1. For all x>2, (2x২+2x-12)/(x-2)simplifies to :

2. The length of a rectangle is 3 times of its width. If the width of the rectangle is 5 inches, what is the rectangle's area, in square inches?

3. the average age of 12 children is 20 years. If the age of one more child is added, the average decreased by 1. What is the age of child added later?

4. Of the 120 households in an area, 55 have cars, 35 have motor bikes, and 20 have both cars and motor bikes. How many of the households in the area have neither cares nor motor bikes?

5. The price of desktop computer is discounted by 20%, and reduced price is then discounted by 20%. The series of successive discount is equivalent to a single discount of :

6. The owner of Aarong starts to calculate the percentage of customers who purchase Tagas. if 40% of the total customers who visit the store actually purchase goods and 15% of them purchase tagas, then what percentage of Aarong's customers are Taga buyers?

7. Humayra borrowed Tk. 240, free of interest, to pay for her new hair band. If she pays back 20% of the amount each month and has already paid back Tk. 120. how many months have passed since she took the loan?

8. The sum of principal and simple interest of a certain amount of money would be Tk. 460 after three years from now and Tk. 500 after five years from now. What is the related interest rate?

9. An ambulance travels 10 miles at a speed of 50 miles per hour. how fast must the ambulance travel on the return trip if the round trip travel time is 20 minutes?

10. A man donated 5% of his income to a charitable organization and deposited 20% of the remainder in a bank. if he now has Tk. 1919 left, then his income is :

11. If a commission of 10% is given on the marked price of a book, the publisher gains 20%. If the commission is increased to 15% the gain is :

12. A man spends 75% of his income. his income is increased by 20% and he increased his expenditure by 10%. His savings are increased by :

13. Masud has twice as much money as Selim has and Selim has 50% more money than what Bashir has. If the average money with them is Tk. 110, then Masud has :

14. A cricketer has a certain average for 9 innings. In the 10th innings he scores 100 runs, thus increasing his average by 8 runs. His new average is :

15. The average of 50 numbers is 38. If two numbers namely 45 and 55 are discarded, the average of the remaining number is :

16. If x/y=5/z, then $25y^2 equals$

17. If x percent of 40 is y, Then 10x equals :

18. Of the fruits that arrive at the cannery, 20 percent by weight is rejected before processing. Of the fruit that is processed, 15 percent by weight is rejected before canning. Of the fruit that arrives at the cannery. what percent by weight is canned?

19. When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 3 times, what is the probability that it will land on the same side each time?

20. There are 8 books on a shelf, of which 2 are paperbacks and 6 are hardbacks. how many possible selections of 4 books form this shelf include at least 1 paperback book?

21. (-5)(4)(2) (-1/2) (3/4) = ?

22. Mr. Rahim purchased one lot of shares (50 shares per lot) of company X for Tk. 5000 and sold 3/5th of it after its value doubled. He sold the remaining shares at a price 3 times higher than the original purchase price. What was his total profit?

23. City B is 4 miles east of City A. City C is 3 miles north of City B. City D is 8 miles east of City C and City E is 6 miles north of City D. What is the distance from City A to City E?

24. How many of the integers between 150 and 160 are prime numbers?

25. If the side of a square decreases by 30%, then the area of the square decreases by :

26. At a selling price of Tk. 275 a book yield 25% profit. What selling price will yield the profit of 10%?

27. Of the following fractions, which one is less than 2/3?

28. An overnight express firm charges Tk. 2 per kg for the first 10 kg of packet weight and Tk. 1 for each kg of or fraction of kg over 10 kg of packet weight. How much will it charge to ship a package which weighs 17.5 kg?

29. If 5x + 2y = 10 and x + 8y = 46, then 3x + 5y equals :

30. The sum of five consecutive integers is 105. The sum of the first two is :

31. Evaluate $\sqrt{41-\sqrt{21+\sqrt{19-\sqrt{9}}}}$

32. If 17 labourers can dig a ditch 26 m long in 18 days, working 8 hours a day; how many more labourer working 9 hours a day?

33. A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined them after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?

34. An article is sold at a certain price. By selling it at 2/3 of that price one loses 10%. Find the gain percent at original price.

35. If 35% of a number is 175, then what percent of 175 is that number?

36. The ratio between the present ages of P and Q is 5 : 7 respectively. If the difference between Q's present age and P's age after 6 years is 2, what is the total of P's and Q's present ages?

37. 50 is divided into two parts such that the sum of their reciprocals is 1/12. Find the two parts.

38. By how much is three-fifth of 350 greater than four-seventh of 210?

39. When 0.232323-----is converted into a fraction, then the results is :

40. Find the largest number of four digits exactly divisible by 12, 15, 18 and 27.

41. A rectangular fish tank 25'' by 9'' has water in it to a level of 2". This water is carefully poured into a cylindrical with a diameter of 10" . How high (in term of π will the water reach in the cylindrical container ?

42. The interest charged on a loan is p dollars per $1,000 for the first month and q dollars per $1,000 for each month after the first month. How much interest will be charged during the first three months on a loan of $10,000?

43. A square carpet with an area of 169 cm2 must have 2 cm cut off one of its edges in order to be a perfect fit for a rectangular room. What is the area (in cm2) of this rectangular room?

44. A box contains 12 poles and 7 pieces of net. Each piece of net weighs 0.2 gm; each pole weight 1.1 gm. The box and its contents together weigh 16.25 gm. How much does the empty box weigh?

45. If an integer y is subtracted from an integer x, and the result is greater than x, then y must be

46. .If x+y>5 and x-y>3, then which of the following gives all possible values of x and only possible values of x?

47. In a club 50% of the male voters and 80% of the female voters voted for candidate A. If candidate A received 70% of the total votes, what is the ratio of male to female voters?

48. The average of 6 numbers is 25. If 3 more numbers, with an average of 22 are added to these numbers, what will be the average of the combined 9 numbers?

49. To represent a family budget on a circle graph, how many degrees of the circle should be used to represent an item that is 20% of the total budget?

50. Three boys have marbles in the ration of 19:5:3. If the boy with the least number has 9 marbles, how many marbles does the boy with the highest number have?

51. If a, b and c are 3 consecutive integers and a>b>c, which of the following has the maximum value?

52. If the length of each of the sides of three square garden's plots is increased by 50 percent, by what percent is the sum of the areas of the three plots increased?

53. A manufacturer sells three products i.e. A, B and C. Product A cost 200 and sells for 250, Product B costs 150 and sells for 180, Product C costs 100 and sells for 110. On which product, he has maximum percentage of profit?

54. The length and breadth of a square are increased by 40% and 30% respectively. The area of the resulting rectangle exceeds the area of the square by?

55. A, B and C enter into partnership with investments in the ratio 5 : 7 : 8. If, at the end of the year A;s share of profit is Tk. 42360, how much is the total profit?

56. সকাল ছয়টায় সময় ঘণ্টায় কাঁটা ও মিনিটের কাঁটার মধ্যে কোণের পরিমাপ কত?

57. একটি পেন্সিলের দাম ১০ টাকা ও একটি কলমের দাম ২০ টাকা । যদি মিতার ১০০ টাকা থাকে, তবে কতগুলো পেন্সিল ও কলম কিনতে পারবে?

58. দুটি মেশিন একসাথে ঘণ্টায় ৪ টি খেলনা তৈরি করে । ৬ টি মেশিন ২ ঘণ্টায় কতটি খেলনা তৈরি করবে?

59. একটি ক্লাসে ৯ % শিক্ষার্থী A গ্রেড পেয়েছে। যদি ক্লাসে শিক্ষার্থীর সংখ্যা 300 হয় তবে কতজন শিক্ষার্থী A গ্রেড পেল?

60. ভাজক ভাগফলের 10 গুণ , ভাজক 0.5 হলে ভাজ্য কত?

61. 1/4 , 1/2 , 3/4 এর গড় কোনটি?

62. 68 , 81 , 100 , 121, ___ , ____ , শূণ্যস্তানে সিরিজের পরবর্তী সংখ্যাগুলো কত হবে?

63. 20% ডিসকাউন্টের পরে একটি বইয়ের খরচ 400 টাকা দাঁড়ায়। তবে বইটির প্রকৃত মূল্য কত?

64. একটি সামান্তরিকের দুইটি সন্নিহিত বাহুর দৈর্ঘ্য যথাক্রমে 7 সে.মি. , 5 সে.মি. হলে, এর পরিসীমার অর্ধেক কত?

65. x + y =6 ও 2x =4 হলে, y মান কত?

66. ধানে চাল ও তুষের অনুপাত 7 : 2 হলে, এতে শতকরা কী পরিমাণ চাল আছে?

67. আরিফ ও আকিবের বয়সের অনুপাত 5 : 3, আরিফের বয়স 20 বছর হলে, কত বছর পর তাদের বয়সের অনুপাত 7 : 5 হবে ?

68. $9x^2-16y$এর উৎপাদকে বিশ্লেষণ নিচের কোনটি?

69. x + y =3 , xy =2 হলে , $x^3+y^3$ এর মান কত?

70. কোনটি ত্রিভুজের ক্ষেত্রফল ?

71. $x^2-x-12=0$ সমীকরণের মূলদ্বয় নিচের কোনটি?

72. যদি x =-3 এবং y = 2 হয়,$x{y}^2=$ কত?

73. একটি কলম 11 টাকায় বিক্রয় করলে 10% লাভ হয়। কলমটির ক্রয়মূল্য কত?

74. 1 বিলিয়ন = কত কোটি ?

75. x + y = x -y হলে y এর মান নিচের কোনটি?

76. -1 হতে কত বিয়োগ করলে বিয়োগফল ০ শূন্য হবে?

77. ফারহানের জন্মদিন 29 ফেব্রুয়ারি । তার জন্ম গ্রহণের সালটি হতে পারে:

78. x-y=2 এবং x+ y = 60 হলে $x^2-y^2$ এর মান কত?

79. তরল পদার্থের আয়তন পরিমাপের একক কোনটি?

80. $0.3\times 0.6=$কত?