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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 ∈ ℕ, x ≤ 40}, A = {x ∈ U : x is even}, and B = {x ∈ U : x is a square number}, what is n(A′ ∩ B′)?Class 10SetsComplement of a Set and Its PropertiesLevel 20Easy MathematicsIf U = {1, 2, ..., 18}, A = {2, 4, 6, 8, 10, 12, 14, 16, 18}, and B = {3, 6, 9, 12, 15, 18}, what is A′ ∪ B′?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf the universal set is U = ℝ and A = {x ∈ ℝ : x² − 6x + 8 > 0}, what is A′?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf U = {1, 2, ..., 70}, A = {x ∈ U : 2 divides x}, and B = {x ∈ U : 7 divides x}, what is n((A − B)′)?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf U = {1, 2, ..., 25} and A = {x ∈ U : 5 is a divisor of x}, how many prime numbers are in A′?Class 10SetsComplement of a Set and Its PropertiesLevel 20Easy MathematicsIf, with respect to a universal set, a set A satisfies A = A′, which statement about A is correct?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf U = {1, 2, ..., 16}, A = {x ∈ U : x is a square number}, and B = {x ∈ U : x is odd}, what is A′ ∩ B?Class 10SetsComplement of a Set and Its PropertiesLevel 20Easy MathematicsIf U = ℝ, A = [−5, 1), and B = (3, 8], what is (A ∪ B)′?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf U = {1, 2, ..., 45}, A = {x ∈ U : 3 divides x}, and B = {x ∈ U : 5 divides x}, what is n(A′ ∪ B′)?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf U = {a, b, c, d, e, f, g, h}, A = {a, d, g}, and B = {b, d, e, h}, what is A′ ∩ B′?Class 10SetsComplement of a Set and Its PropertiesLevel 20Easy MathematicsLet U = {1, 2, …, 30}, A = {x ∈ U : x is even}, and B = {x ∈ U : x is prime}. What is A′ ∩ B?Class 10SetsComplement of a Set and Its PropertiesLevel 20Easy MathematicsIf A ⊆ B ⊆ U, n(U) = 150, n(A) = 64, and n(B) = 97, what is n(A′ ∩ B)?Class 10SetsComplement of a Set and Its PropertiesLevel 20Easy MathematicsIf U = ℝ and A = (−∞, −4] ∪ (2, 6), what is A′, the complement of A in ℝ?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf U = {x : x ∈ Z, -10 ≤ x ≤ 10} and A = {x : x ∈ U, x² ≤ 16}, what is n(A′)?Class 10SetsComplement of a Set and Its PropertiesLevel 20Easy MathematicsLet U = {1, 2, 3, …, 60}. If A = {x ∈ U : 4 divides x} and B = {x ∈ U : 9 divides x}, how many elements are in the complement of A ∪ B with respect to U?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsWhich is the correct pair of roots of x^2+3x-18=0?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsWhich statement is always true about x^2-(a+3)x+3a=0?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsIf α and β are roots of x^2+px+q=0 and α+1 and β+1 are roots of x^2-5x+6=0, what are p and q?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsFor the general quadratic equation ax^2+bx+c=0, which relation is correct when the roots are equal?Class 10Quadratic EquationsNature of RootsLevel 33Medium MathematicsThe roots of x^2-5x+6=0 are α and β. Which equation has roots α+1 and β+1?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard