Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer. A, B, and C together can do a piece of work in 12 days. Find in how many days C alone can complete the work. I. A and B together can complete the work in 15 days. II. B and C together can complete the work in 20 days. Correct Answer If the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question. Calculation: From statement I Work is done by A, B, and C in a day = 1/12 Work is done by A and B in a day = 1/15 Work is done by C in a day = (1/12) – (1/15) ⇒ {(5 – 4)/60} ⇒ 1/60 Then, Time is taken by C to complete the work = 60 days So, the statement I alone is sufficient to answer the question. From statement II Work is done by A, B, and C in a day = 1/12 Work is done by B and C in a day = 1/20 So, statement II alone is not sufficient to answer the question. ∴ The data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.