Country-wise Details of Participation in Sports EventsCountryE1E2E3 NumberM:FNumberM:FNumberM:F India…
US participants in E2 number 1440 with M : F = 7 : 5, so the females are \(1440\times5/12 = 600\). China's participants in E3 number 1240 with M : F = 3 : 1, so the females…
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| Country | E1 | E2 | E3 | |||
|---|---|---|---|---|---|---|
| Number | M:F | Number | M:F | Number | M:F | |
| India | 480 | 2:1 | 500 | 17:8 | 700 | 5:2 |
| US | 1280 | 5:3 | 1440 | 7:5 | 1500 | 2:1 |
| China | 1100 | 7:4 | 1160 | 13:7 | 1240 | 3:1 |
| Russia | 1300 | 8:5 | 1320 | 7:4 | 1500 | 8:7 |
| England | 800 | 3:1 | 840 | 9:5 | 900 | 5:4 |
| Germany | 650 | 16:9 | 728 | 3:1 | 750 | 2:1 |
Question: What is the ratio of the number of female participants from US in the event E2 to the number of female participants from China in the event E3?
Answer and explanation
Correct answer A
US participants in E2 number 1440 with M : F = 7 : 5, so the females are . China's participants in E3 number 1240 with M : F = 3 : 1, so the females are . The ratio is , which reduces to 60 : 31.
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