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Class 10 · Mathematics · Medium
→If \(A=\{1,3,5,7,9,11\}\), \(B=\{3,6,9,12\}\), and \(C=\{5,9,13\}\), what is the value of \((A\setminus B)\cap C\)?
Class 12 · Mathematics · Medium
→If A = (-∞, 3] and B = [0, 5), what is A ∩ B?
Class 10 · Mathematics · Hard
→If |A| = 30, |B| = 27, |C| = 25, |A ∩ B| = 12, |B ∩ C| = 10, |C ∩ A| = 8, and |A ∩ B ∩ C| = 4, what is |A ∪ B ∪ C|?
Class 12 · Mathematics · Easy
→If A = {1, 2, 4, 8, 16, 32} and B = {x | x ∈ A, x < 10}, what is A \ B?
Class 12 · Mathematics · Hard
→If A \ B = B, which conclusion must be true?
Class 10 · Mathematics · Medium
→If U = {1, 2, ..., 84}, A = {x ∈ U : 7 divides x}, and B = {x ∈ U : 12 divides x}, what is |A ∪ B|?
Class 10 · Mathematics · Medium
→In a class of 120 students, 72 are in the mathematics set M, 64 are in the physics set P, and 28 are in both sets. How many students are in neither M nor P?
Class 10 · Mathematics · Medium
→If A = {x ∈ ℝ | x² − 5x + 6 = 0} and B = {x ∈ ℝ | x² − 7x + 12 = 0}, what is A ∩ B?
Class 12 · Mathematics · Medium
→If A and B are finite sets, n(A \ B) = 12, n(B) = 20, and n(A ∩ B) = 8, what is n(A ∪ B)?
Class 12 · Mathematics · Hard
→If A \ (B \ C) is simplified, which form is correct?
Class 12 · Mathematics · Medium
→If A ⊆ B', which statement is correct?
Class 10 · Mathematics · Medium
→Let U = {1, 2, ..., 12}, A = {2, 3, 5, 7, 11}, and B = {1, 3, 5, 9, 11}. What is (A ∪ B)′, the complement of A ∪ B in U?
Class 12 · Mathematics · Medium
→If A = {x ∈ R : x² < 9} and B = {x ∈ R : x ≥ 1}, what is A ∩ B?
Class 10 · Mathematics · Medium
→If \(n(A\cup B\cup C)=86\), \(n(A)=38\), \(n(B)=34\), \(n(C)=31\), \(n(A\cap B)=12\), \(n(B\cap C)=10\), and \(n(C\cap A)=9\), what is the value of \(n(A\cap B\cap C)\)?
Class 12 · Mathematics · Medium
→If \(A=\{x:x\in\mathbb{Z},-5\le x<3\}\) and \(B=\{x:x\in\mathbb{Z},-2<x\le 6\}\), then what is \(A\cup B\)?
Class 10 · Mathematics · Easy
→If n(A \ B) = 12, n(B \ A) = 9, and n(A ∩ B) = 6, what is the value of n(A ∪ B)?
Class 12 · Mathematics · Medium
→If A \ B = A, which statement is always true?
Class 10 · Mathematics · Hard
→If one root of x² + ax + 12 = 0 is 3, what are the other root and a?
Class 12 · Mathematics · Medium
→If A − B = A and B − C = B, which of the following statements must be true?
Class 10 · Mathematics · Hard
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