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Class 10 · Mathematics · Medium
→If \(n(A\cup B)=75\), \(n(A\cap B)=18\), and \(n(A)=46\), what is the value of \(n(B)\)?
Class 10 · Mathematics · Hard
→Which expression is equal to \(A\setminus(B\cup C)\)?
Class 10 · Mathematics · Hard
→Which expression is equal to \(A\setminus(B\cap C)\)?
Class 10 · Mathematics · Medium
→If \(A\setminus B=\varnothing\) and \(B\setminus A=\varnothing\), what is the relation between \(A\) and \(B\)?
Class 10 · Mathematics · Medium
→Assume that \(\mathbb{N}=\{1,2,3,\ldots\}\). If \(A=\{x\in\mathbb{N}\mid x\le 12\}\) and \(B=\{x\in\mathbb{N}\mid x\text{ is prime}\}\), with \(B\) restricted to \(A\), what is \(A\setminus B\)?
Class 10 · Mathematics · Hard
→If \(A\cup B=A\cap B\), which of the following conclusions is always true?
Class 10 · Mathematics · Medium
→If \(n(A)=30\), \(n(B)=24\), and \(n(A\setminus B)=18\), what is the value of \(n(A\cup B)\)?
Class 10 · Mathematics · Medium
→If \(A\cap B=A\) and \(A\cup B=B\), which of the following is the correct conclusion?
Class 10 · Mathematics · Medium
→If \(A\subseteq B\), then what is \(A\cup(B\setminus A)\) equal to?
Class 10 · Mathematics · Medium
→If \(U=\{1,2,\ldots,20\}\), \(A=\{x:x\in U,\ x\text{ is even}\}\), and \(B=\{x:x\in U,\ x\text{ is divisible by }3\}\), then what is \(n((A\cup B)')\)?
Class 10 · Mathematics · Medium
→If A = {2, 4, 6, 8, 10, 12}, B = {3, 6, 9, 12, 15}, and C = {6, 12, 18}, what is (A ∩ B) − C?
Class 10 · Mathematics · Easy
→If A = (−∞, 3] and B = [1, ∞), what is A ∪ B?
Class 10 · Mathematics · Easy
→If A = [−2, 4] and B = (1, 6), what is A ∩ B?
Class 10 · Mathematics · Easy
→If \(A=\{x\in\mathbb{Z}:-3\le x\le 5\}\) and \(B=\{x\in\mathbb{Z}:x^2\le 9\}\), what is \(A\setminus B\)?
Class 10 · Mathematics · Easy
→If n(A − B) = 28 and n(A ∩ B) = 16, what is n(A)?
Class 10 · Mathematics · Medium
→If n(A) = 42, n(B) = 35, and n(A ∪ B) = 60, what is n(A ∩ B)?
Class 10 · Mathematics · Medium
→If A ⊆ B and C ∩ B = ∅, then (A ∪ C) ∩ B is equal to which set?
Class 10 · Mathematics · Medium
→For a universal set U with n(U) = 110, if n(A) = 64, n(B) = 57, and n(A ∩ B) = 29, what is n((A ∪ B)′)?
Class 10 · Mathematics · Medium
→If A = {x ∈ ℝ : −3 ≤ x < 5}, B = {x ∈ ℝ : 1 < x ≤ 8}, and C = {x ∈ ℝ : x ≤ 2}, what is (A ∪ B) ∩ C?
Class 10 · Mathematics · Hard
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