 ### 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: