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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 = {x in N : x <= 60}, A = {multiples of 3 in U}, and B = {multiples of 4 in U}. What is n((A intersection B)')?Class 10SetsComplement of a Set and Its PropertiesLevel 19MediumMathematicsIf \(U=\{1,2,\ldots,40\}\), \(A=\{x:x\in U\text{ and }2\mid x\}\), and \(B=\{x:x\in U\text{ and }5\mid x\}\), what is \(n(A'\cap B')\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19MediumMathematicsIf \(n(U)=120\) and \(n(A')=47\), what is \(n(A)\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19EasyMathematicsIf \(U=\{x:x\in\mathbb{N},x\le25\}\) and \(A=\{x:x\in U\text{ and }x\text{ is a square number}\}\), how many elements are in \(A'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19EasyMathematicsIf \(U=\{1,2,\ldots,50\}\) and \(A=\{x\in U:5\mid x\}\), what is the value of \(n(A')\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19EasyMathematicsIf 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 19MediumMathematicsLet 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 19MediumMathematicsLet \(U=\{1,2,\ldots,54\}\), \(A=\{x:x\text{ is divisible by }6\}\), and \(B=\{x:x\text{ is divisible by }9\}\). What is \(|A'\cup B'|\)?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf \(U=\{1,2,\ldots,64\}\) 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 21MediumMathematicsIf \(U=\{1,2,\ldots,84\}\), \(A=\{x:x\text{ is divisible by }12\}\), and \(B=\{x:x\text{ is divisible by }21\}\), what is \(|(A\cap B)'|\)?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf U = {1, 2, ..., 30}, A = {x : x is even}, and B = {x : x is prime}, what is |A' ∩ B'|?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf U = {1, 2, …, 24} and A′ = {1, 5, 7, 11, 13, 17, 19, 23}, how many elements are in A?Class 10SetsComplement of a Set and Its PropertiesLevel 10EasyMathematicsIf the universal set is U = {1, 2, ..., 42}, A = {x ∈ U : x is divisible by 3}, and B = {x ∈ U : x is divisible by 7}, what is |A' ∪ B'|?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf |U| = 90, |A ∩ B| = 24, |A′ ∩ B| = 17, and |A′ ∩ B′| = 29, what is |A ∩ B′|?Class 10SetsComplement of a Set and Its PropertiesLevel 21HardMathematicsIf U = {1, 2, …, 120}, and A, B, C are respectively the sets of multiples of 4, 6, and 10, what is |(A ∪ B ∪ C)′|?Class 10SetsComplement of a Set and Its PropertiesLevel 21HardMathematicsIf \(|U|=180\), \(|A|=85\), \(|B'|=110\), and \(|A\cap B|=28\), what is the value of \(|(A\cup B)'|\)?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf 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 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 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 20EasyMathematicsIf \(|U|=150\), \(|A'|=92\), \(|B'|=76\), and \(|A\cap B|=31\), what is \(|(A\cup B)'|\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 20Hard