Venn Diagrams — Practice

Question 1

In a class of 50 students, 30 play cricket, 25 play football, and 15 play both. How many students play neither sport?

Accepted Answer

B

Question 2

In a survey of 100 people, 60 read newspaper A, 40 read newspaper B, and 20 read both. How many people read only newspaper A?

Accepted Answer

C

Question 3

In a survey of 100 people, 60 read newspaper A, 40 read newspaper B, and 20 read both. How many people read neither newspaper?

Accepted Answer

B

Question 4

In a school of 80 students, 50 study Mathematics, 40 study Science, and 25 study both. How many students study only Science?

Accepted Answer

B

Question 5

In the same school of 80 students (50 study Mathematics, 40 study Science, 25 study both), how many students study neither subject?

Accepted Answer

B

Question 6

In a group of 100 people: 45 play cricket, 38 play hockey, 35 play football, 15 play cricket and hockey, 12 play hockey and football, 10 play cricket and football, and 5 play all three sports. How many people play at least one of the three sports?

Accepted Answer

C

Question 7

Using the same data (100 people; 45 cricket, 38 hockey, 35 football; pairwise overlaps 15, 12, 10; all three 5), how many people play none of the three sports?

Accepted Answer

C

Question 8

In a group of 120 people: 60 speak English, 50 speak Hindi, 40 speak French, 25 speak both English and Hindi, 20 speak both Hindi and French, 15 speak both English and French, and 10 speak all three languages. How many people speak only English?

Accepted Answer

C

Practice — Venn Diagrams

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