1. - ৩১ - ০.৯৬২৩ = ?

2. কোন সংখ্যার ৩/৭ অংশ ৪৮ এর সমান ?

3. ২টি সংখ্যার যোগফল ৮। যদি সংখ্যাগুলো ৩ঃ১ অনুপাতে থাকে , তবে সংখ্যাগুলোর গুণফল হবে-

4. একটি বর্গক্ষেত্রের প্রতিটি বাহু ১০% বৃদ্ধি করলে ক্ষেত্রফল কত বৃদ্ধি পাবে ?

5. ৬, ৮, ১০ এর গাণিতিক গড় , ৭, ৯, এবং নিম্নলিখিত অন্য কোন সংখ্যার গাণিতিক গড়ের সমান ?

6. শতকরা বার্ষিক কত হার সুদে কোন আসল ৫ বছরে সুদে আসলে দ্বিগুণ হবে ?

7. ১২ জন শ্রমিক ৩ দিনে ৭২০ টাকা আয় করলে, ৯ জন শ্রমিক সমপরিমাণ টাকা আয় করবে -

8. একটি সংখ্যার তিনগুণের সাথে দ্বিগুণ যোগ করলে ৯০ হয় । সংখ্যাটি কত ?

9. ৪৩ থেকে ৬০ এর মধ্যে মৌলিক সংখ্যা কয়টি ?

10. ০১ * ০.০০৯৫ = ?

11. In the figure below, the area of square PQRS is 64. What is the area of triangle QRT?

12. If a square is inscribed in a circle of radius r as shown below, then the area of the square region is______

13. If the cost of a long-distance phone call is C taka for the first minute and (2/3) C taka for each additional minute, what is the cost, in taka, of a 10 minute call of this type?

14. ${\left(2uv\right)}^2+(u^2-v^2)=?$

15. If 5/8=3/x and y=1/5, what is the value of (x+6y)?

16. Which of the following inequalities is true ?

17. Mr. Karim purchased TK. 600 worth of traveler's cheques. If each cheque was worth either TK. 20 or TK. 50, which of the following cannot be the number of TK. 20 cheques purchased ?

18. If a person can save TK.380 in 5 weeks, in how many weeks, at this same rate, can the person save 2.6 times amount ?

19. $x^2-y^2$

20. If 3x +9 =15, then x +2 =?

21. If the average of 2x and 4x is 12, then x is equal to

22. If A>B and C<0, which of the following is correct?

23. The price per unit of a product increases by 25% . The actual Taka increase in the unit price is Tk.1.25. What was the unit price in Taka before the price increase?

24. Volume of a water tank is 192 cft. Its length ,breadth, and height are in proportions 4: 3:2 . --- what is the area of its base in square feet?

25. How many prime numbers are there between 45 and 72?

26. How much fence will be needed to enclose a rectangular field that is 600 cm wide and 3000 cm long?

27. Mr. X lost a wallet containing Tk. 120 . Incidentally, he had only notes of Tk. 2 and Tk. 5 denominations in the wallet . If the total number of notes was 30 , how many Tk. 5 denomination notes did he have?

28. For (a+b) =7 and ab = 12, (a-b) =?

29. A train took 6 minutes to travel between two stations 4 miles apart. What was the speed of the train in miles per hour?

30. The average of three numbers is 24. . If two of the numbers are 21 and 23, the third number is --

31. If 1/y= 31/2 , then 1/y+2 =?

32. In an office , the ratio of female to male employees is 1 : 4 what percentage of the employees are male ?

33. 0.03 times of 0.05 is -

34. Of the following which is the greatest ?

35. For a 20% decrease in the radius of a circle, what will be the percentage reduction in its area?

36. Sum of two numbers is 15 and their difference is 13. Identify the smaller number.

37. At a simple interest rate of 10% per year , how many years will it take for a principle amount of Tk. 500 to earn an interest amount of Tk. 100. ?

38. A book sells for Tk. 65. This price gives the seller a profit of 30% on his cost. what would be the new selling price if he cuts his profit 10% of the cost?

39. What will come in place of question mark? $\sqrt{\frac{32.4}{?}} =2$

40. $\sqrt{0.00004761} equals$

41. $\sqrt{2\sqrt{2\sqrt{2\sqrt{2\sqrt{2}}}}}=?$

42. What will come in place of question mark?$\sqrt{\frac{32.4}{?}} =2$

43. How many times do the hands of a clock coincide in a day?

44. The highest common factor of 0 and 6 is ---

45. If 60% of A = 3/4 of B, then A : B is -----

46. A train moves with a speed of 108 kmph. Its speed in metres per second is ----

47. A takes 5 days more than B to do a certain job and 9 days more than C. A and B together can do the job in the same time as C. How many days A would take to do it?

48. In 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older than B, the present age of B is ----

49. 3.5 can be expressed in terms of percentage as ----

50. What is the place value of 5 in 3254710?

51. 853+? /17=1000

52. A number when multiplied by 13 is increased by 180. The number is ----

53. If an article is sold at 200 percent profit, then the ratio of its cost price to selling will be ----

54. A and B stats a business jointly. A invests Tk. 16000 for 8 months and B remains in the business for 4 months. Out of the total profit, B claims 2/7 of the profit. How much money was contributed by B?

55. The perimeter of a rectangle is 60 metres. If its length is twice its breadth then its area is --

56. A boat goes 8 km in one hour along the stream and 2 km in one hour against the stream. The speed in km/hr of the stream is ----

57. If 6 persons working 8 hours a day earn a day earn Tk. 8400 per week,then 9 persons working 6 hours a day will earn per week----

58. 0.5*0.5*+0.5+5 is equal to ----

59. Find the average of all the numbers between 6 and 34 which are divisible by 5.

60. A, B and C are three partners. They altogether invested Tk. 14,000 in business. At the end of the year, A got Tk. 337.50, B Tk. 1125 and C Tk. 637.50 as profit. The difference between the investments of B and A was -----

61. In 4 years, Tk. 6000 amounts to Tk. 8000. In what time at the same rate will Tk. 525 amount to Tk. 700?

62. Complete the following series. 9,11,15,23,39,?

63. The speeds of three cars are in the ratio 2 : 3 : 4. The ratio of the times taken by these cars to travel the same distance is ----

64. 85% of a number is added to 24, the result is the same number. Find the number?

65. Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?

66. A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?

67. If the salary of an employee is reduced by 10 percent for his late attendance and then increased by 10 percent on a pardon, how much does he loss?

68. A room 8 m long, 6 m high and 22.5 cm thick is made up of bricks, each measuring 25 cm × 11.25 cm × 6 cm. The number of bricks required is.

69. Lamia owns a hairdressing salon. She borrows Tk. 2500 from a bank to improvements to her beauty salon. She is charged 4.5% per year compound interest. She pays the money back after 3 years. Calculate the total amount Lamia must pay to the bank.

70. A Shopkeeper buys 100 mangoes at Tk. 12 each. He sells 60 mangoes at Tk. 17.40 each and x mangoes at Tk. 11.31 each. The shopkeeper makes a profit of at least 10%. Find the least possible value of x.

71. A Triangle has a perimeter 13. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be length of the other side?

72. A man spent ½ of his money and then lost ¼ of the remainder. He was left with Tk. 3,600. How much did he start with?

73. A solid cube of side 6 is first painted pink and then cut into smaller cubes of side 2. How many of the smaller cubes have paint on exactly 2 sides?

74. If one of the roots of the quadratic equation $x^2+mx+24=0$ is 1.5, then what is the value of m?

75. The average of several exam scores is 80. One make-up exam was given. Included with the other scores, the new average was 84. If the score on the make up exam was 92, how many total exams were given?

76. A delivery cart went from Candle ford to Lark Rise and back at an average speed of 2/3 miles per hour. If the distance from Candle ford to Lark Rise is 1 mile, and the trip back took half as much time as the trip there, what was the average speed of the delivery cart on the way to Lark Rise?

77. In the coordinate plane, line m passes through the origin and has a slope of 3. If points (6, y) and (x, 12) are on line m, then y-X = ?

78. A woman says, "if you revise my own age, the figure represents my husband's age. He is, of course, senior to me and the difference between our ages is one eleventh of our sum. "What is the age of the woman?

79. When the diameter of a circle is tripled, the area of the circle will be increased by how many times?

80. TK 7,500 is divided in the ratio of 1 : 2 : 3 : 4 : 5. Find the difference between the greatest and smallest shares?

81. A collection of books went on sale and 2/3 of them was sold for Tk 2.30 each. If none of the 36 remaining books were sold, what was the total amount received for the books that were sold?

82. Palash drives from City A to B at 40 km per hour and returns over the same road at 30 km per hour and spends 8 hours away from home including a one hour stop for lunch. What is the distance (in km) between City A and City B?

83. In a city, 40% of the people are illiterate and 60% are poor. Among the rich, 10% are illiterate. What percent of the poor population is illiterate?

84. What is the greatest common factor of 24 and 64?

85. What is the next term in the sequence 4,9,6,11,8,13......?

86. If w+x=-4 , x+y=25 and y+w=15, the the average of w, x,y is:

87. If two angles are said to be complementary angles and one angle is 52 degrees, then the other angle is:

88. A glass when full of milk weight one kg. When half full, it weights 3/4 kg, . What is the weight (in kg) of the empty glass?

89. 3 pums, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?

90. 2/0=?

91. A cricket team has won 40 games out of 60 played . It has 32 more games to play. How many of these must the team win to make it record 70% win for the season?

92. If a+b+c=12, a+b=4, and a+c=7 what is the value of a ?

93. What is the slope of a line containing the points (1,13) and (-3,6)?

94. The different between two numbers is 5 and the different between their squares is 65. What is the larger number?

95. A student multiplied a number by 3/5 instead of 5/3. What is the percentage error in the calculation.

96. In a group of 15,7 have studied Latin, 8 have studied Greek and 3 have not studied either. How many of these studied both Latin and Greek?

97. A class had 30 students. The class needs to select 3 represntatives. In how many ways can this be done?

98. The length of a rectangular room is double of its breath. If the area is 512 square inches, what is the perimeter (in feet)?

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

100. A rectangular field will be fenced on three sides leaving a side of 20 feet uncovered . If the area of the filed is 680 square feet, how many feet of fencing will be required?

101. Idark buys 80 kg sugar at Taka 40 per kg and 40 kg rice at Taka 50 per kg. At what price approximately in taka per kg of rice and sugar should he sell to make a profit of 10% on cost?

102. Sam ranked ninth from the top and thirty -eight from the bottom in a class. How many student are there in the class?

103. An amount of Tk 735 was divided among A, B and C, If each of them had recieved Tk 25 less, their shares would have been in the ratio of 1:3:2 . The money recieved by C was:

104.

Tea worth Tk. 126 per kg and Tk. 135 per kg are mixed with a third variety in the ratio 1:1:2. If the mixture is worth Tk. 153 per kg, then the price of third variety per kg will be:

105.

If a man reduces the selling price of a fan from Tk. 400 to Tk. 380, his loss increases by 2%. The cost price of the fan is:

106.

A salesman's commission is 5% on all sales up to Tk. 10,000 and 4% of all sales exceeding this amount. He remits Tk. 31,100 to the parent company after deducting his commission. His sales were worth:

107.

Arko is twice as old as Adeeb. Eight years ago, Arko was 6 years younger than three times Adeeb's age at that time. How old will Arko be in 5 years?

108.

Find the value of x for the logarithmic function log, (4x-3) = 2.

109.

Let the functional relationship between y and x be given by y = <math xmlns="http://www.w3.org/1998/Math/MathML"><msqrt><mn>3</mn></msqrt><msqrt><mi>x</mi></msqrt><mo>.</mo></math><math xmlns="http://www.w3.org/1998/Math/MathML"><msqrt><mn>3</mn></msqrt><msqrt><mi>x</mi></msqrt><mo>.</mo></math>

110.

A man saves Tk 20,000 in 10 years. He saves Tk 200 more every year than the previous year, except the first year. How much does he save in the first year?

111.

What is the value of the 11th term of the geometrical progression 1, 2, 4, 8, 16,....?

112.

<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>I</mi><mi>f</mi><mo>&#xA0;</mo><msup><mi>a</mi><mi>x</mi></msup><mo>=</mo><msup><mi>b</mi><mi>y</mi></msup><mo>,</mo><msup><mi>y</mi><mi>c</mi></msup><mo>&#xA0;</mo><mi>a</mi><mi>n</mi><mi>d</mi><mo>&#xA0;</mo><msup><mi>c</mi><mi>z</mi></msup><mo>=</mo><mi>a</mi><mo>,</mo><mi>w</mi><mi>h</mi><mi>a</mi><mi>t</mi><mo>&#xA0;</mo><mi>i</mi><mi>s</mi><mo>&#xA0;</mo><mi>t</mi><mi>h</mi><mi>e</mi><mo>&#xA0;</mo><mi>v</mi><mi>a</mi><mi>l</mi><mi>u</mi><mi>e</mi><mo>&#xA0;</mo><mi>o</mi><mi>f</mi><mo>&#xA0;</mo><mi>x</mi><mi>y</mi><mi>z</mi><mo>?</mo></math>

113.

The number of mosquitoes, M(x) in millions of Dhaka city depends on rainy seasons' rainfall, x, in inches approximately as: M(x)=12x-x2. What would be the maximum of mosquitoes in Dhaka city?

114.

Which of the following numbers can be removed from the set S = {0, 2, 4, 5, 9} without changing the average of the set ?

115.

The price of commodity X increases by 40 paisa every year, while the price of commodity Y increases by 15 paisa every year. If in 2023, the price of commodity X was Tk. 4.20 and that of Y was Tk. 6.30, in which year commodity X will cost 40 paisa more than the commodity Y?

116.

By how much is the greatest of six consecutives even integers greater than the smallest among them?

117.

Solve the equation <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mn>2</mn><mrow><mn>2</mn><mi>x</mi><mo>+</mo><mn>1</mn></mrow></msup><mo>+</mo><msup><mn>4</mn><mi>x</mi></msup><mo>=</mo><mn>48</mn></math>

118.

<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>I</mi><mi>f</mi><mo>&#xA0;</mo><mi>x</mi><mo>=</mo><mfrac><mrow><msqrt><mn>3</mn></msqrt><mo>-</mo><mn>2</mn></mrow><mrow><msqrt><mn>2</mn></msqrt><mo>+</mo><mn>1</mn></mrow></mfrac></math> then which of the following equals to x - 4 ?

119. Find the value of the mathematical expression ${(\sqrt{3} +\sqrt{2})}^3{(\sqrt{3} -\sqrt{2})}^3$

120. f 7 workers can assemble a car in 8 hours, how long it would take 12 workers to assemble the same car?

121. $if \frac{1}{x}>1,$ which of the following must be true?

122. AC, a diagonal of the rectangle ABCD, measures 5 units. The area of the rectangle is 12 square units. What is the perimeter of the rectangle?

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

124. If $x={10}^{14},y={10}^{0.7} and x^z=y^3$ $then is the value of z ?$

125. if x = 2  and y = - 1 which of the following expression is the greatest?

126. A cyclist trayels at 12 miles per hour. How many minutes will it take to travel 30 miles?

127. Which mathematical expression $\frac{\log \sqrt{27}+\log 8-\log \sqrt{1000}}{log 1.2}$

128. What is the value of x , if (3/5)x = 125/27 ?

129. A bag contains 6 red balls, 11 yellow balls and 5 pink balls. If two balls are drawn at random from the bag one after another, what is the probability that the first ball is red and the second ball is yellow?

130. A committee of 5 members is to be formed out of 3 trainees, 4 professors and 6 research associates. In how many different ways can this be done if the committee should have 2 trainees and 2 research associates?

131. If simple interest on Tk. 600 for 4 years and on Tk. 600 for 2 years combined is Tk. 180, find the rate of interest.

132. A can contains a mixture of two liquids A and B in the ratio 7:5. When 9 liters of mixtures are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many liters of liquid A was contained by the can initially?

133. X can do a piece of work in 24 days. When he had worked for 4 days, Y joined him. If the work was completed in 16 days, Y alone can finish that work in: