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A garrison has sufficient food for 500 people to survive for 6 days. At the end of 2 days 100 men desert. How long the provisions are sufficient for now?

Correct answer: A. 5

  • A. 5
  • B. 6
  • C. 4
  • D. 10

Explanation

The provisions equal 500 people x 6 days = 3000 person-days. The first 2 days consume 500 x 2 = 1000 person-days, leaving 2000 person-days; after 100 men desert, 400 people remain, so the food lasts 2000 ÷ 400 = 5 days. The likely mistake is 6 days, which ignores the food already consumed.

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