Question

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.

• A. $I$ only
• B. $II$ and $III$ only
• C. $III$ only
• D. $I$ and $III$ only
• E. Any one of the three

Answer 1

The correct option is E Any one of the three

$I$. $\frac{20}{100}$ work can be completed by $(8\times 8)$ workers in $1$ day.
$\Rightarrow$ Whole work can be completed by $(8\times 8\times 5)$ workers in $1$ day.
$=\frac{8\times 8\times 5}{10}$ workers in $10$ days $=32$ workers in $10$ days.
$II$. $(20\times 16)$ workers can finish it in $1$ day.
$\Rightarrow$ $\frac{(20\times 16)}{10}$ workers can finish it in $10$ days.
$\Rightarrow$ $32$ workers can finish it in $10$ days.
$III$. $\frac{1}{8}$ work can be completed by $(8\times 5)$ workers in $1$ day.
$\Rightarrow$ Whole work can be completed by $(8\times 5\times 8)$ workers in $1$ day.
$=\frac{8\times 5\times 8}{10}$ workers in $10$ days $=32$ workers in $10$ days.
$\therefore$ Any one of the three gives the answer.
$\therefore$ Correct answer is (E).