\text{ is a multiple of }3\}\), and \(B=\{x\in U:x\text{ is a multiple of }9\}\), how many elements are in \(A'\cup B\)?
Class 10 · Mathematics · Easy
→If the complement of \(A\) with respect to the universal set \(U\) is \(A'=\varnothing\), which statement about \(A\) is correct?
Class 10 · Mathematics · Hard
→If \(U=\mathbb R\), \(A=\{x:-1\le x<5\}\), and \(B=\{x:2<x\le 8\}\), what is \(A'\cup B'\)?
Class 10 · Mathematics · Medium
→If \(U=\{x:x\in\mathbb N, x\le 35\}\) and \(A=\{x:x\text{ is a composite number}\}\), what type of elements will be in \(A'\)?
Class 10 · Mathematics · Easy
→If \(U=\{1,2,\ldots,16\}\), \(A=\{1,4,9,16\}\), and \(B=\{2,4,6,8,10,12,14,16\}\), what is \(A\cap B'\)?
Class 10 · Mathematics · Medium
→If \(U=\{1,2,\ldots,60\}\), \(A=\{x:x\text{ is divisible by }6\}\), and \(B=\{x:x\text{ is divisible by }10\}\), what is \(|(A\cap B)'|\)?
Class 12 · Mathematics · Medium
→If \((A\cap B')\cup(A'\cap B')=B'\), this is an example of which rule?
Class 10 · Mathematics · Medium
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