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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 \(A'\cap B'=A'\), which of the following conclusions is always true?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsFor subsets \(A\) and \(B\) of a universal set \(U\), if \(A\subseteq B\), which relation between their complements is always true?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf U = {1, 2, ..., 30}, A = {x : x is even}, and B = {x : x is prime}, what is |A' ∩ B'|?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf A Δ B denotes the symmetric difference of A and B, what does (A Δ B)' represent?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf U = {1, 2, …, 144} and A = {x : x is not divisible by 12}, what is |A′|?Class 10SetsComplement of a Set and Its PropertiesLevel 10EasyMathematicsIf U = {1, 2, ..., 18}, A = {2, 4, 6, 8, 10, 12}, and B = {6, 9, 12, 15, 18}, what is (B − A)'?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf U = R and A = {x : x² − 4x − 12 < 0}, what is A'?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf U = {1, 2, …, 24} and A′ = {1, 5, 7, 11, 13, 17, 19, 23}, how many elements are in A?Class 10SetsComplement of a Set and Its PropertiesLevel 10EasyMathematicsIf U = {1, 2, ..., 70}, A = {x : x is divisible by 5}, and B = {x : x is divisible by 7}, what is |A' ∩ B|?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf U ≠ ∅, which statement cannot always be true?Class 10SetsComplement of a Set and Its PropertiesLevel 21EasyMathematicsIf the universal set is U = R and A = (-∞, -1) ∪ [3, 8), what is A'?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf the universal set is U = {1, 2, ..., 42}, A = {x ∈ U : x is divisible by 3}, and B = {x ∈ U : x is divisible by 7}, what is |A' ∪ B'|?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf |U| = 90, |A ∩ B| = 24, |A′ ∩ B| = 17, and |A′ ∩ B′| = 29, what is |A ∩ B′|?Class 10SetsComplement of a Set and Its PropertiesLevel 21HardMathematicsIf A ⊆ B and B′ ⊆ C, which statement about A′ is always true?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf the universal set is U = ℝ and A = {x ∈ ℝ : x < −4 or x ≥ 2}, what is A′?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf B − A = B, which conclusion is always correct?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf U = {1, 2, …, 36}, A is the set of multiples of 4 and B is the set of perfect squares, which element belongs to A′ ∩ B′?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf U = {p, q, r, s, t, u, v, w}, A′ = {q, s, w}, and B′ = {p, s, u}, what is (A ∪ B)′?Class 10SetsComplement of a Set and Its PropertiesLevel 21MediumMathematicsIf U = {1, 2, …, 120}, and A, B, C are respectively the sets of multiples of 4, 6, and 10, what is |(A ∪ B ∪ C)′|?Class 10SetsComplement of a Set and Its PropertiesLevel 21HardMathematicsIf A ∩ B = U, what is A′ ∪ B′?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium