Question

# What is the total number of students playing Badminton?

A
84
B
88
C
91
D
78
E
None of these

Solution

## The correct option is C 91Total number of students =250 Number of girls =1325×250=130 Number of boys =1125×250=120 Number of girls playing Table Tennis and Badminton only =50 Number of boys playing Football, Hockey and Tennis only =20 Number of boys playing Tennis and Chess only =15 Number of girls playing Tennis and Chess only =23×18=12 Number of girls playing Hockey and Chess only =30 Number of girls playing Chess, Badminton and Table Tennis only =10 Number of girls playing only Football =130−(65+12+39+13)=130−129=1 Number of boys playing Table Tennis and Badminton only =20 Number of boys playing Football only =40 Number of boys playing Chess only =120−(24+18+13+48)=120−103=17 Tabular form of above informations is shown below:- GamesNumber of girlsNumber of boysTable Tennis Badminton6513Football, Hockey, Tennis−24Tennis, Chess1218Hockey,Chess39−Chess, Badminton, Table-tennis13−Football148Chess−17Total130120 Number of girls playing Hockey =39 Number of boys playing Hockey =24 Number of students playing Badminton =65+13+13=91

Suggest corrections