DU ঢাকা বিশ্ববিদ্যালয় আইবিএ (বিবিএ) ভর্তি পরীক্ষা ২০১৯-২০২০

The shaded region in the figure above represents a frame shaped as a right triangle with sides $A B =15 \mathrm{~cm}$ and $A C=17 \mathrm{~cm}$ . The frame $A B C$ encloses a picture, shaped also as a right triangle, whose area is $1 / 2$ of the area of the frame. If the sum of the lengths of the two sides of the triangular picture is 14 cm, what is the length of the hypotenuse of the picture?

If $-8 \leq x \leq 2$ and $-4 \leq y \leq 10$ which of the following represents the range of all possible values of $x y$ ?

The average age of a team is 32.7 years. The average age of the males in the team is 33.2 years and the average age of the females is 32.2 years. What is the ratio of the number of females to the number of males in the team?

In the figure above $O$ is the center of the circle and $P Q$ is the diameter and angle $P=30$ degrees. If the length of $P R$ is 12 cm , what is the area of the circle?

A sum of BDT 200 will be divided among 5 swimmers, named Emran, Durjoy, Chopol, Billal and Anabi, who have just finished a swimming competition. Everyone will receive at least BDT 5 and no two swimmers will receive the same amount of money. Emran has come $1^{\text {st }}$ and will get BDT 80; Durjoy has come $2^{\text {nd }}$ , Chopol is $3^{\text {rd }}$ , Billal is $4^{\text {th }}$ and Anabi is last. Moreover, the distribution of money is subject to the following conditions:• No one will get any fractional amount of money.• The swimmer who finishes earlier must receive more money than the swimmer(s) he defeats.What are the greatest and least amount of money, consecutively, that Billal can receive?

A sum of BDT 200 will be divided among 5 swimmers, named Emran, Durjoy, Chopol, Billal and Anabi, who have just finished a swimming competition. Everyone will receive at least BDT 5 and no two swimmers will receive the same amount of money. Emran has come $1^{\text {st }}$ and will get BDT 80; Durjoy has come $2^{\text {nd }}$ , Chopol is $3^{\text {rd }}$ , Billal is $4^{\text {th }}$ and Anabi is last. Moreover, the distribution of money is subject to the following conditions:• No one will get any fractional amount of money.• The swimmer who finishes earlier must receive more money than the swimmer(s) he defeats.What are the greatest and least amount of money, consecutively, that Durjoy can receive?

A sum of BDT 200 will be divided among 5 swimmers, named Emran, Durjoy, Chopol, Billal and Anabi, who have just finished a swimming competition. Everyone will receive at least BDT 5 and no two swimmers will receive the same amount of money. Emran has come $1^{\text {st }}$ and will get BDT 80; Durjoy has come $2^{\text {nd }}$ , Chopol is $3^{\text {rd }}$ , Billal is $4^{\text {th }}$ and Anabi is last. Moreover, the distribution of money is subject to the following conditions:• No one will get any fractional amount of money.• The swimmer who finishes earlier must receive more money than the swimmer(s) he defeats..What are the greatest and least amount of money, consecutively, that Chopol can receive?