In a garrison there is enough food for 800 men for 20 days. After 5 days 200 men desert. How would the food will last now:
Correct answer: B. 20
- A. 10
- B. 20
- C. 8
- D. 40
Explanation
Initially, there's enough food for 800 men for 20 days, meaning the total food available is 800 men x 20 days = 16,000 man-days of food.After 5 days, 800 men have consumed 800 men x 5 days = 4,000 man-days of food, leaving 12,000 man-days of food.With 200 men deserting, 600 men remain. The remaining food will now last for 12,000 man-days / 600 men = 20 days.Options A, C, and D are incorrect because the calculations show that the food lasts for 20 days after the changes. Option B is correct because it reflects this outcome accurately.
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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