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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 = {1,2,3,4,5,6} and A is a set such that A = Aᶜ, which statement is correct?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsFrom the statements A ∩ Aᶜ = ∅ and A ∪ Aᶜ = U, which conclusion follows?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsLet the universal set be \(U=\{1,2,3,4,5,6,7,8\}\) and \(A=\{1,3,5,7\}\). If \(C=A^c\), what is the value of \(C^c\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium 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 U = {x : x is a digit} and A = {x : x is an even digit}, how many elements are in Aᶜ?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf the universal set \(U=\{1,2,3,4,5,6,7,8,9\}\) and \(A=\{2,4,6\}\), what is the value of \(A^c\setminus\{1,3,5\}\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf 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 19Medium MathematicsIf the universal set U = {1, 2, 3, 4, 5, 6, 7, 8} and A = {1, 2, 3, 4, 5}, what is the value of (Aᶜ)ᶜ ∩ {2, 4, 6, 8}?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf A ∪ Aᶜ = U and A ∩ Aᶜ = ∅, then n(A) + n(Aᶜ) is equal to what?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf A ∩ B = ∅ and A ∪ B = U, then B is equal to what?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf the universal set is U = {a, b, c, d, e, f}, A = {a, c, e}, and B = {b, d, f}, which of the following statements is correct?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf the universal set U = {1, 2, 3, 4, 5, 6} and A = {1, 2, 3}, which set B satisfies B = Aᶜ?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, and Aᶜ ⊆ B ⊆ U, what is the smallest possible set B?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 the universal set is U = {1, 2, 3, ..., 25} and A = {x ∈ U : x is a perfect square}, how many elements does Aᶜ contain?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsA 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 19Easy MathematicsIf U has 120 students, 72 study Hindi and 55 study English, while 30 study both, how many students study neither Hindi nor English?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf 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 19Easy MathematicsIf the universal set is \(U=\{1,2,3,4,5,6,7,8,9,10\}\) and \(A=\{x\mid x\in U\text{ and }x^2-5x+6=0\}\), what is the complement \(A^c\) of \(A\) with respect to \(U\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf \(U=\{x\in\mathbb{N}\mid 1\le x\le 50\}\) 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 19Easy