Word Problems on Sets Using Venn Diagram

In TNHS, 200 students are randomly selected to determine if they like coffee, tea or both. 140 like tea, 120 like coffee and 80 like both tea and coffee. How many students like tea only?

• 20

• 40

• 60

• 80

In TNHS, 200 students are randomly selected to determine if they like coffee, tea or both. 140 like tea, 120 like coffee and 80 like both tea and coffee. How many students like coffee only?

• 20

• 40

• 60

• 80

In TNHS, 200 students are randomly selected to determine if they like coffee, tea or both. 140 like tea, 120 like coffee and 80 like both tea and coffee. How many students like tea or coffee?

• 40

• 60

• 180

• 200

In TNHS, 200 students are randomly selected to determine if they like coffee, tea or both. 140 like tea, 120 like coffee and 80 like both tea and coffee. How many students like tea and coffee?

• 80

• 120

• 140

• 180

In TNHS, 200 students are randomly selected to determine if they like coffee, tea or both. 140 like tea, 120 like coffee and 80 like both tea and coffee. How many students like at least one of the beverages?

• 40

• 60

• 80

• 180

In TNHS, 200 students are randomly selected to determine if they like coffee, tea or both. 140 like tea, 120 like coffee and 80 like both tea and coffee. How many students like at most one of the beverages?

• 120

• 60

• 40

• 180

In a survey of 100 students of a school, it was found that 49 liked watching football, 53 liked watching hockey and 62 liked watching basketball. Also, 27 liked watching football and hockey both, 29 liked watching basketball and hockey both and 28 liked watching football and basket ball both. 5 liked watching none of these games. How many students like watching all the three games?

• 5

• 13

• 14

• 15

In a survey of 100 students of a school, it was found that 49 liked watching football, 53 liked watching hockey and 62 liked watching basketball. Also, 27 liked watching football and hockey both, 29 liked watching basketball and hockey both and 28 liked watching football and basket ball both. 5 liked watching none of these games. How many students like watching only two games?

• 25

• 39

• 41

• 54

In a survey of 100 students of a school, it was found that 49 liked watching football, 53 liked watching hockey and 62 liked watching basketball. Also, 27 liked watching football and hockey both, 29 liked watching basketball and hockey both and 28 liked watching football and basket ball both. 5 liked watching none of these games. Find the number of students who like watching only one of the three given games.

• 9

• 12

• 39

• 41

In a survey of 100 students of a school, it was found that 49 liked watching football, 53 liked watching hockey and 62 liked watching basketball. Also, 27 liked watching football and hockey both, 29 liked watching basketball and hockey both and 28 liked watching football and basket ball both. 5 liked watching none of these games. Find the number of students who like watching at least two of the given games.

• 39

• 41

• 54

• 95