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Class 10 · Mathematics

If \(U=\{1,2,\ldots,40\}\), \(A\) is the set of prime numbers, and \(B\) is the set of odd numbers, what is \(|A'\cap B|\)?

Class 10 · Mathematics

If \(|U|=150\), \(|A'|=92\), \(|B'|=76\), and \(|A\cap B|=31\), what is \(|(A\cup B)'|\)?

Class 10 · Mathematics

If \(A\subseteq B'\), which of the following relations is always true?

Class 12 · Mathematics

If \(U=\mathbb{R}\), \(A=(-5,2]\), and \(B=[-1,6)\), what is \((A\cap B)'\)?

Class 10 · Mathematics

If \(U=\{x:x\in\mathbb{Z},-8\le x\le8\}\) and \(A=\{x:x^2-4x\le0\}\), what is \(A'\)?

Class 10 · Mathematics

If \(U=\{1,2,\ldots,72\}\), \(A\) is the set of multiples of 4, and \(B\) is the set of multiples of 9, what is \(|(A\cup B)'|\)?

Class 10 · Mathematics

If \(U=\mathbb{R}\) and \(A=\{x:-2<x\le6\}\), what is \(A'\)?

Class 10 · Mathematics

If \(U=\{1,2,\ldots,45\}\), \(A\) is the set of numbers divisible by 3, and \(B\) is the set of numbers divisible by 5, what is \(|(A\cap B)'|\)?

Class 10 · Mathematics

If the universal set is \(U=\mathbb{R}\) and \(A=\{x:x^2-1\ge 0\}\), what is \(A'\)?

Class 10 · Mathematics

If the universal set is \(U=\{1,2,\ldots,36\}\), \(A\) is the set of multiples of 4, and \(B\) is the set of multiples of 9, what is the value of \(|A'\cap B'|\)?

Class 10 · Mathematics

If A ∪ B′ = U, which relation is always true?

Class 10 · Mathematics

If A ∩ B′ = ∅, which conclusion is always true?

Class 10 · Mathematics

If U has 200 students, 120 take Hindi, 90 take English, and 50 take both languages, how many take neither language?

Class 10 · Mathematics

If the universal set is U = ℝ and A = {x : x ≤ −1 or x > 4}, what is A′?

Class 10 · Mathematics

If the universal set is U = {1, 2, …, 12} and A′ = {1, 5, 7, 11}, what is the set A?

Class 10 · Mathematics

If A ⊆ B in a universal set U, which of the following relations is always true?

Class 10 · Mathematics

If A ⊆ U, what are A ∪ A′ and A ∩ A′, respectively?

Class 10 · Mathematics

If U has n elements and A has r elements, how many elements are in A′?

Class 10 · Mathematics

If U = {1, 2, ..., 15}, A = {1, 4, 9}, and B = {2, 4, 6, 8, 10, 12, 14}, how many elements are in (A ∩ B)′?

Class 10 · Mathematics

If the universal set is U = {1, 2, ..., 100} and A = {x ∈ U : x is a perfect square}, what is the value of |A′|?