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Class 10 · Mathematics
→If U = {1, 2, ..., 40}, A is the set of multiples of 5, and B is the set of multiples of 8, what is n((A ∩ B)′)?
Class 10 · Mathematics
→If U = {1, 2, ..., 42}, A is the set of multiples of 3, and B is the set of multiples of 7, what is n((A − B)′)?
Class 10 · Mathematics
→If A ⊆ B ⊆ C ⊆ U, which relation is always true?
Class 10 · Mathematics
→If U = ℝ and A = (−∞, −5) ∪ [1, 4] ∪ (9, ∞), what is A′?
Class 10 · Mathematics
→If U = {x : x ∈ ℤ, −12 ≤ x ≤ 12} and A = {x : x ∈ U, x² − 9x + 18 ≤ 0}, what is n(A′)?
Class 10 · Mathematics
→If U = {x : x ∈ ℕ, x ≤ 96}, A = {x : x ∈ U, 8 divides x}, and B = {x : x ∈ U, 12 divides x}, what is n(A′ ∩ B′)?
Class 10 · Mathematics
→If U = {x : x ∈ ℕ, x ≤ 84}, A = {x : x ∈ U, 6 divides x}, and B = {x : x ∈ U, 14 divides x}, what is n(A′ ∩ B′)?
Class 10 · Mathematics
→Which of the following statements about the complements of two sets, relative to a universal set, is always true?
Class 10 · Mathematics
→If U = {1, 2, ..., 27} and A = {x : x ∈ U, 3 divides x}, how many elements divisible by 2 are in A′?
Class 10 · Mathematics
→If U = ℝ and A = {x ∈ ℝ : x ≠ −2 and x ≠ 5}, what is A′?
Class 10 · Mathematics
→If U = {1, 2, ..., 24}, A = {x ∈ U | 4 divides x}, and B = {x ∈ U | 8 divides x}, what is B′ ∩ A?
Class 10 · Mathematics
→If A⊆U, what is (A′∪A)′ equal to?
Class 10 · Mathematics
→Let U = {x ∈ ℤ | 1 ≤ x ≤ 30} and A = {x ∈ U | x ≡ 1 (mod 4)}. What is n(A′), the number of elements in the complement of A with respect to U?
Class 10 · Mathematics
→If U={1,2,…,18} and A is the set of primes in U, which set of multiples of 3 lies in A′?
Class 10 · Mathematics
→Let U = {1, 2, ..., 81} and A = {x ∈ U | x is a perfect square}. How many numbers divisible by 9 belong to A′?
Class 10 · Mathematics
→If U=R, A=[1,∞), and B=(−∞,4), what is A′∪B′?
Class 10 · Mathematics
→If the universal set U = {1, 2, 3, ..., 10}, A = {1, 2, 3}, and B = {3, 4, 5}, what is (A′ ∩ B)′, where complements are taken with respect to U?
Class 10 · Mathematics
→For a universal set U, if n(U)=200, n(A′)=76, n(B′)=89, and n(A′∩B′)=31, what is n((A∩B)′)?
Class 10 · Mathematics
→Let U = {x ∈ ℤ | −4 ≤ x ≤ 6} and A = {x ∈ U | (x − 1)(x + 2) ≥ 0}. What is A′, the complement of A with respect to U?
Class 10 · Mathematics
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