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Class 10 · Mathematics
→If the universal set U = {1, 2, 3, 4, 5, 6, 7, 8} and A = {1, 2, 3, 4, 5}, what is the value of (Aᶜ)ᶜ ∩ {2, 4, 6, 8}?
Class 10 · Mathematics
→If A ∪ Aᶜ = U and A ∩ Aᶜ = ∅, then n(A) + n(Aᶜ) is equal to what?
Class 10 · Mathematics
→If A ∩ B = ∅ and A ∪ B = U, then B is equal to what?
Class 10 · Mathematics
→If the universal set is U = {a, b, c, d, e, f}, A = {a, c, e}, and B = {b, d, f}, which of the following statements is correct?
Class 10 · Mathematics
→If the universal set U = {1, 2, 3, 4, 5, 6} and A = {1, 2, 3}, which set B satisfies B = Aᶜ?
Class 10 · Mathematics
→If U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, and Aᶜ ⊆ B ⊆ U, what is the smallest possible set B?
Class 10 · Mathematics
→If the universal set is U = {1, 2, 3, ..., 15} and A = {x ∈ U : x is odd}, what is the value of Aᶜ ∩ {x ∈ U : 3 divides x}?
Class 10 · Mathematics
→If the universal set is U = {1, 2, 3, ..., 25} and A = {x ∈ U : x is a perfect square}, how many elements does Aᶜ contain?
Class 10 · Mathematics
→A class has 90 students, so the universal set U has n(U) = 90. If A is the set of students who like science and n(Aᶜ) = 34, how many students like science?
Class 10 · Mathematics
→If U has 120 students, 72 study Hindi and 55 study English, while 30 study both, how many students study neither Hindi nor English?
Class 10 · Mathematics
→If the universal set is \(U=\{x\in\mathbb{Z}:-5\le x\le 5\}\) and \(A=\{x\in U:x^2=9\}\), how many elements does the complement \(A^c\) contain?
Class 10 · Mathematics
→If the universal set is \(U=\{1,2,3,4,5,6,7,8,9,10\}\) and \(A=\{x\mid x\in U\text{ and }x^2-5x+6=0\}\), what is the complement \(A^c\) of \(A\) with respect to \(U\)?
Class 10 · Mathematics
→If \(U=\{x\in\mathbb{N}\mid 1\le x\le 50\}\) and \(A=\{x\in U\mid 5\mid x\}\), what is the value of \(n(A^c)\)?
Class 10 · Mathematics
→If \(U=\{x:x\in\mathbb{N},1\le x\le 30\}\) and \(A=\{x:x\text{ is divisible by }2\text{ or }3\}\), what is \(n(A^c)\)?
Class 10 · Mathematics
→Let the universal set be \(U=\{1,2,3,4,5,6,7,8\}\), \(A=\{1,3,5,7\}\), and \(B=\{2,3,5,8\}\). What is the value of \((A-B)^c\)?
Class 10 · Mathematics
→If the universal set is \(U=\{1,2,3,4,5,6,7,8,9\}\), \(A=\{1,2,3,4\}\), and \(B=\{4,5,6\}\), what is the value of \(A^c-B^c\)?
Class 10 · Mathematics
→If \(n(U)=100\), \(n(A^c)=40\), \(n(B^c)=55\), and \(n(A^c\cap B^c)=20\), what is \(n(A\cap B)\)?
Class 10 · Mathematics
→If \(A\subseteq U\), which statement is always true with respect to the universal set \(U\)?
Class 10 · Mathematics
→If Aᶜ ⊆ Bᶜ, which of the following conclusions is correct?
Class 10 · Mathematics
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