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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।

MathematicsThe roots of x^2-px+36=0 are positive integers and their difference is 5. What is p?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsIf U = {1, 2, ..., 20}, A = {x : x ∈ U and x is even}, and B = {x : x ∈ U and x is prime}, what is A′ ∩ B?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf A ⊆ B ⊆ U, n(U) = 90, n(B) = 54, and n(A) = 31, what is n(A′ ∩ B)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf U = ℝ and A = (−∞, −2) ∪ [3, 7], what is A′, the complement of A in ℝ?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf U = {x : x ∈ Z, -8 ≤ x ≤ 8} and A = {x : x ∈ U, x² - 2x - 15 ≤ 0}, how many elements are in A′?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf U = {x : x ∈ ℕ, x ≤ 48}, A = {x ∈ U : 4 divides x}, and B = {x ∈ U : 6 divides x}, what is n((A ∪ B)′)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Hard MathematicsIf U = {1, 2, ..., 10} and A = {x : x ∈ U and x² − 11x + 30 = 0}, what is A' ∩ {5, 6, 7, 8}?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf the universal set is U = ℝ, A = (−∞, 0] and B = [2, ∞), what is A′ ∩ B′?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf U = {1, 2, ..., 36} and A is the set of multiples of 6, how many multiples of 12 are in A′?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf U = {x : x ∈ ℤ, −10 ≤ x ≤ 10} and A = {x : x ∈ U and |x| ≤ 3}, what is n(A')?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIf U = {1, 2, ..., 20}, A = {x : x ∈ U and x ≤ 8}, and B = {x : x ∈ U and x ≥ 14}, what is (A ∪ B)′?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsLet A and B be two sets in a universal set U. Which of the following statements is always true?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf A ⊆ U, what is A ∩ U′ equal to?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf the universal set is U = {1, 2, ..., 30} and A = {x : x ∈ U and the last digit of x is 0 or 5}, what is n(A′)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf U = {a, b, c, d, e, g, h} and A = {a, e, h}, what is A′?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf U = {1, 2, ..., 12} and A = {1, 2, 3, 4, 5}, what is A' union A?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsLet A and B be subsets of U with A union B = U. Which statement about A' is always true?Class 10SetsComplement of a Set and Its PropertiesLevel 19Hard MathematicsIf U = {1, 2, ..., 25} and A is the set of non-prime elements of U, what is A'?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf U = R and A = {x in R : -1 < x <= 6}, what is A'?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf U = {1, 2, ..., 8}, A = {1, 2, 5}, and B = {2, 4, 6}, what is A' ∪ B', where the complement is taken with respect to U?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium