1. The side length inscribed in a is 2. What is the area of the circle?
2. A survey of n people in the town of X found that 50% of them prefer Brand A. Another survey of 100 people in the town of Y found that 60% prefer Brand A. In total, 55% of all the people surveyed together prefer Brand A. What is the total number of people surveyed?
3. In a factory, there are workers, executives and clerks. 59% of the employees are workers, 460 are executives and the remaining 360 employees are clerks. How many employees are there in the factory?
4. A worker is hired for 7 days. Each day, he is paid 10 Tk. more than what he is paid for the preceding day one work. The total amount he was paid in the first 4 days of work equaled the total amount he was paid in the last 3 days. What was his starting pay?
5. If x+y=7 and x2+y2=25, then which one of the following equals the value of x3+y3?
6. One day, Mr. Karim started 30 minutes late from home and reached his office 50 minutes late, while driving 25% slower than his usual speed? How much time in minutes does Mr. Karim usually take to reach his office from home?
7. The seventh number in a sequence of numbers is 31 and each number after the first number in the sequence is 4 less than the number immediately preceding it. What is the fourth number in the sequence?
8. A rectangular field is 3. 2 yards long. A fence marking the boundary is 11.2 yards in length. What is the area of the fields in square yard?
9. If (2x-1)2=100, then which one of the following could equal x?
10. If 42.42=k(14+m/50), where K and m are positive integers and m<50, then what is the value of k+m?
11. If in a certain language PRIVATE is 1234567 and RISK is coded as 2398, how is TRIVETS coded in the language?
12. Which number will complete the series 1,3,7,15,31,63------?
13. Six persons A, B, C, D, E, and F are standing in a circle. B is between F and C; A between E and D. F is in the left of D. Who is between A and F?
14. A man left Tk. 5000 to his three sons X, Y and Z. For every Taka X received, Y received Tk. 1.5 and Z received Tk. 2.5. How much money was left to Y?
15. A ferry can travel twice as fast when empty as when it is full. It travels 20 mile with full load, spends 1 hour for unloading and returns to its original port empty. It took 11 hours to complete the journey. What is the speed when the ferry is empty?
16. If 3/x=2 and y/4=3, then 3+y/x+4=?
17. The persons, X & Y, are standing 50 yards apart on a North-South axis. X walks 65 yards to west and Y walks 55 yards to the East and both stop. Find the straight line distance in yeards between these two positions?
18. If a, b and c are constants, a>b>c, and x3-x=(x-a)(x-b)(x-c) for all numbers x, what is the value of b?
19. Salem earns Tk. 8.50 per hour on days other than Sundays and twice that rate on Sundays. Last week he worked a total of 40 hours, including 8 hours on Sunday. What were her earnings for the week?
20. If the length and width of a rectangular garden plot were each increased by 20%, what would be the percent increase in the area of the plot?
21. Last year if 97% of the revenues of a company came from domestic sources and the remaining revenues, totaling Tk. 4,50,000, came from foregin sources, what was the total of the company's revenues?
22. If the numbers 17/24, 1/2, 3/8, 3/4 and 9/16 were ordered greatest to least, the middle number of the resulting sequence would be ----
23. If positive integers x and y are not both odd, which of the following must be even?
24. Which of the following numbers can be placed at the sign interrogation?
25. If the letter M was removed from the alphabet, what would the middle letter of the alphabet be?
26. If word 'NATION' is written as OCWMTT how COUNTR would be written in that code?
27. If P denotes + Q denotes - R, denots +and S denotes X, then what is the value of 18s36R12Q6p7?
28. A dishonest trader mixes 2 kg of vegetable ghee costing Tk. 45 a kg with 3 kg of standard ghee costing Tk. 70 kg. He sells the mixed ghee at Tk. 65 per kg. What his percentage of profit?
29. What is the remainder when is diveded by 5?
30. If xy>0 and yz<0, which of the folowing must negative?
31. in a shipment of 120 machine parts, 5% were defective. In a shipment of 80 machine parts 10% were defective. For the two shipments combined, what percent of the machine parts were defective?
32. The price of a certain stock increased by 0.25 of 1 pecent on a certain. By what fraction did the price of the stock increase that day?
33. What number when multiplied by as the results?
34. What is the maximum number of foot of wire that can be cut from a wire that is 24 feet long?
35. If Tk. 1000 is invested in an account paying 10% compounded monthly, how much would be the nearst ending balance at the end of 10 years?
36. There are 10 books on a shelf, of which 4 are paperbacks and 6 are hardbacks, How many possible elections of 5 books from the shelf contain at least one paperback and at least one hardback?
37. A man is in need of money for 120 days. He asked the banker and the banked charged Tk. 360 60%. What was the amount asked for?