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Divisibility

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

MathematicsIf U = {x : x ∈ N, x ≤ 100} and A = {x : x is not divisible by 2}, then A' is the set of what?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf U = {x : x ∈ N, 1 ≤ x ≤ 30} and A = {x ∈ U : x is divisible by both 2 and 3}, what is n(Aᶜ)?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf U = {1,2,3,...,24}, A is the set of elements divisible by 4, and B is the set of elements divisible by 6, how many elements are in Aᶜ ∩ Bᶜ?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf U={1,2,3,...,18} and A={x:x is divisible by both 2 and 5}, what is A^c?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsLet U = {1, 2, 3, ..., 20} and A = {x ∈ U : x is divisible by 4}. What is Aᶜ ∩ {x ∈ U : x is even}?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf U = {1,2,3,…,40} and A = {x ∈ U : x is divisible by 4 or 5}, what is n(Aᶜ)?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf U = {x ∈ N : 1 ≤ x ≤ 12} and A = {x : x is divisible by both 2 and 3}, what is Aᶜ?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf the universal set is U = {1, 2, 3, ..., 15} and A = {x ∈ U : x is odd}, what is the value of Aᶜ ∩ {x ∈ U : 3 divides x}?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf \(U=\{x:x\in\mathbb{N},1\le x\le 30\}\) and \(A=\{x:x\text{ is divisible by }2\text{ or }3\}\), what is \(n(A^c)\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf A = {x : x ∈ N, x ≤ 60, 4 divides x} and B = {x : x ∈ N, x ≤ 60, 6 divides x}, what is |A \ B|?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf A = {x ∈ N : x ≤ 25 and x is odd} and B = {x ∈ N : x ≤ 25 and 3 divides x}, what is |A ∩ B|?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsLet U = {1, 2, ..., 50}, A = {x ∈ U | 2 divides x}, and B = {x ∈ U | 5 divides x}. How many elements are in A \ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf U = {1, 2, ..., 84}, A = {x ∈ U : 7 divides x}, and B = {x ∈ U : 12 divides x}, what is |A ∪ B|?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf U = {1, 2, ..., 90}, A = {x ∈ U : 6 divides x}, and B = {x ∈ U : 15 divides x}, what is |A ∪ B|?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf \(U=\{1,2,\ldots,100\}\), \(A=\{x\in U:4\mid x\}\), and \(B=\{x\in U:10\mid x\}\), what is \(|A\cap B|\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf U = {1, 2, …, 60}, A = {x ∈ U : 2 divides x}, and B = {x ∈ U : 3 divides x}, what is |A ∪ B|?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf \(U=\{1,2,\ldots,30\}\), \(A=\{x:x\in U,\ 2\mid x\}\) and \(B=\{x:x\in U,\ 3\mid x\}\), what is \(n(A\cup B)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16Medium MathematicsIf \(U=\{1,2,\ldots,40\}\), \(A=\{x:x\in U,\ 2\mid x\}\), \(B=\{x:x\in U,\ 3\mid x\}\), and \(C=\{x:x\in U,\ 5\mid x\}\), then what is \(n(A\cup B\cup C)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsLet \(U=\{1,2,\ldots,50\}\), \(A=\{x:x\in U,\ 4\mid x\}\), and \(B=\{x:x\in U,\ 6\mid x\}\). What is \(n(A\cap B)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf U = {1, 2, ..., 30}, A = {x : x ∈ U, 2 divides x}, and B = {x : x ∈ U, 5 divides x}, then what is n(A \ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium