Mathematics
Venn Diagrams
Practice questions
In a Venn diagram, what does the rectangle usually represent?In a Venn diagram, what does the common part of two circles represent?Which region does A ∪ B represent in a Venn diagram?Which region does A′ represent in a Venn diagram?If n(A) = 12, n(B) = 9, and n(A ∩ B) = 4, what is n(A ∪ B)?If \(A\) and \(B\) are disjoint sets, what is \(A\cap B\)?If \(A\subseteq B\), where will the circle representing \(A\) be placed in a Venn diagram?In a Venn diagram, how is the region containing elements only in \(A\) represented?If \(n(B-A)=8\) and \(n(A\cap B)=4\), what is \(n(B)\)?If \(n(A-B)=6\), \(n(A\cap B)=5\), and \(n(B-A)=4\), what is \(n(A\cup B)\)?If n(U) = 40 and n(A ∪ B) = 26, what is the number of elements in neither A nor B?Which region does A' ∩ B' represent in a Venn diagram?If n(A) = 13, n(B) = 17, and n(A ∩ B) = 5, what is n(A ∪ B)?In a group of 40 people, 22 like tea, 18 like coffee, and 7 like both. How many people like neither tea nor coffee?In a club of 28 members, 15 like music, 13 like dance, and 4 like both. How many members like only dance?In a Venn diagram of three sets, which region represents A ∩ B ∩ C?If the value of n(A ∩ B ∩ C) for three sets is 4, where should 4 be written in the Venn diagram?If n(A) = 9, n(B) = 7, and n(A ∩ B) = 2, what is the total number of elements that belong only to A and only to B?If A ∩ B = ∅, n(A) = 6, and n(B) = 11, what is n(A ∪ B)?If A ⊆ B, n(A) = 5, and n(B) = 12, what is n(A ∪ B)?