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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={1,2,…,14} and A={2,4,6,8,10,12,14}, how many ordered pairs are in A′×A?

Class 10 · Mathematics

If U = {1, 2, …, 12} and A = {1, 4, 7, 10}, what is A' ∩ {2, 4, 6, 8, 10, 12}?

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 12 · Mathematics

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

Class 10 · Mathematics

If U = {1, 2, ..., 36} and A is the set of multiples of 6, how many multiples of 12 are in A′?

Class 10 · Mathematics

If U = {1, 2, ..., 12} and A = {1, 2, 3, 4, 5}, what is A' union A?

Class 10 · Mathematics

If \(n(U)=120\) and \(n(A')=47\), what is \(n(A)\)?

Class 10 · Mathematics

If the universal set is \(U=\{1,2,\ldots,12\}\), \(A=\{2,4,6,8,10,12\}\), and \(B=\{3,6,9,12\}\), what is the complement of \(A-B\) with respect to \(U\)?

Class 12 · Mathematics

If \(U=\{x:x\in\mathbb N, x\le 50\}\) and \(A=\{x:x\text{ is not a prime number}\}\), then \(A'\) is the set of what?

Class 10 · Mathematics

If U = {1, 2, …, 20}, A = {1, 4, 9, 16} and B = {3, 6, 9, 12, 15, 18}, what is A ∩ B′?

Class 10 · Mathematics

If \(U=\{1,2,\ldots,84\}\), \(A=\{x:x\text{ is divisible by }12\}\), and \(B=\{x:x\text{ is divisible by }21\}\), what is \(|(A\cap B)'|\)?

Class 10 · Mathematics

If U = {1, 2, …, 144} and A = {x : x is not divisible by 12}, what is |A′|?

Class 10 · Mathematics

If U = {1, 2, ..., 18}, A = {2, 4, 6, 8, 10, 12}, and B = {6, 9, 12, 15, 18}, what is (B − A)'?

Class 10 · Mathematics

If U = R and A = {x : x² − 4x − 12 < 0}, what is A'?

Class 10 · Mathematics

If 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 10 · Mathematics

If \(U=\{1,2,\ldots,16\}\), \(A=\{1,4,9,16\}\), and \(B=\{2,4,6,8,10,12,14,16\}\), what is \(A\cap B'\)?

Class 12 · Mathematics

If \((A\cap B')\cup(A'\cap B')=B'\), this is an example of which rule?

Class 10 · Mathematics

If U = {1, 2, …, 12}, A = {1, 2, 3, 4, 5, 6}, and B = {4, 5, 6, 7, 8}, what is (A − B)′?