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Class 10 · Mathematics · Easy
→If U = {1, 2, …, 12}, A = {1, 2, 3, 4, 5, 6}, and B = {4, 5, 6, 7, 8}, what is (A − B)′?
Class 12 · Mathematics · Hard
→If \(U=\mathbb{R}\), \(A=(-5,2]\), and \(B=[-1,6)\), what is \((A\cap B)'\)?
Class 10 · Mathematics · Medium
→If U has 200 students, 120 take Hindi, 90 take English, and 50 take both languages, how many take neither language?
Class 10 · Mathematics · Easy
→If the universal set is U = {1, 2, …, 12} and A′ = {1, 5, 7, 11}, what is the set A?
Class 10 · Mathematics · Medium
→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 · Medium
→If U = {1, 2, ..., 16}, A = {1, 2, 4, 8, 16}, and B = {2, 4, 6, 8, 10, 12, 14, 16}, then B - A is equal to:
Class 10 · Mathematics · Easy
→If U = {1, 2, ..., 18} and A = {2, 4, 6, 8, 10, 12, 14, 16, 18}, what is (A')'?
Class 10 · Mathematics · Medium
→In a universal set \(U\) of 120 students, 70 study mathematics, 65 study physics, and 30 study both. How many study neither mathematics nor physics?
Class 10 · Mathematics · Medium
→If U = {1, 2, ..., 12}, A = {1, 3, 5, 7, 9, 11}, and B = {2, 3, 5, 7, 11}, what is (A′ ∪ B′)′?
Class 10 · Mathematics · Medium
→If U = {1,2,3,4,5,6,7,8,9,10,11,12}, A = {1,2,3,4,5,6}, and B = {2,4,6,8,10,12}, what is Aᶜ ∩ B?
Class 10 · Mathematics · Easy
→If U = {x : x ∈ ℕ, x ≤ 12} and A = {x ∈ U : x is not divisible by 2}, what is Aᶜ?
Class 10 · Mathematics · Easy
→If n(Aᶜ) = 12 and n(U) = 30 for the universal set U, what is the value of n(A)?
Class 10 · Mathematics · Easy
→If U = {1,2,3,4,5,6,7,8,9,10,11,12} and A = {x ∈ U : x is a multiple of 3}, what is Aᶜ?
Class 10 · Mathematics · Easy
→If the universal set is \(U=\{1,2,3,\ldots,12\}\), \(A=\{3,6,9,12\}\), and \(B=A^c\), what is the value of \(A\cap B\)?
Class 10 · Mathematics · Easy
→Let the universal set be \(U=\{1,2,3,\ldots,12\}\), \(A=\{2,3,5,7,11\}\), and \(B=A^c\). What is the value of \(A\cup B\)?
Class 10 · Mathematics · Medium
→Given U = {1, 2, 3, ..., 12}, A = {1, 2, 3, 4}, and B = {3, 4, 5, 6, 7}, what is (Aᶜ ∩ B)ᶜ?
Class 10 · Mathematics · Medium
→If U={1,2,3,...,12} and A={3,6,9,12}, how many elements are in A^c ∪ {6,12}?
Class 10 · Mathematics · Medium
→If \(U=\{1,2,3,\ldots,16\}\), \(A=\{1,4,9,16\}\), and \(B=\{2,4,6,8,10,12,14,16\}\), what is \((A\cup B)^c\)?
Class 10 · Mathematics · Medium
→What is the nature of the roots of 4x² − 12x + 9 = 0?
Class 10 · Mathematics · Medium
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