Question

Out of 40 members of team A only 60% are selected for the tour and out of 60 members of team B only 40% are selected for the tour. Ratio of male members to female members on the tour is 5:3. Ratio of male members who are selected from team A to female members who are selected from team A is 5:1. Find total number of female members who are selected for tour from team B.

• A. 12
• B. 15
• C. 14
• D. 16

Answer 1

Answer: (C)

14

Answer 2

The correct option is (C): 14.
Total members selected from team A = $\frac{60}{100}$* 40 = 24
Total members selected from team B = $\frac{40}{100}$* 60 = 24
Total male members selected for the tour =$\frac{5}{8}$ * 48 = 30
Total female members selected for the tour = $\frac{3}{8}$* 48 = 18
Total male members who are selected from team A = $\frac{5}{6}$ * 24 = 20
Total female members who are selected from team A =$\frac{1}{6}$ * 24 = 4
Total female members who are selected from team B = 18 - 4 = 14.