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SET THEORY WORKSHEET 2

1. In a class of 45 students , each one plays either cricket or hockey. If 30 of them play cricket and 27 play hockey, find :

i) How many play both cricket and hockey ?

ii) How many play cricket only ?

iii) How many play hockey only ?

2. In a group of 50 people, 31 like tea, 20 like coffee and 6 like both tea and coffee. Find

i) How many like tea only ?

ii) How many like coffee only ?

iii) How many like neither of them ?

3. It is found that out of 100 students, 25 can drive neither a scooter nor a car, 15 can drive both , 52 can drive scooter. How many can drive a car ?

4.In a class of 50 people, 20 have offered painting but not crafts and 32 have offered painting. How many have offered crafts but not painting ? How many have offered both ?

5. In the 9th class of a school, 100 students took Mathematics while 60 students took computer science. If 40 students took both find,

i) Number of students in the 9th class ?

ii) Number of students who took mathematics only

iii) Number of students who took computer science only

6. In the interval, 80 students visited the library, 60 students referred to magazines while 50 students referred to books. Find

i) Number of students who referred to magazines only

ii) Number of students who referred to books only

iii) Number of students who referred to both

7. 110 students visited an exhibition. 70 students saw the puppet show while 64 students saw the dolls corner. Each student saw at least one of two. Find

i) Number of students who saw the puppet show only

ii) Number of students who saw the dolls corner only

iii) Number of students who saw both

8. In a group of 50 tourists, 40 spoke English while 30 spoke hindi. Everyone spoke atleast one of the two languages. Find

i) Number of tourists who spoke English only ?

ii) Number of tourists who speak hindi only ?

iii) Number of tourists who spoke both ?


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