Question

In a society with 100 members , each member plays atleast one sport amongst cricket, hockey and volley ball. If 20 members plays cricket only , 30 play hockey only, 25 play volley ball only, 12 play both cricket and hockey, 7 play both hockey and volley ball and 3 members play all the sports , then how many members play atleast two sports ?

• A. 25
• B. 22
• C. 32
• D. 35

Answer 1

Answer:

A. 25

cricket = 20

hockey = 30

volley ball = 25

cricket and hockey = 12

hockey and volley ball = 7

cricket, hockey and volley ball = 3

cricket and volley ball = x

total = 20+30+25+3+[12-3 + 7-3 + x-3]=100

100 = 78 + 10 + x

x= 100- 88= 12

members play atleast two sports = 9 + 4+9+3 = 25