Set Theory & Venn Diagrams
✨ Login to trackExam-level questions worked step by step. Try each one yourself first — then expand the solution and compare routes.
In a class of 60 students, 35 like tea and 30 like coffee. If 10 students like neither beverage, how many students like both tea and coffee?
In a group of 50 people, 28 like cricket, 24 like football and 18 like tennis. 10 like cricket and football, 8 like football and tennis, 6 like cricket and tennis, and 4 like all three. How many like at least one of the three games?
In a group of 120 people, 85 like tea and 75 like coffee, and every person likes at least one drink. What is the minimum number of people who like both?
A set has 8 elements. How many proper subsets does it have?
In a survey of 500 families, 280 buy brand A soap and 300 buy brand B. If 120 families buy both, how many families buy neither?