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WORKBOOK

5) In a group of 63 people playing guitar, piano or drum is 6 times the people playing none of them.
If 40 can play two instruments at least, how many people can play one instrument only?

PAIR WORK

In a class of 200 students of a certain high school records indicate that 80 had taken
Physics, 90 had taken Biology, 55 had taken Chemistry, 32 had taken both Biology and
Physics, 23 had taken both Chemistry and Physics, 16 had taken both Biology and Chemistry and 8 had
taken all three subjects.

A) How many students had not taken any of these three courses?

B) How many students had taken Physics and Biology but not taken Chemistry?

6) 60% of students of a class passed from both Mathematics and Physics, 80% of them passed from
Mathematics and 70% of them passed from Physics. 4 students failed from Mathematics and Physics.
How many students passed from only Mathematics?

7) In a class, all students are successful in Mathematics or Science, 45% of them are successful in
Mathematics, 85% of them in Science. If 6 students passed both of them, find the number of
students which are successful in Mathematics?

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