1. A, B, and C enter into a partnership in the ratio 7/2: 4/3: 6/5 .After 4 Months , A increase his share by 50% . If the total profit at the end at one year is Tk. 21,600 , then what is B's share in the profit?

a. Tk.400
b. `Tk. 450
c. `Tk. 420
d. Tk. 4502
e. Tk.4000

2. If b equals 20% of b, then which one of the following equals 30% of c?

a. 0.0006% of a
b. 0.006% of a
c. 0.06% of a
d. 0.6% of a
e. 6% of a

3. which of the following cannot be expressed as the sum of two or more consecutive positive integers?

a. 17
b. 22
c. 24
d. 26
e. 32

4. Shajib takes 3 minutes to inspect a car, and Rajib takes 4 minutes to inspect a car. If they both start inspecting different cars at 8:30 AM, what would be the ratio of the number of cars inspected by Shajib and Rajib by 8 : 54 Am of the same day?

a. 1 : 3
b. 1 : 4
c. 3 : 4
d. 4 : 3
e. 7 : 4

5. Shelly gave three-fifths of the amount of money she had to Jhorna . Shelly now has Tk. 200. How much did she give to Jhorna?

a. Tk. 80
b. Tk. 120
c. Tk. 200
d. Tk. 300
e. Tk. 500

6. A train 125 m long passes a man , running at 5 km/hr in the same direction in which the train is going in 10 seconds . The speed of the train is:

a. 45 km /hr
b. 50 km /hr
c. 54 km /hr
d. 55 km/hr
e. 60 km / hr

7. In how many ways can the letters of the word "LEADER" be arranged?

a. 72
b. 144
c. 360
d. 720
e. 240

8. If the angles of a triangle are in the ratio 1: 2: 2 triangle --

a. is isosceles
b. is obtuse
c. has one angle greater than 80 degree
d. is equilateral
e. is a right triangle

9. when a truck travels at 60 miles per hour, it uses 30 percent more gasoline to travel andy distance than it does when it travels at 50 miles per hour. The truck can travel 20 miles on a gallon of gas if it is travelling at 50 miles per hour. The truck has only 10 gallons of gas and is 160 miles from its destination. It takes 20 minutes for the truck to stop for gas . How long will it take the truck to reach its final destination if it is driven at 60 miles per hour?

a. 160 minutes
b. 180 minutes
c. 190 minutes
d. 192 minutes
e. 195 minutes

10. If n3 is odd, which of the following statements are true?

a. I only
b. II only
c. III only
d. I and II only
e. I and III only

11. For how many positive numbers a, it becomes true that a * a * a = a + a + a ?

b. 1
c. 2
d. 3
e. more than 3

12.

If 20% growth of the total disbusement of loans in the precedding year was the minimum target, how many banks did not achieve the target 2011?

a.


4
 

b.

4
 

c.

3
 

d.

None of these

13.

In which year the disbursement of loans was the least compared to the average disbursement over the years?

a.


2010
 

b.

2011
 

c.

2012
 

d.

2013

14.

In which of the following banks did disbursement of loan continuously increase over the years?

 

a.

Chitra
 

b.

Surma
 

c.

kirtankhola
 

d.

Titas

15.

An overall picture of the amount of loan disbursement of Five banks for the last five years is as follow: (Amount in crores of Taka)In which bank disbursement of loans was more than 25 percent of all in 2014

a.

Chtra
 

b.

Halda
 

c.

Kirtankhola
 

d.

Surma

16.

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

a.

104
 

b.

54
 

c.

27
 

d.

13

17. If 20% growth of the total disbursement of loans in the preceding year was the minimum target, how banks did not achieve the target 2011?

a. 2
b. 4
c. 3
d. None of these

18. How many degrees are included between the hands of a clock at 4:00?

a. 50°
b. 60°
c. 75°
d. 120°

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

a. 30°
b. 45 °
c. 60°
d. 150°

20. If the difference between the circumference and of a circle is 60 cm, the radius of the circle is:

a. 7 cm
b. 9 cm
c. 10 cm
d. 14 cm

21. If ax=b,by=c and cz=a then z=?

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

22. Find the L.C.M of (1-a2),1-a,(a-1)2

a. 1+a
b. 1-a
c. a-1
d. (1-a2)

23. olve the question : 3z-4=2z+5

a. -23
b. 20
c. 23

24. Which one is true for the mathematical expression 22+2n-12n+1-2n=?

a. 3/2
b. 2/3
c. 1
d. 2n

25. If 3x-3x-1=18 the value of  xx is:

a. 3
b. 27
c. 8
d. 216

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. 700
b. 8000
c. 9000
d. 1300

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

a. 40
b. 30
c. 50
d. 45

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

a. 400 metrs
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 that has dimensions 5 feet by 4 feet?

a. 20
b. 240
c. 2160
d. 2880

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

a. 6.25% profit
b. 6% profit
c. 0.8% profit
d. 8% profit

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

a. 10
b. 6
c. 4
d. 8

32.

In Cyclist leaves home at 10.00 hours to cycle to school 7 km awat. he cycle at 10 km/h he arrived he has a puncture, then he has to push his bicycle the rest of the way at 3 km/h

a.


2 km
 

b.

3 km
 

c. 4 km
d.

1 km

33.

A tree of heigth 4 m casts a shadow of length 6.5 m. What would be the height of house casting a shadow 26 m long?

a.


50
 

b.

80
 

c.

100
 

d.

125

34.

Find the missing character ?

a.


V
 

b.

X
 

c.

W
 

d.

Y

35.

A women says, "If you reverge my own age" the figure represents my age. He is of course, senior to me and the different between our ages is one eleventh of our sum. " What is the age of womend"?

a.


23 years
 

b.

34 years
 

c.

45 years
 

d.

54 years

36.

It takes bela 1 hours to do job that Hena can do in 40 minutes, One day worked together for 12 minitues and then Bela Left. If hena had finished the job. How long did it take her to do it?

a.


2 km
 

b.

3 km
 

c.

4 km
 

d.

1 km

37.

In achese touranment each of six players will play every other player exactly once . How many matches will be played during the tournament?

a.


12
 

b.

15
 

c.

30
 

d.

36

38.

The speed of a boat is 10 km per hour (kph) and the speed of the currect is 5 kph. The boat traelled 5 hours in a favour of the current and then returned to the starting point. What was the time to return?

a.


10 hours
 

b.

15 hours
 

c.

7.5 hours
 

d.

12.5 hours

39.

Zerin has started a sholeseale jewelry making busin. She make 36 bracelets a day and sells them to local shops for TK. 180 a dozen. How much does Zerin make per week if she works 5 days a week ?

a.


Tk. 2,200
 

b.

Tk. 540
 

c.

Tk. 2,700
 

d.

Tk. 3,780

40.

The selling price of 15 items equals the cost of 20 items. What is the percentage profit earned by the seller?

a.

33.3%
 

b.

37.3%
 

c.

45.3%
 

d.

48.3%

41.

A person makes a profit of 10% on 25% of the quantity and a loss of 20% on the rest what is the percentage gain or loss on the whole?

a.

10%
 

b.

12.5%
 

c.

-12%
 

d.

25%

42.

How many times does the digit 4 come to write numbers from 10 to 100?

a.


15
 

b.

19
 

c.

21
 

d.

23

43.

If n divided by 7 has a remineder of 2 , what is the remainder when 3 times n is divided by 7?

a.

4
 

b.

5
 

c.

6
 

d.

7

44.

A circular logo is enlarged to fit the lid of a jar. The new diameter is 50 percent large than the original. by what per

a.

50
 

b.

80
 

c.

100
 

d.

125

45.

A circle has an area of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>45</mn><mi>c</mi><msup><mi>m</mi><mn>2</mn></msup><mo>.</mo></math>What is the radious of the circle?

a.

3.78 cm
 

b.

5.43 cm
 

c.

3.21 cm
 

d.

4.35 cm

46.

If one root the equation  <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>3</mn><mi>x</mi><mo>-</mo><mi>k</mi><mo>=</mo><mn>0</mn></math> is 2, what is the value of k ?

a.

10
 

b.

12
 

c.

14
 

d.

16

47.

<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>I</mi><mi>f</mi><mo>&#xA0;</mo><msqrt><mi>m</mi><mo>&#xA0;</mo></msqrt><mo>&#xA0;</mo><mo>+</mo><mo>&#xA0;</mo><msqrt><mi>m</mi><mo>-</mo><mn>5</mn></msqrt><mo>&#xA0;</mo><mo>=</mo><mn>5</mn><mo>,</mo></math> what is the value of m ?

a.


8
 

b.

7
 

c.

6
 

d.

9

48.

Which one of the following is the least value of <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>2</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><msup><mi>x</mi><mn>2</mn></msup></mrow><mrow><mn>6</mn><mi>x</mi></mrow></mfrac><mo>?</mo></math>

a.

1/3

b.

<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>2</mn><mo>+</mo><mi>x</mi></mrow><mn>6</mn></mfrac></math>

c.

<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&#xA0;</mo><mfrac><mi>x</mi><mn>6</mn></mfrac></math>

d.

<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&#xA0;</mo><mfrac><mrow><mn>1</mn><mo>+</mo><mi>x</mi></mrow><mn>3</mn></mfrac></math>

49.

If x and y are non-negative simplify <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mrow><mo>(</mo><mn>81</mn><msup><mi>x</mi><mn>17</mn></msup><msup><mi>y</mi><mn>18</mn></msup><mo>)</mo></mrow><mfrac><mn>1</mn><mn>4</mn></mfrac></msup></math> 

a.

<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>81</mn><msup><mi>x</mi><mfrac><mn>17</mn><mn>4</mn></mfrac></msup><msup><mi>y</mi><mfrac><mn>9</mn><mn>2</mn></mfrac></msup></math>

b.

<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>9</mn><msup><mi>x</mi><mfrac><mn>17</mn><mn>4</mn></mfrac></msup><msup><mi>y</mi><mfrac><mn>7</mn><mn>2</mn></mfrac></msup></math>

c.

<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><msup><mi>x</mi><mfrac><mn>15</mn><mn>4</mn></mfrac></msup><msup><mi>y</mi><mfrac><mn>9</mn><mn>2</mn></mfrac></msup></math>

d.

<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><msup><mi>x</mi><mfrac><mn>17</mn><mn>4</mn></mfrac></msup><msup><mi>y</mi><mfrac><mn>9</mn><mn>2</mn></mfrac></msup></math>

50. 230 +230 +230+230=?

a. 8120
b.  830
c.  232
d.  230

51. If a + 2b = 6 and ab = 4 what is the value of 2a+1b?

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

52. etermine the value of (5-2)2.

a. -50
b. -20
c. 1/625
d. 2/25

53. How many times in a day, are hands of a clock in straight line opposite in direction?

a. 11
b. 22
c. 24
d. 48

54. . The decimal 0.1 is how many times greater than the decimal (0.001)3?

a. 10
b. 102
c.  103
d.  108

55. All birds have beaks , and sparrows are birds, so all sparrows must have beaks.

a. Generalization
b. Induction
c. Special training
d. Syllogism

56. X is west of Y and Y is north of Z. m is south of X. Which directin is M to Z?

a. North
b. West
c. South
d. East

57. If w not 0 and w =2x =   22   what is the value of w - x in terms of y?

a. 2y
b. 2yy
c.   2y
d.   22y

58. If b = a +c and b = 3 , then ab + bc =?

a. 3  
b. 3
c.   33
d. 9

59. A piece of work can be done by 70 labors in 30 days. How many labours should work daily to complete the work in 12 days?

a. 142
b. 150
c. 175
d. 182

60. What is the least number by which 2450 must be multiplied in order to get a perfect square?

a. 2
b. 3
c. 4
d. 8

61. What is the difference between the sixth and the fifth terms of the sequence 2,4,7---- whose nth term is n+2n-1?

a. 3
b. 6
c. 16
d. 17

62. Of 30 applicans for a job, 14 had at least 4 years experience, 18 had degrees, and 3 had less than 4 years' experience and did not have a degree. How many of the applicants had at least 4 years experience and a degree?

a. 5
b. 7
c. 9
d. 13

63. If a square mirror has a 20-inch diagonal, what is the approxirnate perimeter of the mirror, in inhes?

a. 47
b. 51
c. 57
d. 60

64. If the difference between the circumference and diameter of a circle is 60 cm then the radius of the circle is____

a. 7cm
b. 9cm
c. 10cm
d. 14cm

65. If a+2b=6 and ab =4, What is 2a+1b?

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

66. (2x-1)2÷x-5 is equal to ---

a. 2x2
b.  4x
c.  4x2 
d. 4x3

67. P=52 then the value of   P2 is-

a. 25+102
b. 20+52
c. 27+102
d. 27

68. Find the value of n if 27n-13=243

a. 2/3
b. 3
c. 4
d. 5

69. In a class of 78 students 41 are taking 22 are taking German of the students taking french or German, 9 are taking courses. how many student are not cancelled is either course?

a. 6/5
b. 35
c. 24
d. 33

70. A man spent 1/2 of his money and then lost 1/4 of the reminder. He was left with Tk. 3,600. How much did he start with?

a. Tk. 7200
b. Tk. 8800
c. Tk. 9600
d. Tk. 10400

71. The simple interest on a of money will be tk. 600 after 10 years. if the principle is treble after 5 years, what will be the total interest at the end the tenth year?

a. Tk. 600
b. Tk. 1200
c. Tk.900
d. Tk. 1500

72. 35% of Nabil's is equal to 25% of Saila's income. The ratio their income is

a. 5:7
b. 4:7
c. 7:3
d. 4:3

73. If the salary of an emplyees is reduced by 10 percent for has late attendance and them increased by 10 percent on a pardon, how much does he lose?

a. 2%
b. 1%
c. 1/2%
d. 9%

74. A gas tank is 1/5 th full and requires 32 gallons to make it 3/7 full. What is the capacity of the tank?

a. 1220 gallons
b. 140 gallons
c. 135 gallons
d. 145 gallons

75. A husband and wife have six married sons. Each of them has four children. The total number in the family is_____

a. 34
b. 32
c. 38
d. 36

76. P works twice as fast Q. If Q can complex a work in 12 days independently, the number of days in which P and Q can together finish the works is_____

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

77. In a row trees is 7 th from the left and 14% from the right end. how many trees are there in the row?

a. 19
b. 18
c. 21
d. 20

78. As the price of mango has reduce by 20%, it is now possible to by 2 more mangoes Tk. What is the current price of 50 mangoes?

a. Tk 50
b. Tk. 40
c. Tk. 30
d. Tk. 60

79. A dishonest shopkeeper professes to sell ghee at his cost price. But he these a defective weigth machine which reads of 950g for a kilogram. The gain of shopkeeper in percentage is

a. 5.26
b. 4
c. 3
d. 4.5

80. The average age of 12 children is 15 years. If another child comes the averages age comes to 13. What is the age new child?

a. 13.85 years
b. 7 years
c. 9 years
d. 5 years

81. A train 150 meter long and running at a speed of 60 km per hour takes 30 seconds to cross a bridge. What is a length of the bridge?

a. 450 meter
b. 500 meter
c. 350 meter
d. 650 meter

82. A will will 8m long, and 22.5 cm thick is made of bricks, each measuring 25 cm X 11.5 cm X 6cm. The numbe of bricks will be required to surround the plot?

a. 21
b. 22
c. 23
d. 24

83. A triangular plot with sides of 25 feet and 55 feet is to surrounded by a fence built on pillars set 5 feet apart. How many pillars will be required to surround the plot?

a. 21
b. 22
c. 23
d. 24