Venn diagrams and sets
Counting with overlapping groups.
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Take a full mock →Q1 · Venn diagrams and sets · MEDIUM
In a survey of 100 students, 50 read The Hindu, 40 read Economic Times, and 30 read Business Standard. 10 read both The Hindu and Economic Times, 8 read both The Hindu and Business Standard, 5 read both Economic Times and Business Standard, and 3 read all three. How many students read exactly one newspaper?
Q2 · Venn diagrams and sets · EASY
A company has 110 employees. 60 use Excel, 50 use Power BI, and 40 use Tableau. 25 use both Excel and Power BI, 20 use both Excel and Tableau, 15 use both Power BI and Tableau, and 10 use all three. How many employees use none of the three tools?
Q3 · Venn diagrams and sets · HARD
In a group of 120 people, 70 like tea, 60 like coffee, and 50 like milk. 40 like both tea and coffee, 20 like both tea and milk, and 25 like both coffee and milk. If 10 like all three, how many like exactly two of the three beverages?