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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 \(U=\{x:x\in\mathbb{N},1\le x\le 30\}\) 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 MathematicsIf U = {1,2,3,4,5,6,7,8,9,10}, A = {1,2,3,4,5}, and B = {4,5,6,7}, what is Aᶜ ∪ Bᶜ?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsLet U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}, A = {2, 4, 6, 8, 10, 12}, and B = {3, 6, 9, 12}. What is Aᶜ ∩ Bᶜ?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf x = −4 is a root of 2x² + px − 8 = 0, what is the value of p?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Easy MathematicsWhich monic quadratic equation has sum of roots 10 and product of roots 21?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Easy MathematicsIf the product of two real roots is positive and their sum is positive, how must both roots be?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsIf B is called the complement of A, which statement must be true?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIn 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 MathematicsIf U = {x ∈ ℤ | -3 ≤ x ≤ 4} and A = {-2,0,2,4}, what is Aᶜ?Class 10SetsComplement of a Set and Its PropertiesLevel 21Easy MathematicsIf the universal set is U = [0, 12] and A = (3, 8], what is the complement Aᶜ of A with respect to U?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy