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      Question

      Each question below is followed by two statements I and

      II. You have to decide whether the data given in the statements are sufficient to answer the question. In how many days can A and B together complete a piece of work? I. A alone can complete the work in 12 days and B alone can complete it in 18 days. II. A and B together can complete 5/36 of the work in one day.
      A If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient. Correct Answer Incorrect Answer
      B If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient. Correct Answer Incorrect Answer
      C If the data either in statement I alone or in statement II alone are sufficient to answer the question. Correct Answer Incorrect Answer
      D If the data in both statements I and II together are necessary to answer the question, but neither statement alone is sufficient. Correct Answer Incorrect Answer
      E If the data in both statements I and II together are not sufficient to answer the question. Correct Answer Incorrect Answer

      Solution

      ATQ, From I: A’s 1-day work = 1/12 B’s 1-day work = 1/18 Together in 1 day = 1/12 + 1/18 = (3 + 2) / 36 = 5/36 So total time = 1 ÷ (5/36) = 36/5 days. I alone is sufficient. From II: Given directly: in 1 day they do 5/36 of the work. Total time = 1 ÷ (5/36) = 36/5 days. II alone is also sufficient. Either I alone or II alone gives the answer.

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