Answer the questions given below based on the following data:A total of 250 students of a class play different games viz. Football, Hockey, Chess, Badminton, Table Tennis and Tennis. The ratio of girls to boys in the class of 250 is 13 : 12 respectively.

Answer the questions given below based on the following data:

A total of 250 students of a class play different games viz. Football, Hockey, Chess, Badminton, Table Tennis and Tennis. The ratio of girls to boys in the class of 250 is 13 : 12 respectively. 50% of the girls play Table Tennis and Badminton only. 20% of the boys play Football, Hockey and Tennis only. 15% of the boys play Tennis and Chess only. The ratio of number of girls to boys playing Tennis and Chess only is 2 : 3 respectively. 30% of the girls play Hockey and Chess only. 10% of the girls play Chess, Badminton and Table Tennis only. The remaining girls play only Football. Boys playing Table Tennis and Badminton only is 20% of the girls playing the same. 40% of the boys play only Football. The remaining boys play only Chess.

Total = 250 students

Number of girls = $\frac{13}{13 + 12} \times 250 = 130$

Number of boys = $250 - 130 = 120$

Girls playing only table tennis and badminton = $\frac{50}{100} \times 130 = 65$

Girls playing hockey and chess only = $\frac{30}{100} \times 130 = 39$

Girls playing chess, badminton and table tennis only = $\frac{10}{100} \times 130 = 13$

Girls playing tennis and chess only = $\frac{18}{3} \times 2 = 12$

Girls playing football only = $130 - (65 + 39 + 13 + 12) = 1$

Boys playing football, hockey and tennis only = $\frac{20}{100} \times 120 = 24$

Boys playing tennis and chess only = $\frac{15}{100} \times 120 = 18$

Boys playing table tennis and badminton = $\frac{20}{100} \times 65 = 13$

Boys playing only football = $\frac{40}{100} \times 120 = 48$

Boys playing only chess = $120 - (24 + 18 + 13 + 48) = 17$

$\therefore$ Total number of students playing football = 48 + 24 + 1

= 73

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