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Class 10 · Mathematics

If \(U=\{1,2,\ldots,32\}\), \(A=\{x:x\text{ is a multiple of }4\}\), and \(B=\{x:x\text{ is a multiple of }16\}\), how many elements are in \(A'\cup B\)?

Class 10 · Mathematics

If \(U'=\varnothing\), which statement about \(U\) is correct?

Class 10 · Mathematics

If U = ℝ, A = {x : −2 < x ≤ 4} and B = {x : 1 ≤ x < 7}, what is A′ ∪ B′?

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 \((A\cup B')\cap(A'\cup B')=B'\), which simplification shows it correctly?

Class 10 · Mathematics

If \(A'\cap B'=A'\), which of the following conclusions is always true?

Class 10 · Mathematics

For subsets \(A\) and \(B\) of a universal set \(U\), if \(A\subseteq B\), which relation between their complements is always true?

Class 10 · Mathematics

If U = {1, 2, ..., 30}, A = {x : x is even}, and B = {x : x is prime}, what is |A' ∩ B'|?

Class 10 · Mathematics

If A Δ B denotes the symmetric difference of A and B, what does (A Δ B)' represent?

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, …, 24} and A′ = {1, 5, 7, 11, 13, 17, 19, 23}, how many elements are in A?

Class 10 · Mathematics

If U = {1, 2, ..., 70}, A = {x : x is divisible by 5}, and B = {x : x is divisible by 7}, what is |A' ∩ B|?

Class 10 · Mathematics

If U ≠ ∅, which statement cannot always be true?

Class 10 · Mathematics

If the universal set is U = R and A = (-∞, -1) ∪ [3, 8), what is A'?

Class 10 · Mathematics

If the universal set is U = {1, 2, ..., 42}, A = {x ∈ U : x is divisible by 3}, and B = {x ∈ U : x is divisible by 7}, what is |A' ∪ B'|?

Class 10 · Mathematics

If |U| = 90, |A ∩ B| = 24, |A′ ∩ B| = 17, and |A′ ∩ B′| = 29, what is |A ∩ B′|?