Quantitative Techniques Question 11

Question; Direction; 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. What is the total number of students playing Football?

Options:

A) 72

B) 64

C) 68

D) 73

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Answer:

Correct Answer; D

Solution:

  • (d) Number of students playing Football = 48 + 24 + 1 = 73