Venn Diagrams — Prelims Questions

In a group of 80 students, 45 like playing Cricket, 30 like playing Football. If 10 students like neither, how many students like playing both Cricket and Football?

In a survey of 100 people, 60 like Coffee, 50 like Tea, and 20 like both. How many people like only Tea?

In an examination, 70% of students passed in Subject A, 60% passed in Subject B. If 15% failed in both subjects, what percentage of students passed in both A and B?

In a town, 120 families own a car, 150 families own a bike, and 80 families own both. If there are 300 families in total, how many families own neither a car nor a bike?

In a survey of 150 students, 80 like History, 70 like Geography, and 60 like Political Science. 30 like History and Geography, 25 like Geography and Political Science, 20 like History and Political Science. If 10 students like all three subjects, how many students like exactly two subjects?