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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।

MathematicsLet U = {1, 2, 3, ..., 36} and A = {x ∈ U : x is a perfect square}. What is n(Aᶜ)?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIf n(U) = 96 and n(Aᶜ) = (1/3)n(U), what is the value of n(A)?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIn a survey of 150 people, 85 like tea, 70 like coffee, and 40 like both tea and coffee. How many people like neither tea nor coffee?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf U = {x ∈ ℤ : −6 ≤ x ≤ 6} and A = {x ∈ U : x² = 16}, what is n(Aᶜ)?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsWhich set has a complement equal to the universal set U?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIf U = {1,2,3,…,60} and A = {x ∈ U : 6 divides x}, what is n(Aᶜ)?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy 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 = {1,2,3,4,5,6,7,8,9}, A = {2,3,5,7}, and B = {1,2,3,4,5}, what is the complement of B − A with respect to U?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsLet U = {1,2,3,4,5,6,7,8,9,10}, A = {1,2,3,4,5}, and B = {4,5,6,7,8}. What is Aᶜ − Bᶜ?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf n(U) = 90, n(Aᶜ) = 35, n(Bᶜ) = 50, and n(Aᶜ ∩ Bᶜ) = 18, what is n(A ∩ B)?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf n(U) = 75, n(A) = 42, n(B) = 38, and n(A ∩ B) = 20, what is n((A ∪ B)ᶜ)?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsSuppose A and B are subsets of the same universal set. If Bᶜ ⊆ Aᶜ, which conclusion is correct?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf A ⊆ B ⊆ C ⊆ U, which relation is correct for their complements?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf \(U=(-4,6]\) and \(A=[0,2]\), what is \(A^c\)?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf \(U=[-3,7]\) and \(A=(-1,4)\), what is \(A^c\)?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf the universal set \(U=\{x\in\mathbb Z\mid -5\le x\le 5\}\) and \(A=\{x\in\mathbb Z\mid x^2<9\}\), what is the complement \(A^c\) of A?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf \(U=\{1,2,3,\ldots,20\}\), \(A=\{x:x\text{ is prime}\}\), and \(B=\{x:x\text{ is odd}\}\), what is \(A^c\cap B\)?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf \(U=\{1,2,3,\ldots,16\}\), \(A=\{1,4,9,16\}\), and \(B=\{2,4,6,8,10,12,14,16\}\), what is \((A\cup B)^c\)?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf \(U=\{1,2,3,\ldots,18\}\), \(A=\{x:x\text{ is divisible by }2\}\), and \(B=\{x:x\text{ is divisible by }3\}\), how many elements are in \(A^c\cap B^c\)?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf the roots of a quadratic equation are 4 and 1/4, which statement is correct about them?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Easy