Bangladesh Development Bank recruitment Exam
Written Exam
8. Solve the following mathematical problems:
a. The profit of a company is given in Taka by 
, where x is the amount in Taka spent on advertising. For what values of x does the company make a profit?
Solution:
Given that,
b. An amount of Tk. 7200 is spent to cover the floor of a room by carpet. An amount of Tk. 576 would be saved if the breadth were 3 metres less. What is the breadth of the room?
Solution:
c. Find the three-digit prime number whose sum of the digits is 11 and each digit representing a prime number. Justify your answer.
Solution:
d. If 
then show that a+b+c=pa+qb+rc
Solution:
Let, 
or, 
or,
বামপক্ষ,
ডানপক্ষ,
বামপক্ষ=ডানপক্ষ
e. Prove that a cyclic parallelogram must be a rectangle.
Solution:
f. After traveling 108km, a cyclist observed that he would have required 3 hrs, less if he could have travelled at a speed 3km/hr more. At what speed did he travel?
Solution:
g. Solve: 
…………(i); 
………. (ii)
Solution:
