Institution: Bangladesh Shilpa Bank Ltd Exam: Bangladesh Shilpa Bank Ltd - Officer - 2004
Topic: Arithmetic Mathematics (পাটিগণিত), Subject: Mathematics (সাধারণ গণিত)

Best Answer Explained in Below-:

To solve the problem, we first calculate the total amount of work done in man-days. If 8 men can complete a job in 12 days, then the total work is:

\[
\text{Total Work} = \text{Number of Men} \times \text{Days} = 8 \times 12 = 96 \text{ man-days}.
\]

Now, if 2 men are released, we are left with 6 men. To find out how many days it will take these 6 men to complete the same job, we use the formula:

\[
\text{Days} = \frac{\text{Total Work}}{\text{Number of Men}} = \frac{96}{6} = 16 \text{ days}.
\]

Next, we find the percentage increase in the number of days required to finish the job when 2 men are released. Initially, the job took 12 days, and with 6 men, it now takes 16 days. The increase in days is:

\[
\text{Increase} = 16 - 12 = 4 \text{ days}.
\]

To find the percentage change, we use the formula:

\[
\text{Percentage Change} = \left(\frac{\text{Increase}}{\text{Original Days}}\right) \times 100 = \left(\frac{4}{12}\right) \times 100 \approx 33.33\%.
\]

Thus, when 2 men are released, the number of days required to complete the job increases by approximately 33.33%, which corresponds to option D.