Bangladesh Bank : Assistant Director(AD): Preliminary Question Solution: Exam Date: 12-11-2021
Question: [ Ссылка ]
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A semicircular sheet of metal of diameter 28 cm is bent into an open conical cup. Determine the height and capacity of the cup. (Bangladesh Bank Officer 2018): [ Ссылка ]
41. Melissa is four times as old as Jim. Pat is 5 years older than Melissa. If Jim is y years old, how old is Pat?
42. The temperature in a city was 200 Celsius. What is the equivalent of this temperature in degrees Fahrenheit?
43. The average (arithmetic mean) of x and y is 20. If z= 5, what is the average of x, y and z?
44. The sum of two integers is 36, and the difference is 6. What is the smaller of the two numbers?
45. The angle measure of the base angles of an isosceles triangle are represented by x and the vertex angle 3x+10. Find the measure of base angle.
46. Wendy has 5 pairs of pants and 8 shirts. How many different combinations can she make with their item.
47. Max goes to the gym every fourth day. Ellen's exercise routine is to go every third day. Today is Monday and both Max and Ellen are at the gym. What will the day of the week be the next time they are both at the gym.
48. The width of a rectangle is 20cm. The diagonal is 8 cm more than the length. Find the length of the rectangle.
49. Find the next number in the following patterns: 320,160, 80, 40......
50. Which of the following terms does not describe the number 9.
A. prime B. integer C. real number D. whole number
51. A bus pick up a group of tourists at a hotel .Th sightseeing bus travels 2 block north, 2 block East ,1 block South , 2 block east, and 1 block south .Where is the bus in relation to the hotel.
52. Two planes leave the airport at the same time Minutes later, plane A is 70 miles due north of the airport and the plane B is 168 miles due cast of the airport .How far apart are the two planes?
53. If the area of a small pizza is 78.5 inchs square .What size pizza box would best fit the small pizza?
54. If the radius of a circle is tripled, the circumference is
55. Jennifer flipped a coin three times and got heads each time. What is the probability that she gets hate on the next flip?
56. What is the greatest common factor of 24 and 64?
57. What is the annual interest rate on an account that earns Tk.948 is simple interest over 36 month with an initial deposit of Tk.7,900?
58. There are 5 doors to a lecture room. In how many ways can a student enter the room through a door and leaves the room by different door?
59. If machine A polishes x unit in 12 minutes and machine B polishes 5x units in 40 minutes in ,how many minutes will A and B, working together, polish 50x units?
60. When a positive integer m is divided by another positive integer n, the remainder obtained is 8. If m/n=89.32 ,what is the value of n?
61. If a bookstore owner buys 15 books less for Tk.900 when the price of each book goes up by Tk.3 , then find the original price of a book.
62. A train takes 10 seconds to cross a pole and 20 seconds to cross a platform of length 200m. What is the length of the train?
63. An employee’s annual salary was increased Tk.15000, If her new annual salary now equals Tk.90000, what was the percent increase?
64. Kona deposited Tk.505 into her savings account. If the interest rate of the account is 5% per year, how much interest will she have made after 4 years?
65. Bill and Ben can clean the garage together in 6 hours. If it takes Bill 10 hours working alone ,how long will it take Ben working alone?
66. The perimeter of a rectangle is 104 inches. The width is 6 inches less than 3 times the length. Find the width of the rectangle.
67. Three shirts and five ties cost Tk 23, Five shirts and 1 tie cost Tk20. What is the price of one shirt?
68. The sum of the square of a number and 12 times the number is -27. What is the smallest possible value of this number?
69. A sector of a circle of radius 5 cm is recast into a right circular cone of height 4 cm. What is the volume of the resulting cone?
70. The area of a rectangular classroom is x²-25. which of the following binomials could represent the length and the width of the room?
