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Class 10 · Mathematics

If U = {x : x ∈ ℕ, x ≤ 40}, A = {x ∈ U : x is even}, and B = {x ∈ U : x is a square number}, what is n(A′ ∩ B′)?

Class 10 · Mathematics

If U = {1, 2, ..., 18}, A = {2, 4, 6, 8, 10, 12, 14, 16, 18}, and B = {3, 6, 9, 12, 15, 18}, what is A′ ∪ B′?

Class 10 · Mathematics

If the universal set is U = ℝ and A = {x ∈ ℝ : x² − 6x + 8 > 0}, what is A′?

Class 10 · Mathematics

If U = {1, 2, ..., 70}, A = {x ∈ U : 2 divides x}, and B = {x ∈ U : 7 divides x}, what is n((A − B)′)?

Class 12 · Mathematics

If A ∩ B′ = A, which of the following conclusions must be true?

Class 10 · Mathematics

If U = {1, 2, ..., 25} and A = {x ∈ U : 5 is a divisor of x}, how many prime numbers are in A′?

Class 10 · Mathematics

If, with respect to a universal set, a set A satisfies A = A′, which statement about A is correct?

Class 10 · Mathematics

If U = {1, 2, ..., 16}, A = {x ∈ U : x is a square number}, and B = {x ∈ U : x is odd}, what is A′ ∩ B?

Class 10 · Mathematics

If U = ℝ, A = [−5, 1), and B = (3, 8], what is (A ∪ B)′?

Class 10 · Mathematics

If U = {1, 2, ..., 45}, A = {x ∈ U : 3 divides x}, and B = {x ∈ U : 5 divides x}, what is n(A′ ∪ B′)?

Class 10 · Mathematics

If U = {a, b, c, d, e, f, g, h}, A = {a, d, g}, and B = {b, d, e, h}, what is A′ ∩ B′?

Class 10 · Mathematics

Let U = {1, 2, …, 30}, A = {x ∈ U : x is even}, and B = {x ∈ U : x is prime}. What is A′ ∩ B?

Class 10 · Mathematics

If A ⊆ B ⊆ U, n(U) = 150, n(A) = 64, and n(B) = 97, what is n(A′ ∩ B)?

Class 10 · Mathematics

If U = ℝ and A = (−∞, −4] ∪ (2, 6), what is A′, the complement of A in ℝ?

Class 10 · Mathematics

If U = {x : x ∈ Z, -10 ≤ x ≤ 10} and A = {x : x ∈ U, x² ≤ 16}, what is n(A′)?

Class 10 · Mathematics

Let U = {1, 2, 3, …, 60}. If A = {x ∈ U : 4 divides x} and B = {x ∈ U : 9 divides x}, how many elements are in the complement of A ∪ B with respect to U?

Class 10 · Mathematics

If U = {1, 2, ..., 20}, A = {x : x ∈ U and x is even}, and B = {x : x ∈ U and x is prime}, what is A′ ∩ B?

Class 10 · Mathematics

If A ⊆ B ⊆ U, n(U) = 90, n(B) = 54, and n(A) = 31, what is n(A′ ∩ B)?

Class 10 · Mathematics

If U = ℝ and A = (−∞, −2) ∪ [3, 7], what is A′, the complement of A in ℝ?

Class 10 · Mathematics

If U = {x : x ∈ Z, -8 ≤ x ≤ 8} and A = {x : x ∈ U, x² - 2x - 15 ≤ 0}, how many elements are in A′?