Question
In how many days can 16 men and 8 women together
complete a piece of work? I. 8 men complete the piece of work in 10 days. II. 16 women complete the piece of work in 10 days. III. 5 women take 32 days to complete the piece of work. In each of the following questions, a question is followed by information given in three statements. You have to study the question along with the statements and decide that the information given in which of the statements is necessary to answer the question.Solution
From I & II, 8 Men → 10 days 16 Men → (10 × 8)/16 = 5 days. 16 women → 10 days 8 women → (10 × 16)/8 = 20 days. (16 Men + 8 women)’s work = 1/5 + 1/20 = 1/4 16 Men and 8 women can complete in 4 days. From I & III, 8 Men → 10 days 16 Men → (10 × 8)/16 = 5 days. 5 women → 32 days 8 women → (5 × 32)/8 = 20 days. (16 Men + 8 women)’s work = 1/5 + 1/20 = 1/4 16 Men and 8 women can complete in 4 days. Hence statement I and either II or III is sufficient to answer the question.
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