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Class 10 · Mathematics
→If n(A ∪ B ∪ C) = 88, n(A − B) = 19, n(B − A) = 24, n(A ∩ B) = 13, and C − (A ∪ B) has 32 elements, what is n((A ∪ B) − C) if C has no element of A ∪ B?
Class 10 · Mathematics
→If \(A=\{x\in\mathbb{R}:x\ge 2\}\), \(B=\{x\in\mathbb{R}:x<6\}\), and \(C=\{x\in\mathbb{R}:x=4\}\), what is \((A\cap B)-C\)?
Class 12 · Mathematics
→If A − B = A and B − C = B, which of the following statements must be true?
Class 10 · Mathematics
→If A and B are finite sets and n(A ∪ B) = n(A) + n(B), which conclusion is correct?
Class 10 · Mathematics
→If A = {x ∈ R : x ≠ 0} and B = {x ∈ R : x² > 0}, what is A △ B?
Class 10 · Mathematics
→Which of the following set identities is true for all sets A, B, and C?
Class 10 · Mathematics
→If \(A=\{x\in\mathbb{N}:x\le 30,\ x\text{ is a perfect square}\}\) and \(B=\{x\in\mathbb{N}:x\le 30,\ 3\mid x\}\), what is \(A-B\)?
Class 10 · Mathematics
→If \(A\cap B=B\cap C=C\cap A=\varnothing\), \(n(A)=12\), \(n(B)=15\), and \(n(C)=18\), what is the value of \(n(A\cup B\cup C)\)?
Class 10 · Mathematics
→If A, B, and C satisfy A ⊆ B ⊆ C, then (C − A) − (B − A) is equal to which set?
Class 10 · Mathematics
→If n(A − B) = 17, n(B − C) = 22, and B − C has 6 elements common with A, what is n((A − B) ∪ (B − C))?
Class 10 · Mathematics
→If \(A=\{1,2,3,4,5,6\}\) and \(B=\{2,4,6\}\), what is \(n(\mathcal{P}(A\setminus B))\)?
Class 10 · Mathematics
→If \(A=\{1,2,3\}\) and \(B=\{2,3,4,5\}\), how many elements does \(\mathcal{P}(A\cup B)\) contain?
Class 10 · Mathematics
→If \(A=\{x\in\mathbb{R}:x^2\le 9\}\) and \(B=\{x\in\mathbb{R}:x^2<1\}\), what is \(A\setminus B\)?
Class 10 · Mathematics
→If \(A=\{x\in\mathbb{R}:x^2-4x+3>0\}\) and \(B=\{x\in\mathbb{R}:x>1\}\), what is \(A\cap B\)?
Class 10 · Mathematics
→If \(A\cup B=A\cup C\) and \(A\cap B=A\cap C\), which of the following is correct?
Class 10 · Mathematics
→If \(A=\{x\in\mathbb{N}:x\le 10\}\), \(B=\{x\in\mathbb{N}:x\text{ is odd}\}\), and \(C=\{x\in\mathbb{N}:x\text{ is prime}\}\), what is \(A\cap(B\setminus C)\)?
Class 10 · Mathematics
→If \(A=\{x\in\mathbb{Z}\mid -3\le x\le 8\}\), \(B=\{x\in\mathbb{Z}\mid 0\le x\le 5\}\), and \(C=\{x\in\mathbb{Z}\mid x\text{ is even}\}\), what is \((A\setminus B)\cap C\)?
Class 10 · Mathematics
→If \(A=\{1,2,4,8,16\}\), \(B=\{1,3,9,27\}\), and \(C=\{1,5,25\}\), what is \((A\cap B)\cup(B\cap C)\cup(C\cap A)\)?
Class 10 · Mathematics
→If \(n(U)=120\), \(n(A)=70\), \(n(B)=65\), and \(n(A\cap B)=40\), what is the value of \(n(A'\cap B')\)?
Class 10 · Mathematics
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