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      Question

      Three men or 6 women can do a job in 10 days. 3 men work

      for 7 days and leave. The number of women required to complete the remaining work in 6 days is:
      A 3 Correct Answer Incorrect Answer
      B 4 Correct Answer Incorrect Answer
      C 5 Correct Answer Incorrect Answer
      D 6 Correct Answer Incorrect Answer

      Solution

      • 3 men OR 6 women can complete the work in 10 days
      Let’s express the total work in man-days or woman-days :
      • 3 men × 10 days = 30 man-days
      • 6 women × 10 days = 60 woman-days
      So,
      • 1 man = 2 women in work efficiency
      Calculate Work Done by 3 Men in 7 Days
      • Work = 3 men × 7 days = 21 man-days
      Since 1 man = 2 women, → 21 man-days = 42 woman-days of work completed. Remaining Work Total work (in woman-days) = 60 Work done = 42 Remaining work = 18 woman-days Women Needed to Finish Remaining Work in 6 Days We want to complete 18 woman-days of work in 6 days , so: Women required} = 18/6 = 3 Option D. 3

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