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Class 10 · Mathematics
→If U = {x : x ∈ ℕ, x ≤ 40}, A is the set of numbers divisible by 4, and B is the set of numbers divisible by 6, what is |(A ∩ B)′|?
Class 10 · Mathematics
→If A ∪ A′ = U and A ∩ A′ = ∅, what kind of set is A′ with respect to A?
Class 10 · Mathematics
→If U = {a, b, c, d, e, f, g, h}, A' = {b, d, f, h}, and B = {a, b, c, d}, what is A ∩ B'?
Class 10 · Mathematics
→If U = {1, 2, ..., 50}, A is the set of multiples of 2, and B is the set of multiples of 5, what is |A' ∩ B'|?
Class 10 · Mathematics
→If (A ∩ B)′ = A′ ∩ B′ holds in a universal set U, what can be said about A and B?
Class 10 · Mathematics
→If A' ∩ B' = ∅, what is the correct conclusion about A ∪ B?
Class 10 · Mathematics
→If U = R, A = (−∞, 3), and B = [1, ∞), what is (A ∩ B)'?
Class 10 · Mathematics
→If U = ℝ and A = (2, 7], what is A′?
Class 10 · Mathematics
→If A − B = A ∩ B', then (A − B)' is equal to which expression?
Class 10 · Mathematics
→If |U| = 100, |A'| = 58, |B'| = 47, and |A ∩ B| = 21, what is the value of |(A ∪ B)'|?
Class 10 · Mathematics
→If |U| = 80, |A| = 35, |B| = 40, and |A ∩ B| = 15, what is |(A ∪ B)ᶜ|?
Class 10 · Mathematics
→If U = {1,2,...,20}, A is the set of even numbers in U, and B is the set of multiples of 5 in U, which set does Aᶜ ∩ Bᶜ represent?
Class 10 · Mathematics
→If U is the universal set, then (A ∩ B')' is equal to which of the following?
Class 10 · Mathematics
→If A ⊆ B ⊆ U, which relation is always true?
Class 10 · Mathematics
→If U = {x : x ∈ ℤ, −5 ≤ x ≤ 5} and A = {x : x² ≤ 9}, what is A'?
Class 10 · Mathematics
→If U = {1, 2, ..., 30}, A is the set of prime numbers and B is the set of multiples of 3, then how many elements are in (A ∪ B)'?
Class 10 · Mathematics
→If U = {x : x ∈ N, 1 ≤ x ≤ 30} and A = {x ∈ U : x is divisible by both 2 and 3}, what is n(Aᶜ)?
Class 10 · Mathematics
→If U = {1,2,3,4,5,6,7,8,9}, A = {1,2,3,4}, B = {3,4,5,6}, and C = {5,6,7,8}, what is (A ∪ B ∪ C)ᶜ?
Class 10 · Mathematics
→If U = {1,2,3,4,5,6,7,8,9,10,11,12}, A = {1,2,3,4,5,6}, and B = {2,4,6,8,10,12}, what is Aᶜ ∩ B?
Class 10 · Mathematics
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