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      Question

      Find the tank taken by Pipe P1 to fill the tank

      alone. Statement I: Pipe P1 takes 14 hours less to fill the tank than pipe P2. Statement II: Pipe P3 can fill the tank alone in 56 hours, and the time taken by pipe P3 is 33.33% more than the time taken by pipe P2. In each of the following questions two statements I and II or three statements I, II and III is given. Find which statement or pair of statements is sufficient to answer the questions.
      A Statement I alone is sufficient to answer the questions Correct Answer Incorrect Answer
      B Statement II alone is sufficient to answer the question Correct Answer Incorrect Answer
      C Either statement I or II is sufficient to answer the question. Correct Answer Incorrect Answer
      D Both statements I and II are required to answer the question. Correct Answer Incorrect Answer
      E Both statements together are not sufficient to answer the question. Correct Answer Incorrect Answer

      Solution

      It is clear that no statement alone is sufficient to answer the question. We need to check if the combination of statements is sufficient or not. From statement I & II Time taken by Pipe P3 = 56 hours Time taken by pipe P2 = 56 x 3/4 = 42 hours So, time taken by pipe P1 alone = 42 – 14 = 28 hours Hence answer is option D

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