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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. In how many days can 18 men complete the work? Statement I: 5 men and 10 boys can together complete the work in 3 days Statement II: 12 women and 8 boys can together complete the work in 4 days Statement III: 3 men, 5 women and 10 boys can together complete the work 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. In how many days can 18 men complete the work? Statement I: 5 men and 10 boys can together complete the work in 3 days Statement II: 12 women and 8 boys can together complete the work in 4 days Statement III: 3 men, 5 women and 10 boys can together complete the work in 5 days Correct Answer None of the statement will be sufficient

From statement I and II we get this equation

3(5M + 10B) = 4(12W + 8B)

⇒ 15M + 30B = 48W + 32B

⇒ 15M - 48W - 2B = 0      ----(1)

From statement III

⇒ 3M + 5W + 10B = 0      ----(2)

There are three unknowns and only two equations, so it will not be possible to find the required value

∴ None of the statement will be sufficient to answer the question.

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