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      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.
      A Only I and II Correct Answer Incorrect Answer
      B Only I and III Correct Answer Incorrect Answer
      C Only II and III Correct Answer Incorrect Answer
      D Only I and either II or III Correct Answer Incorrect Answer
      E Any two of the three Correct Answer Incorrect Answer

      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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