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Which of the following statements is/are correct?

1. If 5 workers complete a task in 12 days, then 10 workers can complete the same task in 5 days.
2. If 8 workers complete a task in 14 days, then 4 workers can complete the same task in 30 days.

Select the answer using the codes given below:

  • A.1 only
  • B.2 only
  • C.Both 1 and 2
  • D.Neither 1 nor 2

Answer: D

Neither 1 nor 2 is correct.

Work is workers times days and stays constant for the same task.

\[ \begin{aligned} 5 \times 12 &= 60 \Rightarrow \tfrac{60}{10} = 6 \text{ days, not } 5 \\ 8 \times 14 &= 112 \Rightarrow \tfrac{112}{4} = 28 \text{ days, not } 30 \end{aligned} \]

Both statements misstate the result of an inverse proportion: doubling the workforce halves the time (12 to 6), and halving it doubles the time (14 to 28).

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