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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 U = ℝ and A = {x : x² − 2x − 8 ≤ 0}, what is A'?Class 10SetsComplement of a Set and Its PropertiesLevel 10Hard MathematicsLet 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 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsLet 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 10SetsComplement of a Set and Its PropertiesLevel 10Hard MathematicsIf A' ∪ B' = U, what conclusion is correct about A ∩ B?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf U = ℝ and A = {x : 0 < x < 2 or 5 ≤ x < 9}, what is A'?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf 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 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf A ∩ B = ∅, what is (A ∪ B)' equal to?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIf 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 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf U = ℝ, A = (1,4] and B = [4,7), what is (A ∪ B)'?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf \(U=\{1,2,\ldots,24\}\), \(A=\{x:x\text{ is divisible by }2\}\), \(B=\{x:x\text{ is divisible by }3\}\), and \(C=\{x:x\text{ is divisible by }4\}\), what is \(|(A\cup B\cup C)'|\)?Class 10SetsComplement of a Set and Its PropertiesLevel 20Hard MathematicsIf 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 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf 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 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf the complement of \(A\) with respect to the universal set \(U\) is \(A'=\varnothing\), which statement about \(A\) is correct?Class 10SetsComplement of a Set and Its PropertiesLevel 20Easy MathematicsIf \(U=\mathbb R\), \(A=\{x:-1\le x<5\}\), and \(B=\{x:2<x\le 8\}\), what is \(A'\cup B'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 20Hard MathematicsIf \(U=\{x:x\in\mathbb N, x\le 35\}\) and \(A=\{x:x\text{ is a composite number}\}\), what type of elements will be in \(A'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf \(U=\{1,2,\ldots,16\}\), \(A=\{1,4,9,16\}\), and \(B=\{2,4,6,8,10,12,14,16\}\), what is \(A\cap B'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 20Easy MathematicsIf \(U=\{1,2,\ldots,60\}\), \(A=\{x:x\text{ is divisible by }6\}\), and \(B=\{x:x\text{ is divisible by }10\}\), what is \(|(A\cap B)'|\)?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf \(A \cup B' = B'\), which of the following conclusions is always true?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf U = R and A = (−∞,−4] ∪ (3,∞), what is A′?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf U = {1,2,…,20}, A = {x : x is even}, and B = {x : x is prime}, how many elements are in A′ ∩ B′?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium