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Complement Of A Set And Its Properties

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

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 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 MathematicsLet the universal set be \(U=\{1,2,3,4,5,6,7,8\}\), \(A=\{1,3,5,7\}\), and \(B=\{2,3,5,8\}\). What is the value of \((A-B)^c\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf the universal set is \(U=\{1,2,3,4,5,6,7,8,9\}\), \(A=\{1,2,3,4\}\), and \(B=\{4,5,6\}\), what is the value of \(A^c-B^c\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf \(n(U)=100\), \(n(A^c)=40\), \(n(B^c)=55\), and \(n(A^c\cap B^c)=20\), what is \(n(A\cap B)\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf \(A\subseteq U\), which statement is always true with respect to the universal set \(U\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf Aᶜ ⊆ Bᶜ, which of the following conclusions is correct?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf A ⊆ B ⊆ U, which of the following is always true?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf U = (-5,5] and A = [-1,3), what is Aᶜ?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf the universal set is U = [-2, 6] and A = (1, 4], what is the complement Aᶜ of A with respect to U?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsLet U = {x : x ∈ ℤ, -4 ≤ x ≤ 4} and A = {x : x² ≤ 4}. What is the complement Aᶜ of A with respect to U?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf 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 19Medium