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Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf A′ ⊆ B′, which conclusion is always correct?Class 10SetsComplement of a Set and Its PropertiesLevel 20MediumMathematicsIf U = ℝ, A = (−6, 1] and B = [−2, 5), what is (A ∪ B)′?Class 10SetsComplement of a Set and Its PropertiesLevel 20MediumMathematicsIf U = {x : x ∈ ℤ, −10 ≤ x ≤ 10} and A = {x : x² − 9x + 20 ≤ 0}, what is A′?Class 10SetsComplement of a Set and Its PropertiesLevel 20HardMathematicsIf U = {1, 2, …, 96}, A = {x : x is divisible by 6}, and B = {x : x is divisible by 8}, what is |(A ∪ B)′|?Class 10SetsComplement of a Set and Its PropertiesLevel 20MediumMathematicsIf U = {1, 2, …, 84}, A = {x : x is divisible by 6}, and B = {x : x is divisible by 14}, what is |(A ∩ B)′|?Class 10SetsComplement of a Set and Its PropertiesLevel 20MediumMathematicsIf U = ℝ and A = {x : −3 ≤ x < 4 or 7 < x ≤ 10}, what is A′?Class 10SetsComplement of a Set and Its PropertiesLevel 20MediumMathematicsIf U = {1, 2, …, 36}, A = {x : x is divisible by 2}, and B = {x : x is divisible by 3}, what is |A′ ∩ B′|?Class 10SetsComplement of a Set and Its PropertiesLevel 20MediumMathematicsIf A and B are subsets of a universal set U and A is a subset of B, which of the following statements is always true?Class 10SetsComplement of a Set and Its PropertiesLevel 20MediumMathematicsIn a class of 80 students, 46 play cricket, 38 play football, and 20 play both. How many students play neither game?Class 10SetsComplement of a Set and Its PropertiesLevel 10MediumMathematicsIf U = ℝ and A = {x : x² − 2x − 8 ≤ 0}, what is A'?Class 10SetsComplement of a Set and Its PropertiesLevel 10HardMathematicsLet 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 10HardMathematicsIf A' ∪ B' = U, what conclusion is correct about A ∩ B?Class 10SetsComplement of a Set and Its PropertiesLevel 10MediumMathematicsIf U = ℝ and A = {x : 0 < x < 2 or 5 ≤ x < 9}, what is A'?Class 10SetsComplement of a Set and Its PropertiesLevel 10MediumMathematicsIf 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 10MediumMathematicsIf A ∩ B = ∅, what is (A ∪ B)' equal to?Class 10SetsComplement of a Set and Its PropertiesLevel 10EasyMathematicsIf 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 10MediumMathematicsIf U = ℝ, A = (1,4] and B = [4,7), what is (A ∪ B)'?Class 10SetsComplement of a Set and Its PropertiesLevel 10MediumMathematicsIf \(U=\{1,2,\ldots,24\}\), \(A=\{x:x\text{ is divisible by }2\}\), \(B=\{x:x\text{ is divisible by }3\}\), and \(C=\{x:x\text{ is divisible by }4\}\), what is \(|(A\cup B\cup C)'|\)?Class 10SetsComplement of a Set and Its PropertiesLevel 20HardMathematicsIf 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 20MediumMathematicsIf 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