Institution: Bank Asia Ltd Exam: Bank Asia Ltd - Management Trainees - 17.06.2011 ||
Topic: Arithmetic Mathematics (পাটিগণিত), Subject: Mathematics (সাধারণ গণিত)

Best Answer Explained in Below-:

To solve the problem, let's first determine the total amount of food available. If there is enough food to feed 300 students for 15 days, we can calculate the total student-days of food:

\[
\text{Total food} = 300 \text{ students} \times 15 \text{ days} = 4500 \text{ student-days}
\]

Next, let’s examine how the food is consumed when new students are admitted. We know that with the new students, the food only lasted for 10 days. Let’s denote the number of new students admitted as \( x \). Therefore, the new total number of students is \( 300 + x \).

Now, we can express the total food consumption with these new students over the 10 days:

\[
\text{Food consumption} = (300 + x) \text{ students} \times 10 \text{ days}
\]

Since we already calculated the total food available (4500 student-days), we can set up the equation:

\[
4500 = (300 + x) \times 10
\]

Dividing both sides by 10 gives:

\[
450 = 300 + x
\]

Now, we can solve for \( x \):

\[
x = 450 - 300 = 150
\]

Thus, 150 new students were admitted to the dormitory. Hence, the correct answer is C) 150.