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      Question

      Pipe A can fill a tank in 45 minutes while pipe B can

      fill it in ____ minutes. There’s a leak in the tank which can empty it in _____minutes. When both the pipes are open, due to the effect of the leak, the tank gets filled in 30 minutes. Which of the following values can fill the blanks in the same order? I. 60, 80 II. 70, 50 III. 45, 90 IV. 36, 60
      A only III and IV Correct Answer Incorrect Answer
      B only II and IV Correct Answer Incorrect Answer
      C only I and III Correct Answer Incorrect Answer
      D All are true Correct Answer Incorrect Answer
      E only II and III Correct Answer Incorrect Answer

      Solution

      From I: Portion of tank filled in a minute = 1/45 + 1/60 - 1/80 = (16 + 12 – 9)/720 = 19/720 Hence, I does not follow From II: Portion of the tank filled in a minute 1/45 + 1/70 – 1/50 = (70+45-63)/3150 = 52/3150 Hence II also does not follow. From III: Portion of the tank filled in a minute. = 1/45 + 1/45 – 1/90 = (2 + 2 – 1)/90 = 3/90 = 1/30 From IV: Portion of the tank filled in a minute = 1/45 + 1/36 – 1/60 = (4 + 5 – 3)/180 = 6/180 = 1/30 Hence only III and IV satisfy the given blanks.

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