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The following question, there are three statements I, II and III. Read the question carefully and mark your answer according to which statements(s) is/are sufficient to the answer the question. How many workers are required to complete the work in 15 days? Statement I: 15% of the work can be completed by 5 workers in 5 days Statement II: 20 workers can complete the work in 12 days Statement III: (1/5)th of the work can be completed by 6 workers in 5 days

The following question, there are three statements I, II and III. Read the question carefully and mark your answer according to which statements(s) is/are sufficient to the answer the question. How many workers are required to complete the work in 15 days? Statement I: 15% of the work can be completed by 5 workers in 5 days Statement II: 20 workers can complete the work in 12 days Statement III: (1/5)th of the work can be completed by 6 workers in 5 days Correct Answer None of these

Given that

Statement II:

Total work = 20 × 12 = 240 units

Using the concept of man-days, 240 units = men × No. of days

⇒ 240 = men (workers) × 15

⇒ No of workers = 240/15 = 16

Statement II is sufficient to find the number of workers required to complete the work in 15 days

Statement I:

5 workers can complete 15% of work in 5 days

5 workers can complete 45% of work in 15 days

To complete 100% work in 15 days

100/9 worker would be required

Statement I is sufficient to find the number of workers required to complete the work in 15 days

Statement III: 

(1/5)th of the work can be completed by 6 workers in 5 days

For completing 1/5 work in 15 days, 2 workers are required

For completing total work in 15 days, 10 workers are required

Statement III is sufficient to find the number of workers required to complete the work in 15 days.

Hence, any one of them is sufficient to answer.

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