Question

What is the total number of students playing Badminton?

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

Answer 1

The correct option is C 91

Total number of students $=250$
Number of girls $=\frac{13}{25}\times 250=130$
Number of boys $=\frac{11}{25}\times 250=120$
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 $=\frac{2}{3}\times 18=12$
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:-
$\begin{array}{ccc}Games& Numberofgirls& Numberofboys\\ \text{Table Tennis Badminton}& 65& 13\\ \text{Football, Hockey, Tennis}& -& 24\\ \text{Tennis, Chess}& 12& 18\\ \text{Hockey,Chess}& 39& -\\ \text{Chess, Badminton, Table-tennis}& 13& -\\ \text{Football}& 1& 48\\ \text{Chess}& -& 17\\ Total& 130& 120\end{array}$
Number of girls playing Hockey $=39$
Number of boys playing Hockey $=24$
Number of students playing Badminton $=65+13+13=91$