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Complement Of A Set And Its Properties

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf A ⊆ B and B′ ⊆ C, which statement about A′ is always true?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf 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 21Medium MathematicsIf B − A = B, which conclusion is always correct?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf 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 21Medium MathematicsIf 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 21Medium MathematicsIf 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 21Hard MathematicsIf A ∩ B = U, what is A′ ∪ B′?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf U = ℝ and A = {x : |x + 2| ≤ 6}, what is A′?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsWhat is (A ∪ B′)′ equal to?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf U = {1, 2, …, 49}, A = {x : x is a perfect square}, and B = {x : x is odd}, what is |A′ ∩ B|?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf \(|U|=180\), \(|A|=85\), \(|B'|=110\), and \(|A\cap B|=28\), what is the value of \(|(A\cup B)'|\)?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf A′ ⊆ B′, which conclusion is always correct?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf U = ℝ, A = (−6, 1] and B = [−2, 5), what is (A ∪ B)′?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf U = {x : x ∈ ℤ, −10 ≤ x ≤ 10} and A = {x : x² − 9x + 20 ≤ 0}, what is A′?Class 10SetsComplement of a Set and Its PropertiesLevel 20Hard MathematicsIf U = {1, 2, …, 96}, A = {x : x is divisible by 6}, and B = {x : x is divisible by 8}, what is |(A ∪ B)′|?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf U = {1, 2, …, 84}, A = {x : x is divisible by 6}, and B = {x : x is divisible by 14}, what is |(A ∩ B)′|?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf U = ℝ and A = {x : −3 ≤ x < 4 or 7 < x ≤ 10}, what is A′?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf U = {1, 2, …, 36}, A = {x : x is divisible by 2}, and B = {x : x is divisible by 3}, what is |A′ ∩ B′|?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf A and B are subsets of a universal set U and A is a subset of B, which of the following statements is always true?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIn a class of 80 students, 46 play cricket, 38 play football, and 20 play both. How many students play neither game?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium