In 2000, what was the ratio of the number of retired male fighters to retired female fighters among those being tracked?
Refer to the bar graph provided with this set.
Refer to the bar graph provided with this set.
Answer and solution
Correct answer: C
Solution
Answer: C — 71 : 69
1. Each gender begins with 1000 fighters.
2. In 2000 sum male bars across 30–40,40–50,50–60,60–70: 180+205+160+100=645.
3. Male retirements are 1000−645=355. Female survivors are 210+175+150+120=655, giving 345 retirements.
4. Form the requested male: female ratio 355:345 and divide both terms by 5.
5. Answer: C, 71:69.
Detailed setup and verification:
The required quantity is retired fighters, whereas the bars show active fighters. First sum all 2000 active bars separately by gender; only then subtract each from its own initial 1000. Combining genders first would lose the information needed for the ratio.
Male check: 645 active+355 retired=1000. Female check: 655 active+345 retired=1000. The ratio is retired male:retired female, so 355:345=71:69; reversing it gives 69:71 and comparing active totals gives 129:131, a distractor.
Verification: 1. Each gender begins with 1000 fighters.
2. In 2000 sum male bars across 30–40,40–50,50–60,60–70: 180+205+160+100=645.
3. Male retirements are 1000−645=355. Female survivors are 210+175+150+120=655, giving 345 retirements.
4. Form the requested male: female ratio 355:345 and divide both terms by 5.
5. Answer: C, 71:69.
Trap to avoid: Use the exact requested cohort, statistic or rank condition; the worked check above establishes the result.
1. Each gender begins with 1000 fighters.
2. In 2000 sum male bars across 30–40,40–50,50–60,60–70: 180+205+160+100=645.
3. Male retirements are 1000−645=355. Female survivors are 210+175+150+120=655, giving 345 retirements.
4. Form the requested male: female ratio 355:345 and divide both terms by 5.
5. Answer: C, 71:69.
Detailed setup and verification:
The required quantity is retired fighters, whereas the bars show active fighters. First sum all 2000 active bars separately by gender; only then subtract each from its own initial 1000. Combining genders first would lose the information needed for the ratio.
Male check: 645 active+355 retired=1000. Female check: 655 active+345 retired=1000. The ratio is retired male:retired female, so 355:345=71:69; reversing it gives 69:71 and comparing active totals gives 129:131, a distractor.
G Strategy shortcut
Method: 2000 survivors 645 M, 655 F; retirements 355M,345F →71:69.Verification: 1. Each gender begins with 1000 fighters.
2. In 2000 sum male bars across 30–40,40–50,50–60,60–70: 180+205+160+100=645.
3. Male retirements are 1000−645=355. Female survivors are 210+175+150+120=655, giving 345 retirements.
4. Form the requested male: female ratio 355:345 and divide both terms by 5.
5. Answer: C, 71:69.
Trap to avoid: Use the exact requested cohort, statistic or rank condition; the worked check above establishes the result.
G Strategy: Method: 2000 survivors 645 M, 655 F; retirements 355M,345F →71:69. Verification: 1. Each gender begins with 1000 fighters. 2. In 2000 sum male bars across 30–40,40–50,50–60,60–70: 180+205+160+100=645. 3. Male retirements are 1000−645=355. Female survivors are 210+175+150+120=655, giving 345 retirements. 4. Form the requested male: female ratio 355:345 and divide both terms by 5. 5. Answer: C, 71:69. Trap to avoid: Use the exact requested cohort, statistic or rank condition; the worked check above establishes the result.