Mathematics
Venn Diagrams
Practice questions
If n(A) = 26, n(B) = 18, and n(A ∩ B) = 8, what is n(A ∪ B)?If n(U) = 58 and n(A ∪ B) = 41, how many elements are in the region neither in A nor in B?In a Venn diagram, which region is inside U but outside A?When A ∪ B is shaded in a Venn diagram, which part remains unshaded?If only the middle common part is shaded in the Venn diagram of A and B, which set is represented?If \(n(U)=85\) and \(n(A\cup B)=56\), how many elements are in neither \(A\) nor \(B\)?If only \(A\) has 18 elements, \(A\cap B\) has 7 elements, and only \(B\) has 14 elements, what is \(n(A\cup B)\)?If \(n(U)=94\), there are 26 elements only in \(A\), 15 elements in \(A\cap B\), and 31 elements only in \(B\), how many elements lie in neither \(A\) nor \(B\)?If \(n(U)=76\), 18 elements lie outside \(A\cup B\), only \(A\) has 20 elements, and only \(B\) has 23 elements, what is \(n(A\cap B)\)?If n(A∪B)=63, only A is 24, and only B is 27, what is n(A∩B)?In a class of 65 students, 34 study Sanskrit, 27 study Computer, and 11 study both. How many study at least one of the two subjects?In a group of 58 people, 32 like mango, 21 like banana, and 9 like both. How many like only mango?In an examination of 100 students, 62 passed Mathematics, 49 passed Science, and 35 passed both subjects. How many students passed Science only?At a fair, 120 people attended, 70 visited the rides, 52 visited the game stalls, and 30 visited both. How many people visited at least one of these two places?If A ∪ B = A, which relation between A and B is correct?Where is A ∩ B ∩ C located in a Venn diagram of three sets?If n(A) = 16, n(B) = 18, n(C) = 9, n(A ∩ B) = 6, n(A ∩ C) = 2, n(B ∩ C) = 3, and n(A ∩ B ∩ C) = 1, what is n(A ∪ B ∪ C)?For two sets A and B in a Venn diagram, which of the following statements is always true?If n(A) = 36, n(B) = 28, and n(A ∩ B) = 12, what is n(A ∪ B)?In a class, n(U) = 50, n(A) = 28, n(B) = 22, and n(A ∩ B) = 10. What is n(A ∪ B)?