1. If 2n=32

a. 16
b. 25
c. 64
d. 56

2. If x=y=4 and x-y=3, then x+2y is

a. 12
b. 312
c.  4 
d.   412

3. The number 0.01 is how many times as great as the number (0.0001)2

a. 102
b.   104  
c. 106
d.  1010

4. Which of the following is a solution to x+x2=1?

a. -1
c. 1/2
d. None of these

5. If 8 men can do a job in 12 days, what is the percentage change in the number of days required to do the job if 2 men are released?

a. 25%
b. 16%
c. 4%
d. 33.33%

6. If 4x is 9 greater than the sum of x and 3y, then x is how much greater than y?

a. 3
b. 6
c. 9
d. 12

7. In a library system with 6 branches, 60 workers are employed. If no library has fewer than 7 workers and no more than 11, what is the minimum number of workers in any 2 of the branches?

a. 10
b. 14
c. 16
d. 19

8. If the radius of a circle is decreased by 30 percent, by what percent will the area of the circular region decrease?

a. 15%
b. 49%
c. 51%
d. 60%

9. If the average of 9 consecutive integers is 0, what is the average of the last 4 of these integers?

a. n2.5
b. n1
d. 2.5

10. 15 students took a test that was scored from 0 to 100. If exactly 10 students scored 75 of more on the test, find the lowest possible value for the average of the scores of all 15 students.

a. 25
b. 50
c. 70
d. 75

11. If x/y = 3/4, then what is the value of x+y/y?

a. 3/7
b. 4/7
c. 1
d. 7/4

12. If the total surface area of a cube is 24, what is the volume of the cube?

a. 8
b. 24
c. 64
d. 48

13. If 2x+7 =12, then what is 4x-7?

a. 2
b. 2.4
c. 3
d. 10

14. What value of x satisfies the equation x-1 = 1-x?

a. 2
b. 1
d. None of these

15. If 2x=7 and 3y=2, then what is 9xy?

a. 14
b. 18
c. 21
d. 28

16. An employer pays 3 workers X, Y and Z a total of Tk. 610 a week. X is paid 125% of the amount Y is paid and 80% of amount Z is paid. How much does X make a week?

a. 150
b. 200
c. 180
d. 195

17. Four partners distribute their income amongst themselves in the proportions 1:2:3:4. What percent of the income is received by the first partner?

a. 25
b. 20
c. 10
d. 12

18. What is the minimum number of apples that must be added to the existing stock of 264 apples so that the total stock can be equally distributed among 6,7 or 8 persons?

a. 70
b. 72
c. 66
d. 74

19. The difference between two positive numbers is 16. If the smaller of these two numbers is 3/5 of the larger, what is the value of the smaller number?

a. 18
b. 24
c. 30
d. 33

20. Murad bought equal numbers of 20-paisa and 30-paisa stamps. If the total cost of the stamps was Tk. 10.00, What was the total number of stamps bought?

a. 25
b. 34
c. 40
d. 46

21. Coffee A costs 75 cents per pound. It is mixed with Coffee B, which normally costs 80 cents per pound, to form a mixture that costs 78 cents per pound. If there are 10 pounds of the mix, how many pounds of Coffee A were used in the mix?

a. 3
b. 4
c. 4.5
d. 5

22. A man walks 30 minutes at an average speed of 3 miles/hour. He waits 10 minutes for a bus, which bring him back to his starting point at 3:15. If he began his walk at 2:25 the same afternoon, find the average speed of the bus?

a. 1.5 mph
b. 3 mph
c. 6 mph
d. 9 mph

23. If an integer y is subtracted from an integer x and the result is greater than x, then y must be ---

a. Equal to x
b. Less than 0
c. Less than x
d. Grater than 0

24. If 15 men working independently and at the same rate can manufacture 27 baskets in an hour, how many baskets would 45 men working independently and at the same rate manufacture in 40 minutes?

a. 27
b. 35
c. 40
d. 54

25. If 40% of all women are voters and 52% of the population are women, what percent of the population are women voters?

a. 19.2
b. 20.8
c. 26.4
d. 40

26. A company makes a profit of 6% on its first Tk. 1,000 of sales each day and Tk. 55 per thousand on all sales in excess of Tk. 1,000 of that day. How much profit will the company make in a day when sales are Tk. 6,000?

a. 250
b. 300
c. 335
d. 320

27. For every novel in the school library there are two science books, for each science book there are seven economice books. Express the ratio of economics books to science books to novels in the school library as a triple ratio.

a. 7 : 2 : 1
b. 7 : 1 : 2
c. 14 : 7 : 2
d. 14 : 2 : 1

28. The angles of a triangle are in the ratio of 2 : 3 : 4. The largest angle in the triangle is :

a. 40 degree
b. 70 degree
c. 75 degree
d. 80 degree

29. If it takes 50 workers 4 hours to dig a hole, how long should it take 30 workers to dig the same hole?

a. 2 hrs, 24 mins
b. 6 hrs, 12 mins
c. 5 hrs, 12 mins
d. 6 hrs, 40 mins

30. A truck driver must complete a 180-mile trip in 4 hours. If he averages 50 miles an hour for the first three hours of his trip, how fast must he travel in the final hour?

a. 30 mph
b. 35 mph
c. 40 mph
d. 45 mph

31. The average of five consecutive average number is 61. What is the difference between the highest and lowest number?

a. 2
b. 5
c. 8
d. None of these

32. The least perfect square,which is divisible by each 21, 36 and 66 is -

a. 213444
b. 214344
c. 214434
d. 231444

33. A boy multiplied 423 by a number and obtained 65589 as his answer. If both the fives in the answer are wrong and all other figures are correct, the correct answer is-

a. 60489
b. 62189
c. 61189
d. 62389

34. The least number of 5 digits which is exactly divisible by 12, 15, and 18 is -

a. 10010
b. 10015
c. 10020
d. 10080

35. The sum of two numbers is 12 and their product is 35. What is the sum of reciprocals of these numbers?

a. 12/35
b. 1/35
c. 35/8
d. 7/32

36. What will be the difference between simple and compound interest at 10% per annum on a sum of Tk.1000 after 4years?

a. Tk.31
b. Tk. 32.10
c. Tk. 40.40
d. Tk. 64.10

37. If a person walk at 14km/hr instead of 10km/hr, he would walked 20 km more. The actual distance travelled by him is-

a. 50km
b. 56km
c. 70km
d. 80km

38. If 9 examiners can examine a certain number of answer books in 12 days, working 5 hours a day; for how many hours a day would 4 examiners have to work in order to examine twice the number of answer book is 30 days?

a. 3
b. 8
c. 9
d. 10

39. x varies inversely as square of y. Given that y=2 for x=1. The value of x for y=6 will be equal is-

a. 3
b. 9
c. 1/5
d. 1/9

40. If 5% more is gained by selling an article for Tk.350 than by selling it for Tk.340, the cost of the article is-

a. Tk.50
b. Tk.160
c. Tk.200
d. Tk.225

41. At an election involving two candidates, 68 votes were declared ivalid. The winning candidates secure 52% and wins by 98 votes. The total numbers of vote poled-

a. 2382
b. 2450
c. 2518
d. None of these

42. Q is as much younger than R as he is older than T. If the sum of ages of R and T is 50years, What is definately the difference between R and Q's age?

a. 1 years
b. 25years
c. 2 years
d. Data inadequate

43. The sum of two numbers is 22. Five times one number is equal to 6 times the other. The bigger is of the two numbers is-

a. 10
b. 12
c. 15
d. 16

44. ৪, ১৩, ৪০, ১২১..........?

a. ২০৮
b. ২৪৩
c. ১৯৯
d. ৩৮০
e. ৩৬৪

45. যদি সমকোণী ত্রিভুজের সমকোণ সন্নিহিত বাহু দুটির দৈর্ঘ্য ৬ ফুট ও ৮ফুট হলে এর অতিভুজের দৈর্ঘ্য কত?

a. ৭ফুট
b. ১০ফুট
c. ৯ফুট
d. ১৩ফুট
e. ১৫ফুট

46. যদি (১৭/১০)y=০.৫১ হয়,তাহলে y=?

a. ০.৩
b. ১.৩
c. ১.২
d.
e. ০.০৩

47. কোন ব্যবসায়ে ক, খ ও গ এর মূল্ধন যথাক্রমে ৩০২, ৪০০ এবং ৪৮০ টাকা । ব্যবসায় ৩০০টাকা লাভ হলে গ অপেক্ষা ক কত টাকা কম পাবে?

a. ৫০টাকা
b. ৪৫টাকা
c. ৪০টাকা
d. ৩৫টাকা
e. ৩০টাকা

48. কাজের দিন ২টাকা পাওয়া এবং অনুপস্থিতির দিন ৫০ পয়সা জরিমান দেওয়ার শর্তে কাজ করে এক ব্যক্তি সেপ্টেম্বর মাসে ৪০টাকা পেল। ব্যক্তিটি কতদিন কাজে উপস্থিত ছিল?

a. ২২দিন
b. ১৮দিন
c. ২০দিন
d. ১৫দিন
e. ২৩দিন

49. যে চতুর্থভুজের কেবলমাত্র দুটি বাহু সমান্তরাল, তাকে বলে-

a. ট্রাপিজিয়াম
b. রম্বস
c. আয়তক্ষেত্র
d. সামন্তরিক
e. স্কয়ার

50. ০.১+(০.১)২+(০.১)৩ = কত?

a. .১১১
b. .৩
c. .১২১১
d. .২৩৪১
e. .১

51. একটি ঘরের দৈর্ঘ্য ২০% বৃদ্ধি পেল এবং প্রস্থ ১০% হ্রাস পেলো। তা হলে ঐ ঘরের ক্ষেত্রফল কত বৃদ্ধি পেল?

a. ১২%
b. ৮%
c. ১০%
d. ১৪%
e. ৬%

52. দুইটি ক্রমিক সংখ্যার বর্গের অন্তর ২৫১ হলে বড় সংখ্যাটি কত?

a. ১২৫
b. ১২৬
c. ১২৭
d. ১২৮
e. ১২৯

53. কোন পন্যের পুর্বমূল্যঃ বর্তমান মূল্য = ৫ঃ৭ হলে শতকরা মূল্য বৃদ্ধির পরিমাণ কত?

a. ৪০%
b. ২০%
c. ৫০%
d. ৩৫%
e. ১২%

54. If the first and sixth term of a geometric series are respectvily 1/2 and 1/64, then the common ratio is____

a. 1/4
b. 1/2
c. 1
d. 2

55. If x2-7xy+y2  is divided by x-2y, the result is-

a. 3x+2y
b. 3x-2y
c. 2x-3y
d. 2x+3y

56. In the triagnle ABC if AB>AC then which of the following is true?

a. ABC>ACB
b. ABC<BAC
c. ACB>BAC
d. ACB>ABC

57. If the length of side of an equilateral triangle is 4cm. its height is -

a. 2 √3
b. 4 √3
c. 16 √3
d. 32 √3

58. The average of smallest and largest primes between 60 and 80 is -

a. 60
b. 70
c. 60
d. 77

59. A train 240m long passed a pole in 24 sec. How long it will take to pass 650m long platform?

a. 65sec
b. 89sec
c. 100sec
d. 130sec

60. If first thousand natural numbers, how many integers exist such that they leave a reminder 4 when divided by 7 and remaineder 9 divided by 11?

a. 11
b. 13
c. 15
d. 17

61. If 5% is gained by selling an article BDT350 than selling it for BDT340, The cost of the is-

a. BDT180
b. BDT150
c. BDT200
d. BDT250

62. If logx1/9=-2, the x=?

a. -1/3
b. 1/3
c. -3
d. 3

63. If the interest of Tk.H of H% in 4years is Tk.H,Then H=?

a. 25
b. 20
c. 30
d. 32

64. Three workers X, Y and Z, are paid a total of Tk.5,500 for particular jobs. X paid 133.33% of the amount paid to Y and Y is paid 75% amount paid to Z.How much is paid to Z?

a. 1780
b. 1890
c. 1975
d. 2000

65. A cricket team has won 40games out of 60played.It has 30 more games to play.How many of these must the team win to make record 70% win for them?

a. 20
b. 25
c. 23
d. 32

66. Tk.5000 is deposited in a savings account which pays 7% annual interest compounded semi-anually. To the nearest tk how much is at the end of the year?

a. 5423
b. 5356
c. 5122
d. 5247

67. The present age of john and marry are in the ratio of 6:4. Five years ago their ages were ratio of 5:3. How old is john now?

a. 42
b. 36
c. 30
d. 24

68. Waht is the original price of a t-shirt, if the sale price after 15% discount is 272?

a. 300
b. 280
c. 320
d. 314

69. A groccer buy some eggs at tk. 3 each. He find 12 of them are broken, but he sells other at tk.4 each and makes profit of tk.96.How many eggs did he buy?

a. 140
b. 142
c. 144
d. 150

70. Today is Ratuls 12th birthday and his fathers 40th birthday. How many years from today will Ratul's father be twice as old as Ratuls at that time?

a. 12
b. 24
c. 18
d. 16

71. How long will it take for a amont of taka 450 to yeild take 81 as interest at 4.5% per annum of simple interest?

a. 4years
b. 4.5years
c. 5years
d. 5.5 years

72. Consider that w+x=-4, x+y=25 and y+w=15. Then the average of w,x,y is -

a. 3
b. 4
c. 5
d. 6

73. The length of two sides of right angled triangle 13cm and 5cm respectively. The length of the third side is -

a. A greater than 15cm
b. less than 10 cm
c. Equal to 3cm
d. equal to 12cm

74. The difference between two number is 5 and the difference between their squares 65. What is the larger number?

a. 13
b. 11
c. 8
d. 9

75. If x-1/x=√3 than x+1/x=?

a. 3√3
b. √7
c. 2√3
d. 7

76. The diagnal of a rectangular is √41 cm and its area is 24cm2.What is the perimeter of ractangle ?

a. 16cm
b. 17cm
c. 20cm
d. 18cm

77. A card is randomly drawn from a deck of 52 cards. What is the probability of getting a king or Queen ?

a. 3/13
b. 2/13
c. 1/13
d. 4/13

78. In how many years amounts of money will treple itself at a simple rate of interest is 20% per annum?

a. 8
b. 10
c. 12
d. 15
e. 16

79. The circumference of a wheel is 6.25 meters. How many cycles will it make in order to cover a distance of 40km?

a. 4400
b. 4600
c. 6250
d. 6400
e. 6600

80. If a deposit of Tk.750 earns simple interest @ 8% per annum and that of Tk. 1250 earns the same @6% per annum, what is the average rate of interest (in %) earned on the total deposit?

a. 5.33
b. 5.67
c. 6.75
d. 128
e. 72

81. The length of a rectangle is three times its breadth. Waht is the perimeter of the rectangle (in meters) if its length is 48 meteres?

a. 50
b. 60
c. 96
d. 128
e. 72

82. What would be the ratio of x and y if 5x+9y=61 and 7x+3y=47?

a. 5:4
b. 4:5
c. 3:2
d. 2:3
e. 3:4

83. What amount of money (in TK) wil grow to Tk. 2380 in eight years if the simple rate of interest applied is 5% per annum?

a. 1200
b. 1300
c. 1500
d. 1700
e. 1400

84. The length and breadth of a rectangle are 24 meters and 12 meter respectively. By what percent the area of the rectangle will increase if its length and breadth are increased by 6%?

a. 11.36
b. 12.30
c. 12.36
d. 12.58
e. 12.78

85. By what per cent the use of fuel is to be reduced in order to keep expenditure on it at same level when its price is increased by25% ?

a. 25
b. 20
c. 18
d. 15
e. 10

86. In an examination 75% of the students passed in mathematics, 45% passed in general science and 30% passed in both subject. What per cent of the students have failed in both subject?

a. 35
b. 25
c. 10
d. 15
e. 18

87. A bank recruited 126 new employees and found that the total number of its employees has increased by 14%. What was the number of employees in the bank before the new recruitment ?

a. 800
b. 900
c. 1000
d. 1100
e. 1200

88. A train leaving Dhaka at 6am reaches Mymansing at 10 am and another train leaving Mymensing at 7 am and reaches Dhaka at 12 noon. At what time the two trains running opposite direction should meet?

a. 7.40am
b. 8.40am
c. 9.20am
d. 9.40am
e. 10am

89. A farmer employed 36 labor to dig a pond in 15days, but after 10 days of work he discovered that only 50% of the work was done. How many additional labors are to be employed for completing the job in time?

a. 25
b. 30
c. 32
d. 34
e. 36

90. The average age of 6men, 8women and 1 young boy is 35 years. What is the age of the boy,if the average age of the men is 40 and that of the women is 34?

a. 10
b. 11
c. 12
d. 13
e. 14

91. How much is the weight of 5 liter of water if 1 cc of it weighs 1gm?

a. 0.5kg
b. 1kg
c. 25kg
d. 5kg
e. 50kg

92. The element in the position marked by __ in the series B, D, F, ......, 11,_____ is

a. M
b. V
c. 13
d. 15
e. VI

93. If 1/5-1/3=x/30, the value of x?

a. -4
b. 4
c. -5
d. 3
e. -3