1. যদি $\frac{x}{y}=৩$এবং $\frac{(a-x)}{b-y}$=৩হয় তবে $\frac{a}{b}$এর মান কত?

2. নয়ন একটি কাজ ১ ঘন্টায় করতে পারে। একই কাজ আরিফ ২ ঘন্টায় ও সুমন ৩ ঘন্টায় সম্পন্ন তরতে পারে। কাজটি ৩ জনে একত্রে সম্পন্ন করতে লাগবে-

3. দুইটি ধারাবাহিক সংখ্যার বর্গের পার্থক ৩৫, সংখ্যা দুটি কত?

4. একটি পাত্রে ৬০ লিটারের একটি মিশ্রণ রয়েছে যাতে দুধ ও পানির অনুপাত ২:১, এই অনুপাতকে ১:২ করতে হলে কত লিটার পানি মিশাতে হবে?

5. নীচের সংখ্যাগুলির মধ্যে কোনটি ২/৩ থেকে ছোট

6. একজন ব্যক্তি ৩৬০ টাকা ধার করল এবং পরবর্তীতে প্রতিটি কিস্তি ৩১.৫০ টাকা করে ১২ টি কিস্তিতে পরিশোধ করল। ঐ ব্যক্তির সুদের হার কত ছিল?

7. ছয়টি সংখ্যার গড় হল ৪১। এর মধ্যে ৩টি সংখ্যা হল৩১,৩২,এবং ৪১। বাকী ৩টি সংখ্যার প্রতিটির মান হল ক। ক এর মান কত?

8. সয়াবিন তৈলের দাম ২৫ শতাংশ বেড়ে গেছে। সয়াবিন তেলের ব্যবহার কত শতাংশ কমালে খরচের কোনো পরির্বতন হবে না?

9. একটি স্কুলের ৪২ জন ছাত্রের মধ্যে ২০ জন ডিবেটিং ক্লাবের সদস্য ও ২৮ জন নাট্যকলা ক্লাবের সদস্য। কত জন উভয় ক্লাবের সদস্য?

10. যদি একটি আয়তাকার বাগানের দৈর্ঘ্য এবং প্রস্থ উভয়ই ১০% হারে বাড়ানো হয় , তবে বাগানটির ক্ষেত্রফল কত হারে বাড়বে?

11. রহিমের বর্তমান বয়স ২৪ বৎসর তার বড় ভায়ের বর্তমান বয়স ৫৬ বৎসর । কত বৎসর পরে রহিমের বয়স তার বড় ভায়ের বয়সের অর্ধেক হবে?

12. তিনটি মৌলিক সংখ্যার গুণফল ১৭২৯ এবং এর মধ্যে দুটির গুণফলের দ্বিগুণ হল ১৮২। তৃতীয় সংখ্যাটি কত?

13. যদি একটি সংখ্যার ৩০ শতাংশের ১৫ শতাংশ ১৮ হয় , তবে সংখ্যাটি কত?

14. যদি (x+y) + xy= ১ হয় , তাহলে y=?

15. শহর B শহর A থেকে ৮ মাইল পূর্বে অবস্থিত, শহর C শহর B থেকে উত্তরে অবস্থিত , শহর D শহর C থেকে ১৬ মাইল পূর্বে অবস্থিত , এবং শহর E শহর D থেকে ১২ মাইল উত্তরে অবস্থিত। শহর A থেকে শহর E এর দূরুত্ব কত?

16. হাসানের আয় যাবেদের আয়ের ৬০%বেশি এবং যাবেদের আয় বাবুর আয় থেকে ৪০% কম। হাসানের আয় বাবুর আয়ের কত ভাগ?

17. কোনো ভগ্নাংশের লব ও হরের যোগফল ১৭। যদি লবের সঙ্গে ৩ যোগ করা হয় তবে ভগ্নাংশটির মান হয় ১। ভগ্নাংশটির কত?

18. চার জন বালক নির্দিষ্ট পরিমাণ টাকা ভাগ করে নেয়। প্রথম বালক মোট টাকার ১/৬ অংশ, দ্বিতীয় বালক ১/৪ অংশ এবং তৃতীয় বালক ১/২ অংশ পায়। যদি চতুর্থ বালক৫০টাকা পায় , তাহলে মোট টাকার পরিমাণ কত ছিল?

19. একটি ক্রিকেট দলের যতজন ষ্ট্যাম্প আউট হলো তার দেড়গুণ কট আউট হল এবং মোট উইকেটের অর্ধেক বোল্ড আউট হলো। এই দলে কতজন কট আউট হলো?

20. ১৫ জন লোকের বয়সের গড় ২৯ বৎসর। তাদের মধ্যে আবার দুজনের গড় ৫৫ বৎসর। তাহলে বাকি ১৩ জনের বয়সের গড় কত হবে?

21. Ahsan travels for 6 hours at a rate of 50 miles per hour. His return trip takes 7.5 hours. What is his average speed for the whole trip?

22. An emergency vehicle travels 10 miles at a speed of 50 miles per hour. How fast must the vehicle travel on the return trip if the round-trip if travel is to be 20 minutes?

23. A chair originally cost Taka 50.00. The chair was offered for sale at 108% of its cost. After a week the price was discounted 10% and the chair was sold. The chair was sold for:

24. A company employs 15 workers working 44 hours a week to complete a job. If 4 men are ill, how many hours a week would the rest have to works to complete the job?

25. If 4 cows prduce 4 liters of milk in 4 days, how many days does it take for 8 cows to produce 8 liters of milk?

26. Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are :

27. A jar contains black and white marbles. If there are ten marbles in the jar, all of the following could be the ratio of black and whit marbles EXCEPT:

28. A sum of Taka 3000 invested at 4% per annum for a number of years earned Taka 300 interest. What is the time period?

29. In a city 40% of the people have black hair, 25% have black eyes and 10% have both black hair and black eyes. What percentage of the people in the city has neither black hair nor black eyes?

30. If the interest on Taka 500 for 4 years and Taka 600 for 5 years is Taka 500; what will be the rate of interest?

31. If 8 dozens of bananas are purchased at the rate of Taka 30 per dozen and 12 dozens are purchased at Taka 25 per dozen, what rate per dozen it should be sold to make a profit of Taka 3 per dozen?

32. An author received Taka 0.80 in royalties for each of the first 100,000 copies of his book sold, and Taka 0.60 in royalties for each additional copy sold. If he received a total of Taka 260,000 in royalties, how many copies of his book were sold?

33. A stock decreases in value by 20%. By what percentage must the stock price increase to reach its former value?

34. Of the 65 cars on a car lot, 45 have air conditioning, 30 have power windows, and 12 have both air conditioning and power windows. how many of the cars on the lot have neither air conditioning nor power windows?

35. At a selling price of Taka 275 a book yields 25% profit. What selling price will yield the profit of 10%?

36. A book had a catalogue price of Tk. 400. It was sold at a discount of 15% . If the book had a cost of Tk. 200, what was the percentage of profit?

37. There are 50 students enrolled is business finance. Of the enrolled students, 90% took the final exam. Two thirds of the students who took the final exam passed it. How many students passed the final exam?

38. The total of 10 number is 462; the average of the first 4 numbers is 52; the average of the last 5 numbers is 38. What is the fifth number?

39. A worker is paid d Dollar an hour for the first 8 hours. Four every hour after the first 8 hours, she is paid c dollars an hour. If she works 12 hours in one day, what is the average hourly wage for that day?

40. What is the eight term of the sequence 1, 4, 9, 16, 25, ...., ...., .....?

41. The average of six numbers is 6. If 3 is subtracted from each of the numbers, what is the new average?

42. A vertical pole 6 feet high casts a shadow 4 feet long. At the same time a tree cast a shadow 64 feet long. What is the length, in feet, of the trees?

43. A hostel spends Tk. 3200 as cost of rice 20 students for 30 days. If they spend Tk. 2400 for 30 students, for how many days will the rice last?

44. The price of corn rose by 20% two years ago and 15% last year. What is the combined percent increase in price?

45. The population of a town was 160,000 three years ago. If it is increased by 3%, 2.2% and 5% respectively in the last three years, then the present population of the town is :

46. Salaries of A, B and C are in the ratio 2:4:6. Salary of Band C together is Tk. 12,000 By what percent is salary of C more than that of A?

47. Sakib's weekly salary is Tk. 70 less than Javed's , whose weekly salary is Tk. 50 more than Samir's. If Samir earns tk. 280 per week, how much does Sakib earn per week?

48. Present ages of Saleh and Anu are in the ratio of 5:4 respectively. Three years later, the ratio of their ages will become 11:9 respectively. What is Anu's present age in years?

49. Mr. X bought a dozen of apples for Tk. 18. He sells two apples at the purchase price of 3 apples. What is the selling price of a dozen apples?

50. In a certain English class, 1/4 of the number of girls is equal to 1/6 of the total number of students. What is the ratio of the number of girls in the class?

51. An examiner checks 4 scripts in 5/3 hours. How many scripts can he check in 50 minutes?

52. If 'n' is a positive number, 70% of 'n' is what percent of 700n?

53. In three more years, Sabrina's grandfather will be six times as old as Sabrina was last year. When Sabrina's present age is added to her grandfather's present age, the total is 68. How old is Sabrina now?

54. In his pocket, a boy has 3 red marbles, 4 blue marbles, and 4 green marbles. How many will he have to take out of his pocket to ensure that he has taken out at least one of each color?

55. A shirt was marked down 20% the first week and another 20% the next week. What percent of the regular price was the final cost of the shirt after two markdowns?

56. The radius of a circle is increased by 10%, Then the area is increased by what percent?

57. A person travels a distance of 25 km at a speed of 75 km/hr and then comes back at twice the speed. How many minutes did he take in total?

58.

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59.

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61. $If x-\frac{1}{x}=\sqrt{3} then x +\frac{1}{x}=?$

62. Which of the following equations does not represent a straight line?

63. The diagonal of a rectangle is $\sqrt{41}$ cm and it is $20c{m}^2$.What is the perimeter of the rectangle?

64. A circularr garden with diameter o f20 meters is surrounded by a walkway of width 1 meter. What is the area of the walkway?

65. If it is Monday today, which day will come after 61 days of it?

66. A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag; If at least one ball is to be included in the draw?

67. The average of the numbers is 7. What will be the new average if each of the numbers is multiplied by 8?

68. The sum of fourth and twelfth term of an arithmetic progression is 20. What is the sum of the first fifteen terms of that arithmetic progression?

69. Find the least number of six digits which is exactly divisible by 15, 21 and 28.

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

71. A card is randomly drawn from a deck of 52 cards. what is the probability of getting an Ace or King or Queen?

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

73. 300 grams of sugar solution has 40% sugar in it. How much sugar should be added to make it 50% in the solution?

74. Samir is twice as old as Babul was two years ago. If the difference between their ages is 2 years, how old is Samir now?

75. Which of the following is the average of first prime numbers?

76. When the diameter of a circle is tripled, the area of the circle will be increased by ---

77. If n-5 is an even integer, what is the next large consecutive even integer?

78. In first 1000 natural numbers, how many integers exist such that they leave a remainder 4 when divided by 7 and a remainder 9 when divided by 11?

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

80. If a man was r years old s years ago, how many years old will he be t years from now?

81. The distance from the centre of a circle to the circumference is ---

82.

Which of the following are equal in value?

83. If a is 150 percent of B, then B is what percent of (A+B)?

84. A garrison of 500 men had provisions for 27 days. After 3 days a reinforcement of 300 men arrived . For how many more days will the remaining food last now?

85. $Evaluate: \sqrt{41-\sqrt{21+\sqrt{19-\sqrt{19}}}}$

86. The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?

87. 2% of 2=?

88. A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from opposite direction in 6 seconds. The speed of the second train is --

89. In a kilometre race, A beats B by 100 m and B beats C by 150 m. In the same race, by how many metres does A beat C?

90. A, B and C enter into a partnership. A contributes one-third of the capital while B contributes as much as A and C together contribute. If the profit at the end of the year amounts to Tk. 900, What would C receive?

91. The average of 7 consecutive numbers is 20. The largest of these number is ---

92. The compound interest on Tk. 2800 for 18 months at 10% p.a. is

93. If a man goes 18 km downstream in 4 hours and returns against the stream in 12 hours, then speed of the stream in km/hr is

94. If the income of A is 10% more than that of B and the income of B is 20% less than that of C, then the income of A, B and C respectively are in the ratio

95. Which of the following fractions is the largest?

96. Find the missing numeral: (?-2763)/86*13=208

97. If each side of a rectangle is increased by 50%, its area will increase by

98. A person deposited Tk. 400 for 2 years, Tk. 550 for 4 years and Tk. 1200 for 6 years. He received the total simple interest of Tk. 1020. The rate of interest per annum is

99. A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in :

100. A trader buys some goods for Tk. 150. If the overhead expenses be 12% of cost price, then at what price should it be sold to earn 10%?

101. A number is doubled and 9 is added. If the resultant is trebled, it beomes 75. What is that number?

102. The number 89715938* is divisible by 4. The unknown non-zero digit marked as* will be

103. A car is driven at the speed of 100 km/hr and stops for 10 minutes at the end of every 150 km. To cover a distance of 1000 km, it will take.

104. How many rotations will the hour hand of a clock complete in 72 hours?

105. A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity profit is

106. What is the sum of the squares of the digits from 1 to 9?