1.  Out of a total 85 children playing badminton or table tannin's or both, total number of girl in the group is 70% 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 numbers of children and a total numbers of children and a total 12 children play badminton and table tennis both. What is the number of girls playing only badminton?
A. 16
B. 14
C. 17
D. Data inadequate

Answer: Option B

Explanation:

Let the number of boys = x

Then, x + 7x/10 = 85

            x = 50

No. of girls = 85 - 50 = 35

(i) Number of boys playing only badminton = 50% of boys

             = 50/100 x 50 = 25

(ii) Number of children playing only table tennis

             = 40% of total no. of children

             = 40/100 x 85 = 34

(iii) Total no. of children playing both badminton and table tennis = 12

Hence, number of girls playing only badminton = 85 - (25 + 34 + 12)

= 85 - 71 = 14.