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.

Updated On: Sep 13, 2024
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The Correct Option is C

Solution and Explanation

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.
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