1. In a class of 65 students and 4 teachers, each student got sweets that are 20% of the total number of students and each teacher got sweets that are 40% of the total number of students. How many sweets are there?

2. The present age of three persons are in the proportion of 4:7:9. Eight years ago, the sum of their ages was 56 years. The present age of the eldest person is -

3. A cricketer whose bowling average is 12.4 runs per wicket takes 5 wickets for 26 runs and thereby decreases his average by 0.4. The number of wickets taken by him till the last match was-

4. Three boys agree to divide a bag of marbles in the following manner. The first boy takes one more than half the marbles. The second takes a third of the number remaining. The third boy finds that he is left with twice as many marbles as the second boy. The original number of marbles is-

5. To fill a tank, 25 buckets of water are required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present capacity?

6. If 3 sides of a triangle are 6 cm, 8 cm, and 10 cm, then the altitude of the triangle, using the largest side as its base, will be-

7. A circle and a rectangle have the same perimeter. The sides of the rectangle are 18 cm and 26 cm. what is the area of the circle?

8. The area of a rectangular field is 52000 sq. meters. This rectangular area has been drawn on a map to the scale 1 cm to 100 m. The length is shown as 3.25 cm on the map. The breadth of the rectangular field in the map is -

9. A square park is surrounded by a path of uniform width 2 meters all around it. The area of the path is 288 sq. meters. Find the perimeter of the park.

10. P and Q started a business in the ratio of 2: 3. After 2 years P left the business but Q continued. After 3 years he had a profit of Tk.26000. What was the profit of P?

11. If the average of 'm' numbers is n2 and that of 'n' numbers is m2, then the average of (m + n) numbers is -

12. $$\begin{gathered} If \frac{x}{(2x+y+z)}=\frac{x}{(x+2y+z)} \\ =\frac{z}{(x+y+2z)}=a \end{gathered}$$,  then find the value of ‘a’ if $(x+y+z)\ne 0$

13. One third of Aman's marks in Mathematics exceeds a half of his marks in English by 30. If he got 240 marks in the two subjects together, how many marks did he get in English?

14. Find the largest number of 5-digits which, when divided by 16, 24, 30 or 36, leaves the same remainder 10 each case.

15. P and Q are two positive integers such that PQ = 64 Which of the following cannot be the value of P +Q?

16. Tk.6000 becomes Tk.7200 in 4 years at a certain rate of simple interest. If the rate becomes 1.5 times of itself, the amount of same principal in 5 years will be-

17. When 30% of one number is subtracted from another number, the second number reduces to its four-fifths. What is the ratio of the first to the second number?

18. Fresh grapes contain 80 percent water while dry grapes contain 10 percent water. If the weight of the dry grapes is 250 kg what is total weight when it was fresh?

19. A man purchases two clocks A and B at a total cost of Tk 650. He sells A with a 20% profit and B at a loss of 25% and gets the same selling price for both clocks. What are the purchasing prices of A and B respectively?

20. The profit earned by selling an article for Tk 900 is double the loss incurred when the same article is sold for Tk 450. At what price should the article be sold to make 25% profit?