Out of 85 children playing badminton or table tennis or both, the total number of girls in the group is 70% of the total number of boys in the group. The number of boys playing only badminton is 50% of the number of boys and the total number of boys playing badminton is 60% of the total number of boys. The number of children playing only table tennis is 40% of the total number of children and a total of 12 children play badminton and table tennis both. The number of girls playing only badminton is
- A14
- B16
- C17
- D35
Explanation
Let there be B boys; girls = 0.7B, and 1.7B = 85 gives B = 50 boys and 35 girls. Boys playing badminton = 30, of which 25 play only badminton, so 5 boys play both; with 12 children playing both in all, 7 girls play both. Children playing badminton = 85 - 34 (only table tennis) = 51, so girls playing badminton = 51 - 30 = 21, and girls playing only badminton = 21 - 7 = 14. Hence option A.