Multiple choice

How many worker are required for completing the construction work in $10$ days? $I$. $20$% of the work can be completed by $8$ workers in $8$ days. $II$. $20$ workers can complete the work in $16$ days. $III$. One-eighth of the work can be completed by $8$ workers in $5$ days.

  1. $I$ only
  2. $II$ and $III$ only
  3. $III$ only
  4. $I$ and $III$ only

  5. Any one of the three
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

All three statements provide enough information to calculate the total work capacity and thus the number of workers required for 10 days. I: 20% in 8 days by 8 workers -> 100% in 40 days by 8 workers -> 10 days by 32 workers. II: 20 workers in 16 days -> 10 days by 32 workers. III: 1/8 in 5 days by 8 workers -> 100% in 40 days by 8 workers -> 10 days by 32 workers.

AI explanation

We must find the total number of workers needed to finish the job in 10 days. Statement I shows that 8 workers take 8 days for 20% of the work, meaning 32 worker-days equal 1/5 of the job, so the full job requires 160 worker-days; dividing by 10 days gives 16 workers. Statement II directly states 20 workers finish the job in 16 days, meaning the total work is 320 worker-days, so dividing by the target 10 days yields 32 workers. Statement III reveals that 8 workers take 5 days to complete 1/8 of the job, meaning the total work is 320 worker-days; dividing by 10 days gives 32 workers. Thus, any one of the three statements is individually sufficient to answer the question.

Keep practicing — related questions