What is the difference between the number of male participants and the number of female participants in the event E2 from all the six countries together?
- AOption (a)
1724
- BOption (b)
1728
- COption (c)
1732
- DOption (d)
1734
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Correct answer
1732
Why this answer is correct
Given:
We need to calculate the difference between the number of male participants and the number of female participants in event E2 from all six countries together.
Formula used:
For each country:
Number of males in E2 = (Total participants in E2 x Male ratio) / (Male ratio + Female ratio)
Number of females in E2 = (Total participants in E2 x Female ratio) / (Male ratio + Female ratio)
Difference for each country = Number of males - Number of females
Calculation:
For India (M : F = 17:8):
Males = (500 x 17) / (17 + 8) = 8500 / 25 = 340
Females = 500 - 340 = 160
Difference = 340 - 160 = 180
For US (M : F = 7:5):
Males = (1440 x 7) / (7 + 5) = 10080 / 12 = 840
Females = 1440 - 840 = 600
Difference = 840 - 600 = 240
For China (M : F = 13:7):
Males = (1160 x 13) / (13 + 7) = 15080 / 20 = 754
Females = 1160 - 754 = 406
Difference = 754 - 406 = 348
For Russia (M : F = 7:4):
Males = (1320 x 7) / (7 + 4) = 9240 / 11 = 840
Females = 1320 - 840 = 480
Difference = 840 - 480 = 360
For England (M : F = 9:5):
Males = (840 x 9) / (9 + 5) = 7560 / 14 = 540
Females = 840 - 540 = 300
Difference = 540 - 300 = 240
For Germany (M : F = 3:1):
Males = (728 x 3) / (3 + 1) = 2184 / 4 = 546
Females = 728 - 546 = 182
Difference = 546 - 182 = 364
Total difference:
180 + 240 + 348 + 360 + 240 + 364 = 1732
∴ The total difference between the number of male and female participants in event E2 is 1732.