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Mathematics

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

MathematicsIf \(U=\{1,2,\ldots,50\}\) and \(A=\{x\in U:5\mid x\}\), what is the value of \(n(A')\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsWith respect to a universal set, which statement correctly represents De Morgan's law for three sets?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf the universal set is \(U=\{x:x\in\mathbb{Z},\ 0\le x\le 10\}\) and \(A=\{x:x\in U\text{ and }x^2-5x+6=0\}\), which of the following is the complement \(A'\) of \(A\) with respect to \(U\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf \(U=\mathbb{N}\) and \(A=\{x:x\in\mathbb{N}\text{ and }x\text{ is odd}\}\), what is \(A'\) with respect to \(U\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf the universal set is \(U=\{1,2,\ldots,12\}\), \(A=\{2,4,6,8,10,12\}\), and \(B=\{3,6,9,12\}\), what is the complement of \(A-B\) with respect to \(U\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf n(U) = 80, n(A) = 35, n(B) = 42, and n(A ∩ B) = 18, find n((A ∪ B)′).Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf \(U=\{a,b,c,d,e,f\}\), \(A=\{a,c,e\}\), and \(B=\{b,c,f\}\), what is \(A'\cap B'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsLet U = {1, 2, …, 30}, A = {x ∈ U | 2 divides x}, and B = {x ∈ U | 3 divides x}. How many elements are in (A ∪ B)′?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsFor a universal set \(U\), suppose that a set \(A\) is equal to its own complement, \(A=A'\). Which statement about \(U\) must be true?Class 10SetsComplement of a Set and Its PropertiesLevel 19Hard MathematicsIf U = {x ∈ ℤ | −5 ≤ x ≤ 5} and A = {x ∈ U | x² < 10}, find A′, the complement of A with respect to U.Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsLet \(U=\{1,2,3,\ldots,20\}\) and \(A=\{x:x\in U\text{ and }x\text{ is prime}\}\). What is \(A'\), the complement of \(A\) with respect to \(U\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsLet \(U=\{1,2,\ldots,54\}\), \(A=\{x:x\text{ is divisible by }6\}\), and \(B=\{x:x\text{ is divisible by }9\}\). What is \(|A'\cup B'|\)?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium 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