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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, ..., 18}, A = {2, 4, 6, 8, 10, 12, 14, 16, 18}, and B = {1, 2, 3, 5, 8, 13}, what is A′ ∩ B′?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf U = {1, 2, ..., 64} and A = {x : x ∈ U, x = 2^k where k ∈ N₀}, how many numbers divisible by 4 are in A′?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf U = R and A = {x ∈ R : x² + 2x − 8 < 0}, what is A′?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf A ∪ B′ = U, which of the following statements must be true?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf U = {1, 2, ..., 20}, A = {x ∈ U : x ≤ 12}, and B = {x ∈ U : x is odd}, what is A' ∩ B?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf n(U) = 300, n(A') = 120, n(B') = 150, and n(A' ∪ B') = 210, what is n(A ∪ B)?Class 10SetsComplement of a Set and Its PropertiesLevel 21HardMathematicsIf U = {x ∈ Z : -5 ≤ x ≤ 15} and A = {x ∈ U : x ≡ 2 (mod 5)}, what is n(A')?Class 10SetsComplement of a Set and Its PropertiesLevel 21HardMathematicsIf U = {1, 2, ..., 36} and A = {x : x ∈ U and x is not prime}, how many elements are in A'?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf U = ℝ, A = (-2, 6], and B = [0, 9), what is A' ∪ B'?Class 10SetsComplement of a Set and Its PropertiesLevel 21HardMathematicsIf U = {1, 2, ..., 72}, A = {x ∈ U : 4 divides x}, B = {x ∈ U : 6 divides x}, and C = {x ∈ U : 9 divides x}, what is n((A ∪ B ∪ C)')?Class 10SetsComplement of a Set and Its PropertiesLevel 21HardMathematicsIf A ∩ B = A ∩ B', which conclusion must be true?Class 10SetsComplement of a Set and Its PropertiesLevel 21HardMathematicsLet U = {1, 2, ..., 30}, A = {x : x ∈ U and x is a perfect square}, and B = {x : x ∈ U and x is even}. What is A' ∩ B?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf the universal set is U = R and A = {x ∈ R : |x + 1| ≥ 4}, what is A'?Class 10SetsComplement of a Set and Its PropertiesLevel 21HardMathematicsIf the universal set U = {a, b, c, d, e, f, g, i}, A = {a, c, f}, and B = {b, c, e, i}, what is the value of (A ∪ B)'?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf U = {1, 2, ..., 40}, A is the set of multiples of 5, and B is the set of multiples of 8, what is n((A ∩ B)′)?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf U = {1, 2, ..., 42}, A is the set of multiples of 3, and B is the set of multiples of 7, what is n((A − B)′)?Class 10SetsComplement of a Set and Its PropertiesLevel 21HardMathematicsIf A ⊆ B ⊆ C ⊆ U, which relation is always true?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf U = ℝ and A = (−∞, −5) ∪ [1, 4] ∪ (9, ∞), what is A′?Class 10SetsComplement of a Set and Its PropertiesLevel 21HardMathematicsIf U = {x : x ∈ ℤ, −12 ≤ x ≤ 12} and A = {x : x ∈ U, x² − 9x + 18 ≤ 0}, what is n(A′)?Class 10SetsComplement of a Set and Its PropertiesLevel 21HardMathematicsIf U = {x : x ∈ ℕ, x ≤ 96}, A = {x : x ∈ U, 8 divides x}, and B = {x : x ∈ U, 12 divides x}, what is n(A′ ∩ B′)?Class 10SetsComplement of a Set and Its PropertiesLevel 21Hard