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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।

MathematicsIf A ∪ Aᶜ = U, n(A) = 27, and n(Aᶜ) = 33, what is n(U)?Class 10SetsComplement of a Set and Its PropertiesLevel 10EasyMathematicsLet 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 10EasyMathematicsIf 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 10EasyMathematicsIn 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 10MediumMathematicsIf U = {x ∈ ℤ : −6 ≤ x ≤ 6} and A = {x ∈ U : x² = 16}, what is n(Aᶜ)?Class 10SetsComplement of a Set and Its PropertiesLevel 10EasyMathematicsIf U = {1,2,3,…,60} and A = {x ∈ U : 6 divides x}, what is n(Aᶜ)?Class 10SetsComplement of a Set and Its PropertiesLevel 10EasyMathematicsIf 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 20MediumMathematicsIf 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 10MediumMathematicsIf U has n(U)=54 and a set A satisfies n(Aᶜ)=2n(A), what is the value of n(A)?Class 10SetsComplement of a Set and Its PropertiesLevel 19MediumMathematicsFor a finite universal set U, n(U)=64 and n(A)=3n(Aᶜ). What is the value of n(Aᶜ)?Class 10SetsComplement of a Set and Its PropertiesLevel 19MediumMathematicsIf U={1,2,3,4,5,6,7,8,9,10} and Aᶜ={1,4,9}, how many elements does A contain?Class 10SetsComplement of a Set and Its PropertiesLevel 19EasyMathematicsIf U={1,2,3,4,5,6,7,8,9,10,11,12}, A={1,2,3,4,5,6}, and B={2,4,6,8,10,12}, how many elements does Aᶜ∪Bᶜ contain?Class 10SetsComplement of a Set and Its PropertiesLevel 19MediumMathematicsIf U = {1,2,3,4,5,6,7,8,9,10} and A = {2,5,8}, how many elements are in Aᶜ ∪ {5}?Class 10SetsComplement of a Set and Its PropertiesLevel 19MediumMathematicsIf A ∪ Aᶜ = U and A ∩ Aᶜ = ∅, then n(A) + n(Aᶜ) is equal to what?Class 10SetsComplement of a Set and Its PropertiesLevel 19MediumMathematicsA class has 90 students, so the universal set U has n(U) = 90. If A is the set of students who like science and n(Aᶜ) = 34, how many students like science?Class 10SetsComplement of a Set and Its PropertiesLevel 19EasyMathematicsIf the universal set is \(U=\{x\in\mathbb{Z}:-5\le x\le 5\}\) and \(A=\{x\in U:x^2=9\}\), how many elements does the complement \(A^c\) contain?Class 10SetsComplement of a Set and Its PropertiesLevel 19EasyMathematicsIf \(U=\{x\in\mathbb{N}\mid 1\le x\le 50\}\) and \(A=\{x\in U\mid 5\mid x\}\), what is the value of \(n(A^c)\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19EasyMathematicsIf \(n(U)=100\), \(n(A^c)=40\), \(n(B^c)=55\), and \(n(A^c\cap B^c)=20\), what is \(n(A\cap B)\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19MediumMathematicsIf U = {x ∈ ℕ | 1 ≤ x ≤ 20} and A = {x ∈ U | x is a prime number}, how many elements does Aᶜ contain?Class 10SetsComplement of a Set and Its PropertiesLevel 19MediumMathematicsIn a class, U is the set of all students and A is the set of students who like mathematics. If n(U) = 55 and n(A) = 37, how many students do not like mathematics, that is, n(Aᶜ)?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy