Institution: Bank Asia Ltd Exam: Bank Asia Ltd - Trainee Officer - 28.10.2016 ||
Topic: Arithmetic Mathematics (পাটিগণিত), Subject: Mathematics (সাধারণ গণিত)

Best Answer Explained in Below-:

To determine the greatest number of members who could have contributed to a total of Tk. 599, with each member contributing at least Tk. 12, we can set up a simple equation. Let \( n \) represent the number of members. Since each member contributes at least Tk. 12, the total contribution can be expressed as \( 12n \).

We want to find the maximum \( n \) such that:

\[ 12n \leq 599 \]

To find \( n \), we divide both sides of the inequality by 12:

\[ n \leq \frac{599}{12} \]

Calculating this gives:

\[ \frac{599}{12} \approx 49.91667 \]

Since \( n \) must be a whole number, we take the integer part of this result, which means \( n \) can be at most 49.

To verify, if there are 49 members, the minimum contribution from each member would be:

\[ 12 \times 49 = 588 \]

Subtracting this from the total collected amount:

\[ 599 - 588 = 11 \]

This leftover amount of Tk. 11 can be distributed among the members such that no member has less than Tk. 12. Hence, it is valid for each of the 49 members to contribute at least Tk. 12.

If we tried 50 members:

\[ 12 \times 50 = 600 \]

This exceeds Tk. 599, confirming that 49 is indeed the maximum number of members. Therefore, the answer is B) 49.