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1. In a student dormitory there was enough food to feed 300 students for 15 days. Because of admission of some new students , the food only lasted for 10 days. How many new students were admitted to the dormitory ?

a. 100

b. 125

c. 150

d. 175

2. In an election a candidate was elected by securing 55% of the votes cast. If the elected candidate got 1,000 votes more than his only rival, how many votes were cast?

a. 5,500

b. 7,250

c. 10,000

d. 12,500

e. 15,000

3. A 19 liter mixture consists by volume of 1 part juice to 18 parts water. If x liters of juice and y liters of water are added to this mixture to make a 54 liter mixture consisting by volume of 1 part juice to 2 parts water, then what is the value of x?

a. 36

b. 35

c. 27

d. 18

e. 17

4. If 2x+y> 10, then 4x+3y must be

a. greater than 20

b. Smaller than 22

c. Equal to 21

d. Equal to 21

e. None of these

5. If n is an odd integer, which of the following must also be odd?

a. n-1

b. n+1

c. 2n

d. 3n+1

e. 4n+1

6. If x= 2 and $x y^{2} = 8,$ what is the value of x?

a. 1/2

b. 2

c. 4

d. 8

e. 16

7. For which sports is the Wembeldon competition held every year?

a. Badminton

b. Basketball

c. Volleyball

d. Tennis

e. Cricket

8. A jar contains 13 red marbles and 7 green marbles. The probability that a marble selected from the jar at random will be green is___

a. 0.5

b. 1.0

c. 0.35

d. 0.65

e. All of these

9. What formula is used to determine the area of a sphere?

a.

{πr}^{2} 1

b.

2 {πr}^{2} 1

c.

\frac{3}{4} {πr}^{3}

d.

4 {πr}^{2}

e. None of these

10. What is the minimum diameter of a standard cricket ball?

a. 6.22 mm

b. 7.13 mm

c. 7.29 mm

d. 6.29 cm

e. 7.13 cm

11. In the figure below, a square is inscribed in a circle with diameter d. What is the sum of the areas of the shaded regions in terms of d?

a.

d^{2} (\frac{π}{4} - \frac{1}{2})

b.

d^{2} (\frac{π}{4} - \frac{1}{4})

c.

d^{2} (\frac{π}{4} - \frac{1}{2})

d.

d^{2} (π - 2)

e.

d^{2} (π - 1)

12. In a student dormitory there was enough food to feed 300 students for 15 days. Because of admission of some new students, the food only lasted for 10 days. How many new students were admitted to the dormitory?

a. 100

b. 125

c. 150

d. 175

e. 200

13. In a student dormitory there was enough food to feed 300 students for 15 days, Became of admission of some new students the food only lasted for 10 days . How many new students are admitted to the dormitory?

a. 100

b. 125

c. 150

d. 175

e. 200

14.

Refer to the above figure (Not drawn to scale), AB=7 BC= 12, CD= 5, DE= 14 , EF=8 FG=11 , BC, DE and FG are parallel with each other and are perpendicular to AB, CD and EF. What is the value of AG?

a.

15

b.

20

c.

30

d.

25

15.

In the following figure, two equal circles are cut out of a rectangle of card of dimensions 16 by 8. The circle have the maximum diameter possible. What is the approximate area of the paper remaining after the circles have been cut out?

a.

104

b.

54

c.

27

d.

13

16.

If <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mi>x</mi></msup><mo>=</mo><mi>b</mi><mo>,</mo><msup><mi>b</mi><mi>y</mi></msup><mo>=</mo><mi>c</mi><mo>,</mo><mo> </mo><mi>a</mi><mi>n</mi><mi>d</mi><mo> </mo><msup><mi>c</mi><mi>z</mi></msup><mo>=</mo><mi>a</mi><mo>,</mo><mi>t</mi><mi>h</mi><mi>e</mi><mi>n</mi><mo> </mo><mi>x</mi><mi>y</mi><mi>z</mi><mo>=</mo><mo>?</mo></math>

a.

2

b.

3

c.

1

d. 4

17.

which value of x satisfies the inequality <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mrow><mn>3</mn><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfrac><mo>≥</mo><mfrac><mn>1</mn><mn>5</mn></mfrac><mo>?</mo></math>

a.

x<2

b.

x≥2

c.

x≤2

d.

x>2

18.

a.

b.

c.

d.

19. which one is true for the mathematical expression $\frac{2^{n} + 2^{n - 1}}{2^{n + 1} - 2^{n}} ?$

a.

\frac{3}{2}

b.

\frac{2}{3}

c.

1

d.

2^{30}

20. If $3^{x} - 3^{x - 1} = 18, t h e v a l u e o f x^{x} i s :$

a. 3

b. 27

c. 8

d. 216

21. How many degrees are included between the hands of a clock at 4.00?

a. 50 degree

b. 45 degree

c. 75 degree

d. 120 degree

22. What is the angle that is half of its own complement?

a. 30 degree

b. 45 degree

c. 60 degree

d. 120 degree

23. If the difference between the circumference and diameter of a circle is 60cm, then the redius of the circle is :

a. 7 cm

b. 9 cm

c. 10 cm

d. 14 cm

24. If a and b are positive real numbers then (a degree -3b degree)5=?

b. 1

c. -32

d. -1

25. If (x+2):3=(x+5): 4, what is the value of x?

a. 7

b. 6

c. 5

d. 4

26. The average daily wage of 10 workers is Tk. 400. If the lowest wage is Tk. 300 what is the possible maximum wage in Tk?

a. 1300

b. 800

c. 900

d. 1000

27. Two numbers are in the ratio 5:4 and their difference is 10. What is the largest number?

a. 40

b. 30

c. 50

d. 45

28. A train traveling at 100 km per hour overtakes a motorbike traveling at a speed of 65 km per hour in 40 seconds. What is the length of the train in meters?

a. 388.89 meters

b. 450 meters

c. 500 meters

d. 550 meters

29. How many 1-inch square tiles would it take to cover the floor of a closet dial has dimensions 5 feet by 4 feet?

a. 240

b. 1440

c. 2160

d. 2880

30. If a merchant offers a discount of 30% on the list price, then he/she makes a loss of 16% what % profit or loss will the merchant make if he/she sells at a discount of 10% of the list price?

a. 6.25% loss

b. 6% profit

c. 0.8% loss

d. 8% profit

31. Four persons can complete a job in 8 days. After four days two persons have left the work. How many days would it take for the remaining persons to complete the work?

a. 10

b. 6

c. 4

d. 8

32. If 75% students of a class answered the first question in a test correctly, 55% answered the second question correctly and 20% answered neither of the questions correctly, what percent answered both the questions correctly?

a. 50

b. 34

c. 44

d. 14

33. Two friend M and N have 40% and 60% shares in a business. After some time a third friend joined the business by investing Tk. 5 lac and acquired 20% shares in the business. What is the share of M in the business now?

a. 20%

b. 24%

c. 28%

d. 32%

34. 27 22 50 13 12 26 9 2 ?

a. 12

b. 39

c. 18

d. 24

35. A square water tank , 2.5 meter deep, can hold 80000 liters of water. Find the length of each side of the tank in meter?

a. 5.2

b. 4.5

c.

5 \sqrt{2}

d.

4 \sqrt{2}

36. CIRCLE is related to RICELC in the same way SQUARE is related to -------.

a. UQSERA

b. QUSERA

c. UQSAER

d. QSUERA

37. If ROPE is coded as 6821 and CHAIR is coded as 73456 then what will be the code for CRAPE?

a. 73456

b. 76421

c. 77246

d. 77123

38. If the letter M was removed from the alphabet what would the middle letter of the alphabet be?

a. O

b. N

c. P

d. Q

39. If A is to the south of B and C is to the east of B, in what direction is A with respect to C?

a. North-East

b. North-West

c. South-East

d. South-West

40. A wholesaler sells goods to a retailer at a profit of 20%. The retailer sells to the customer who pays 80% more than the cost of the wholesaler. What is the retailer's profit?

a. 30%

b. 40%

c. 50%

d. 60%

41. A club collected exactly Tk. 599 from its members. If each member contributed at least Tk 12, what is the greatest number of members the could have?

a. 47

b. 49

c. 51

d. None of these

42. The compound interest on Tk, 10,000 for 4 years at 5% per annum will be approximately ----

a. 2025

b. 2150

c. 2155

d. 2165

43. A woman was 30 years old when her daughter was born. Her age is now 6 years more than three times her dauthter's age. How old the duathter be in 5 years?

a. 15

b. 17

c. 19

d. None of these

44. A class has 30 student. The class needs to select 3 representatives. In how many ways can this be done?

a. 400

b. 2050

c. 3040

d. 4060

45. Find the smallest number of oranges that can be distributed completely and equally among 4, 6, 10 or 18 children?

a. 16

b. 60

c. 180

d. 240

46. If 1/2+2/3+3/y=23/12; then y=?

a. 2

b. 3

c. 4

d. 9

47. What are the next numbers in the series? 2,9,6,7,18,5----,----.

a. 3, 54

b. 54, 9

c. 27, 3

d. 54, 3

48. If the sum of 3 consecutive integers is 210, then the sum of the two smaller integers is :

a. 141

b. 139

c. 110

d. None of these

49. Which of the following numbers can be placed at the sing of interrogation? 6 8 7 36 64 49 24 48 ?

a. 35

b. 30

c. 45

d. 40

50. If the letter M was removed from the alphabet, what would the middle letter of the alphabet be?

a. O

b. N

c. P

d. Q

51. If the word 'NATION' is writen as OCWMTT, how 'COUNTR' would be written in that code?

a. DQXRYX

b. DPXRYX

c. DCXRYX

d. None of these

52.

A certain population of bacteria doubles every 10 minutes. If the number of bacteria in the population initially was <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mn>10</mn><mn>4</mn></msup><mo>,</mo><mi>w</mi><mi>h</mi><mi>a</mi><mi>t</mi><mo> </mo><mi>w</mi><mi>a</mi><mi>s</mi><mo> </mo><mi>t</mi><mi>h</mi><mi>e</mi><mo> </mo><mi>n</mi><mi>u</mi><mi>m</mi><mi>b</mi><mi>e</mi><mi>r</mi><mo> </mo><mi>o</mi><mi>f</mi><mo> </mo><mi>b</mi><mi>a</mi><mi>c</mi><mi>t</mi><mi>e</mi><mi>r</mi><mi>i</mi><mi>a</mi><mo> </mo><mi>i</mi><mi>n</mi><mo> </mo><mi>t</mi><mi>h</mi><mi>e</mi><mo> </mo><mi>p</mi><mi>o</mi><mi>p</mi><mi>u</mi><mi>l</mi><mi>a</mi><mi>t</mi><mi>i</mi><mi>o</mi><mi>n</mi><mo> </mo><mn>1</mn><mo> </mo><mi>h</mi><mi>o</mi><mi>u</mi><mi>r</mi><mo> </mo><mi>l</mi><mi>a</mi><mi>t</mi><mi>e</mi><mi>r</mi><mo>?</mo></math>

a.

b.

c.

d.

53. If p denotes + , Q dentes -, R denotes ÷, and S denotes X, then what is the value of 18s36R12Q6p7?

a. 115

b. 55

c. 25

d. None of them

54. If Z is placed in compartment 3, immediately to the right of x , which of the following products must be placed in compartment 5?

a. U

b. V

c. W

d. Y

55. If U is placed in compartment 5, which of the following products must be placed in compartment 6?

a. V

b. W

c. X

d. Y

56. If X is placed in compartment 3, W must be placed in compartment __

a. 1

b. 2

c. 4

d. 5

57. Which of the following products cannot be placed in compartment 1?

a. U

b. V

c. W

d. X

58. If a square region has area n, what is the length of the diagonal of the square in terms of n?

a.

\sqrt{2 n}

b.

\sqrt{n}

c.

2 \sqrt{n}

d.

2 n

59. A dishonest trader mixes 2kg of vegetable ghee costing Tk. 45 a kg with 3 kg of standard ghee costing Tk. 70 per kg. He sells the mixed ghee at Tk. 65 per kg. What is his percentage of profit?

a. 25%

b. 16.67%

c. 8.33%

d. 6%

60. What is the remainder when 324 is divided by 5?

b. 1

c. 2

d. 3

61. If xy>0 and yz<0, which of the following must be negative?

a. xyz

b. xyz2

c. zy2z

d. xy2z2

62. The arithmetic mean of the list of numbers given below is 4. If K and m are integers and k#m, what is the median of the list ? [Given list -3, k, 2, 8, m, 3]

a. 2

b. 2.5

c. 3

d. None of these

63. Last year Salem received 26 paychecks. Each of his first 6 paychecks was Tk.750; each of his remaining paychecks was Tk. 30 more than each of his first 6 paychecks. To the nearest taka, what was the average amount of his paychecks for the year?

a. Tk. 752

b. Tk. 755

c. Tk. 765

d. None of these

64. Company K'a earnings were Tk. 12 million last year. If this year's earnings are projected to be 150% greater than last year's earnings, what are Company K's projected earnings this year?

a. Tk. 13.5 million

b. Tk. 18 million

c. Tk. 27 million

d. none of these

65. In the correctly worked addition problem shown, where the sum of the two-digit positive integers AB and BA is the three-digit integer AAC, and A, B, and C are different digits, what is the units digit of the integer AAC?

a. 9

b. 6

d. 3

66. The population of a bacteria culture doubles every 2 minutes. Approximately how many minutes with it take for the population to grow from 1,000 to 500,000 bacteria?

a. 10

b. 12

c. 14

d. 18