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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।

MathematicsLet \(U=\{1,2,\ldots,60\}\), \(A=\{x\in U:x\text{ is a multiple of }6\}\), and \(B=\{x\in U:x\text{ is a multiple of }18\}\). Then \(A'\cap B'\) is equal to which of the following?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIn a group of 150 students, 82 study mathematics, 74 study biology, and 36 study both subjects. How many study neither subject?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 21Medium MathematicsIf, with respect to the universal set, \(A'\cup B=B\), which of the following conclusions is correct?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf U = R and A = {x ∈ R : x² + x − 6 ≥ 0}, what is A'?Class 10SetsComplement of a Set and Its PropertiesLevel 21Hard MathematicsIf U = {1, 2, ..., 33} and A = {x : x is divisible by 3}, how many even elements are in A'?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf U = {1, 2, ..., 77}, A = {x ∈ U : x is divisible by 7}, and B = {x ∈ U : x is divisible by 11}, what is |A' ∩ B'|?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf A' ∩ B' = U, what is the correct conclusion about A ∪ B?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf U = R and A = {x ∈ R : −5 ≤ x < −1 or 2 < x ≤ 7}, what is A'?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf U = {1, 2, ..., 16}, A = {1, 3, 5, 7, 9, 11, 13, 15}, and B = {1, 2, 3, 5, 8, 13}, what is A' ∩ B'?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf A ∪ B = ∅, what is A' ∩ B' equal to?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf U = {1, 2, ..., 45}, A = {x : x is a multiple of 3}, and B = {x : x is a multiple of 5}, what is the greatest element of (A ∪ B)'?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf U = R, A = [-3, 2) and B = (2, 6], what is (A ∪ B)'?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf U = {1, 2, ..., 36}, A = {x ∈ U : x is divisible by 2}, B = {x ∈ U : x is divisible by 3}, and C = {x ∈ U : x is divisible by 6}, what is |(A ∪ B ∪ C)'|?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf \(U=\{1,2,\ldots,64\}\) and \(A=\{x:x=2^n,\ n\in\mathbb N,\ 1\le n\le6\}\), what is the cardinality \(|A'|\) of the complement of \(A\) in \(U\)?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf \(U=\{1,2,\ldots,32\}\), \(A=\{x:x\text{ is a multiple of }4\}\), and \(B=\{x:x\text{ is a multiple of }16\}\), how many elements are in \(A'\cup B\)?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf \(U'=\varnothing\), which statement about \(U\) is correct?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf U = ℝ, A = {x : −2 < x ≤ 4} and B = {x : 1 ≤ x < 7}, what is A′ ∪ B′?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf U = {1, 2, …, 20}, A = {1, 4, 9, 16} and B = {3, 6, 9, 12, 15, 18}, what is A ∩ B′?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf \(U=\{1,2,\ldots,84\}\), \(A=\{x:x\text{ is divisible by }12\}\), and \(B=\{x:x\text{ is divisible by }21\}\), what is \(|(A\cap B)'|\)?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf \((A\cup B')\cap(A'\cup B')=B'\), which simplification shows it correctly?Class 10SetsComplement of a Set and Its PropertiesLevel 21Hard