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      Question

      How much time does A take alone to complete the

      work? I. B alone takes 45 days, while A and B together take 15 days to complete the work. II. A and B can do a piece of work in 8 days, and B and C can do the same work in 12 days. Each of the questions given below has one question and two statements marked I and II. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
      A If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question. 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 to answer the question. Correct Answer Incorrect Answer
      C If the data in both statement I and II together are required to answer the question. Correct Answer Incorrect Answer
      D If the data either in statement I alone or in statement II alone is sufficient to answer the question Correct Answer Incorrect Answer
      E If the data even in both the statement I and II together are not sufficient to answer the question. Correct Answer Incorrect Answer

      Solution

      From I, Let total work = LCM of 45 and 15 = 45 units So B 's 1 day work = 45/45 =1 unit and A & B's 1 day together work = 45/15 = 3 units So B's 1 day work = 3-1 =2 units So B can do this job in = 45/2 = 22.5 days OR 1/A = 1/15 - 1/45 = 2/45 Therefore, A takes 45/2 = 22.5 days to complete the work. From II, we cannot get the answer. Therefore, data statement I alone is sufficient to answer the question.

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