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Complement

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 \(A\) 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 MathematicsIf A △ B = (A ∩ B′) ∪ (A′ ∩ B), what is (A △ B)′ equal to?Class 10SetsComplement of a Set and Its PropertiesLevel 20Hard MathematicsIf U = {1,2,…,100} and A = {x : x is not divisible by 7}, what is |A′|?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf U = {1, 2, …, 12}, A = {1, 2, 3, 4, 5, 6}, and B = {4, 5, 6, 7, 8}, what is (A − B)′?Class 10SetsComplement of a Set and Its PropertiesLevel 20Easy MathematicsIf U = R and A = {x ∈ R : x² − 9 > 0}, what is A′?Class 10SetsComplement of a Set and Its PropertiesLevel 20Hard MathematicsIf U = {1,2,…,18} and A′ = {2,3,5,7,11,13,17}, how many elements are in A?Class 10SetsComplement of a Set and Its PropertiesLevel 20Easy MathematicsIf U = {1, 2, …, 50}, A = {x : x is divisible by 4}, and B = {x : x is divisible by 6}, what is |A′ ∩ B|?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsWhich statement is always false if U ≠ ∅?Class 10SetsComplement of a Set and Its PropertiesLevel 20Easy MathematicsIf U = ℝ and A = [0, 4) ∪ (7, 10], what is A′?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf U = {1, 2, ..., 30}, A is the set of numbers divisible by 2, and B is the set of numbers divisible by 3, what is |A' ∪ B'|?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsFor subsets A and B of a universal set U, which statement correctly represents De Morgan’s law?Class 10SetsComplement of a Set and Its PropertiesLevel 20Easy MathematicsIf U = R and A = {x | x ≤ 1 or x > 9}, what is A'?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf A − B = ∅, which conclusion is always correct?Class 10SetsComplement of a Set and Its PropertiesLevel 20Easy