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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।

MathematicsFor subsets A and B of a universal set U, which of the following statements is always true?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf U = {1,2,3,...,24}, A is the set of elements divisible by 4, and B is the set of elements divisible by 6, how many elements are in Aᶜ ∩ Bᶜ?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf the universal set is U = {1,2,3,...,10}, A = {2,4,6,8,10}, and B = {1,2,3,4,5}, what is (Aᶜ ∪ B)ᶜ?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsGiven U = {1, 2, 3, ..., 12}, A = {1, 2, 3, 4}, and B = {3, 4, 5, 6, 7}, what is (Aᶜ ∩ B)ᶜ?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf U1={1,2,3,4,5}, U2={1,2,3,4,5,6,7}, and A={2,5}, which extra elements are in A^c relative to U2 compared with A^c relative to U1?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf U is enlarged and A remains the same, what may happen to A^c?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf U ≠ ∅, which statement about A = Aᶜ is correct?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsWhich statement proves that A and A^c together form a partition of U?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf the universal set is U={1,2,3,...,10}, A={2,4,6,8,10}, and C=A^c, what is the value of C^c∩{1,2,3,4}?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf U={1,2,3,...,18} and A={x:x is divisible by both 2 and 5}, what is A^c?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf U = {x : x is a digit} and A = {x : x is a prime digit}, what is n(Aᶜ)?Class 10SetsComplement of a Set and Its PropertiesLevel 20Easy MathematicsWhich of the following statements about the complement of a set, with respect to a universal set, is always true?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIf U={1,2,3,...,12} and A={3,6,9,12}, how many elements are in A^c ∪ {6,12}?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsLet U = {1, 2, 3, 4, 5, 6, 7, 8, 9} and A = {1, 2, 3, 4, 5, 6}. What is (Aᶜ)ᶜ ∩ {3, 6, 9}?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIf A ∪ Aᶜ = U, n(A) = 27, and n(Aᶜ) = 33, what is n(U)?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIf P ∩ Q = ∅ and P ∪ Q = U, then Pᶜ is equal to which set?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsLet U = {a, b, c, d, e, g}, A = {a, d, g}, and B = {b, c, e}. Which statement is correct?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsLet U = {1, 2, 3, 4, 5, 6, 7} and A = {2, 4, 6}. Which set B satisfies Bᶜ = A?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsLet U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 2, 3, 4, 5, 6}, and Aᶜ ⊆ B ⊆ U. Which is the smallest possible set B?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsLet U = {1, 2, 3, ..., 20} and A = {x ∈ U : x is divisible by 4}. What is Aᶜ ∩ {x ∈ U : x is even}?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium