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      Question

      30 typists working 7 hours per day can complete a typing

      job in 15 days. ____ typists working _____ hours per day can complete (2/3)rd part of the work in 12 days. The values given in which of the following options will fill the blanks in the same order in which it is given to make the statement true: I. 35, 6 II. 42, 5 III. 28, 9
      A All of I, II and III Correct Answer Incorrect Answer
      B Only I and II Correct Answer Incorrect Answer
      C Only I and III Correct Answer Incorrect Answer
      D Only II and III Correct Answer Incorrect Answer
      E None of the above is true Correct Answer Incorrect Answer

      Solution

      According to the question, Total work to be done = (2/3) Γ— 30 Γ— 15 Γ— 7 = 2100 units. For I: Number of typists = 35 Desired number of hours = 2100/(12 Γ— 35) = 5 hours So, β€˜I’ cannot be true. From II: Number of typists = 42 Desired number of hours = 2100/(12 Γ— 42) = 4.17 hours So, β€˜II’ cannot be true. From III: Number of typists = 28 Desired number of hours = 2100/(12 Γ— 28) = 6.25 hours So, β€˜III’ cannot be true.

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