1. If x + y =4 and x-y =3 then x + 2y =?

a. 12
b. 412
c. 3.5
d. 4

2. Of the following ,which is the largest?

a. 12
b. 715
c. 49100
d.    126250

3. If the product of 3 consecutive integers is 120, then the sum of the integers is --

a. 9
b. 12
c. 14
d. 15

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

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

5. One dozen of eggs and ten pounds of apples are currently of the same price. If the price of egg increase by 10% and the price of apple increase up by 2% how much more will it cost to buy a dozen of eggs and ten pounds of apples?

a. 2%
b. 12%
c. 6%
d. 10%

6. A club has member. If the club wants to form a committee of 4 members, how many different committees can be formed?

a. 1680
b. 896
c. 3136
d. None of these

7. If X is an odd integer and Y is an even integer, which of the following statements is true?

a. X+Y is odd
b. XY is odd
c. 2X+Y is odd
d. None of these

8. 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

9. If Arif takes 5 minutes to make a box and Kalam takes 6 minutes to make the same box, what will be the ratio of the number of boxes produced by Airf to the number of boxes produced by Kalam if they work for 2 hours?

a. 6 to 5
b. 7 to 5
c. 5 to 7
d. 5 to 6

10. If one number exceeds another by 13 and the larger number, is 3/2 times the smaller number, then the smaller number is ---

a. 13
b. 26
c. 31
d. 39

11. The width of a rectangular field is 1/3 rd its length. What is the area of the field in square yards if its length is 120 yards?

a. 480
b. 5000
c. 2400
d. 4800

12. If 15 men working at same rate can make 27 baskets in an hour, how many baskets would 45 workers make in 40 minutes?

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

13. Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

a. 648
b. 1800
c. 2700
d. None of these

14. 5% of which number is 25?

a. 5
b. 250
c. 500
d. None of these

15. A sum of money is divided among Nyla, Shaminn and Raqib in such way that Nyla gets half the amount, Sharmin gets 3/4 of Nyla's share and Raqib ends up with 40. What is the total amount?

a. 120
b. 180
c. 240
d. 320

16. 0.03 times .05 is ---

a. 15%
b. 0.15%
c. 1.5%
d. 0.015%

17. If x>y and y is a positive integer, which of the following cannot be true?

a. xy>0
b. x/y >0
c. y/x >1
d. x-y >0

18. Mr.Karim wants to put up fencing around three sides of his rectangular yard and leave a side of 10 feet unfenced. If the yard has an area of 340 sq. feet, how many feet of fencing does he need?

a. 74
b. 84
c. 64
d. None of these

19. When a certain number is divided by 7, the remainder is O. But the remainder in not O if the number is divided by 14, what is the number?

a. 1
b. 2
c. 4
d. 7

20. If 2x+7=12, then what is the value of 4x-7?

a. 2
b. 4
c. 3
d. 10

21. 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 O
c. Less than X
d. Greater than O

22. Of the followings, which is the largest?

a. 1/2
b. 7/15
c. 49/100
d. 126/250

23. A box contains 48 balls some red and some black. Each of the followings could be the ratio of red to black balls except ---

a. 1:1
b. 3:1
c. 4:3
d. 5:3

24. If Tk. 45,000 was invested in a share when the price per share was Tk. 90 and Tk. 30,000 was invested when the price per share was Tk. 60, what was the average price per share purchased?

a. Tk. 80
b. Tk. 75
c. Tk. 77.5
d. None of these

25. A farmer has two rectangular fields. The larger field has twice the length and four times the width of the smaller field. If the area of the smaller field is K units, what is the area of the larger field?

a. 2K
b. 6K
c. 7K
d. 8K

26. 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. 45 mph
c. 35 mph
d. 40 mph

27. If 2x=7 and 3y=2, then what is the value of 9xy?

a. 21
b. 18
c. 22
d. 28

28. If the length of a rectangle is increased by 20% and the width is decreased by 20%, then the area is :

a. decreased by 20%
b. decreased by 4%
c. stays the same
d. increases by 10%

29. Which of the following is a solution to the equation x+x2=1 ---

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

30. If the average of 5 consecutive integers is 12, find the smallest integer.

a. 10
b. 57
c. 60
d. 59

31. 60 + 15-135 =?

a. '0'
b. 1
c. √3
d. √60
e. 2

32. If the length of a rectangle is 8 cm and its diagonal is 10 cm, find its area.

a. 64 cm2
b. 40 cm2
c. 48 cm2
d. 80 cm2
e. 85 cm2

33. A can do a piece of work in 15 days and B can do it in 10 days. Working together how long will they take to finish the work?

a. 5 days
b. 6 days
c. 7 days
d. 8 days
e. 4 days

34. On selling an article for Tk. 550, a man gains 10%. What will be the selling price, if desired profit is 20%?

a. Tk. 500
b. Tk. 600
c. Tk. 660
d. Tk. 715
e. Tk. 800

35. X sells a product to Y and makes a profit of 25%. Y sells it to Z at a loss of 20%. If Z buys it for Tk. 140, what is X's purchase price?

a. 210
b. 175
c. 140
d. 150
e. None of these

36. In a university, 80 percent of the students lived in hostel, and 60 percent of the hostel students are lucky to get a single room. If number of lucky students is 1200, then how many students were there in the university?

a. 2500
b. 2400
c. 2000
d. 1500
e. 1800

37. if 1/2 of the money in a certain trust was invested in stocks, 1/4 in bonds, 1/5 in a mutual fund, and the remaining Tk. 10,000 ina government certificate, what was the total amount of the trust fund?

a. 1,00,000
b. 1,50,000
c. 2,00,000
d. 2,50,000
e. 3,00,000

38. Which one of the following fractions is the smallest?

a. 2/9
b. 5/8
c. 1/2
d. 7/12
e. None of these

39. The ratio of boys and girls in a class is 1 : 2 and the classroom has 24 students. How many boys would have to be admitted to make ratio of boys to girls 1 : 1?

a. 6
b. 8
c. 10
d. 12
e. 14

40. The value of 0.4*0.04*0.004*40 is --

a. 0.00256
b. 0.000256
c. 0.0256
d. 0.256
e. 2.56

41. A boat goes 13 Km upstream (against current) in 39 minutes. THE SPEED OF STREAM (current) is 3 km/hr. what is the speed of the boat in still water?

a. 23 km/hr
b. 27km/hr
c. 17km/hr
d. 20km/hr
e. None of the above

42. Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. at this rate, how many bottles could 10 such machines produce in 4 minutes?

a. 6,48
b. 1,800
c. 2,700
d. 10,800
e. None of the above

43. Fresh grapes contain 90% water by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 20 kg of fresh grapes?

a. 2 kg
b. 2.4 kg
c. 2.5 kg
d. 1.8 kg
e. try yourself

44. Ratan sells a tape- recoder to Mizan at a loss of 10% and Mizan sells it Shihab at a loss of 20%. If Shihab pays TK. 1440 for it, at what price did Ratan buy?

a. TK. 1,920
b. TK. 2,000
c. TK. 2,110
d. TK. 1,800
e. None of the above

45. in a mixture of 60 liters, the ratio of milk and water 1:2 ?

a. 55 liters
b. 60 liters
c. 75 liters
d. 80 liters
e. None of the above

46. Having scored 98 runs in the 19th innings, a crickter increases his average score by 4. What will be his average score after the 19thinnings?

a. 22
b. 24
c. 28
d. 26
e. None of the above

47. The value of machine is TK.6250. Its value decreases by 10% during the first year, 20% during second year and 30% during the third year. What will be the value of the machine after 3 years?

a. 2650
b. 3050
c. 3150
d. 3750
e. None of the above

48. One side of a square is increased by 20%. What percentage will the other side have to be decreased in order to maintain the same area of the square?

a. 30%
b. 15%
c. 2313%
d. 1623%
e. None of the above

49. If 200% of a number is 90, then what is 80% of that number?

a. 48
b. 45
c. 36
d. 24
e. None of the above

50. If the numerator and the denominator of a proper fraction are increased by the same quantity, then the resulting fraction is --

a. Always greater than the original fraction
b. Always less than the original fraction
c. Always equal to the original fraction
d. Is not possible to determine
e. None of the above

51. Two equal glasses are respectively 1/3 and 1/4 full of milk, They are then filled up with water and the coutents mixed in a tumbler .What is the ratio of milk and water in the tumbler?

a. 7 ; 14
b. 7 ; 17
c. 7 : 15
d. 7 : 13
e. 7 ; 2

52. Successive discounts of 20% and 12% are equivalent to a single discount of:

a. 16.0%
b. 29.6 %
c. 31.4%
d. 32.0%
e. 33.7%

53. If n is any negative number, which of the following must be positive?

a. n/2
b. 2n
c. n +2
d. n -2
e. 2 -n

54. Ahmad has containers of two different sizes. The total capacity of 16 containers of one size is x gallons,and the total capacity of 8 containers of the other size is also x gallons , and x> 0. In terms of x , what is the capacity, in gallons, of each of the larger containers?

a. 4x
b. 2x
c. x/2
d. x/8
e. x/16

55. A particular carmaker sells four models of cars , and each model comes with 5 options. How many different types of cars does the carmaker sell?

a. 15
b. 16
c. 17
d. 18
e. 20

56. In a class of 200 students , 40 percent are girls . 25 percent of the boys and 10 percent of the girls signed up for a tour to Cox's bazar . What percent of the class signed up for the tour?

a. 19%
b. 23%
c. 25%
d. 27%
e. 35%

57. If A + B + C =10 , A +B =7 and A- B = 5 , what is the value of c?

a. 1
b. 3
c. 6
d. 7
e. None of them

58. which of the following figures has the smallest perimeter of circumference?

a. a circle with a diameter of 2 feet
b. a square with a diagonal of 2 feet
c. a rectangle with sides of 6 inches and 4 feet
d. a pentagon with each side equal to 16 inches
e. a hexagon with each side equal to 14 inches

59. A train went 300 miles from City X to city Y at an average rate of 80 mph. At what speed did it travel on teh way back if its average speed for the whole trip was 100 mph?

a. 120 mph
b. 125 mph
c. 133 1/3 mph
d. 137 1/2 mph
e. 150 mph

60. what is the maximum number of 3 *3 squares that can be formed from the squares in the 6* 6 checker board to the right?

a. 4
b. 6
c. 12
d. 16
e. 24

61. In the formula e = hf . if e is doubled and f is halved , what happens to the value of h?

a. h remains tehe same
b. h is doubled
c. h is divided by 4
d. h is multiplied by 4
e. h is halved .

62. Two trains , X and Y, started simultaneously form opposite ends of a 100 mile route and traveled toward each other on parallel tracks. Train x , travelling at a constant rate, completed the 100 mile trip in 5 hours, Train Y, travelling at a constant rate , completed the 100 mile trip in 3 hours .How many miles had Train X traveled when it met Train Y?

a. 37. 5
b. 40
c. 60
d. 62. 5

63. If Arif saved more than Tk. 10 by purchasing a sweater at a 15% discount ,what is the smallest amount the original price of the sweater could be , to the nearest taka?

a. 45
b. 67
c. 75
d. 83

64. If 3x=2 and y4=3, then 3+yx+4=?

a. 3011
b. 109
c. 916
d. None of these

65. The sum o three integers is 40. The largest integer is 3 times the middle integer, and the smallest integer is 23 less than the largest integer. what is the product of the three integers?

a. 1104
b. 972
c. 672
d. 294

66. If 9t-8) is a factor t2 -kt -48 , then k =?

a. -6
b. -2
c. 2
d. 14

67. 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?

a. TK. 272
b. TK. 340
c. TK. 398
d. TK. 408

68. If positive integers x and y are not both odd, which of the following must be even?

a. xy
b. x + y
c. x - y
d. 2 ( x+ y) - 1

69. A rope 2-.6 meters long cut is into two pieces .If the length of one piece of rope is 2.8 meters shorter than the length of the other , what is the length , in meters, of the longer piece of rope?

a. 7.5
b. 11.7
c. 8.9
d. 10.3

70. For what value of x between -4 and 4, inclusive , is the value of x2 -10x + 16 the greatest?

a. -4
b. -2
d. 2

71. The maximum recommended pulse rate R, when exercising , for a person who is x years of age is given by the equation R = 176- 0.8 x. what is the age , in years , of a person whose maximum recommended pulse rate when exercising is 140?

a. 40
b. 45
c. 50
d. 55