1. A person needs to pay Tk. 500 to buy pencils and Tk. X for any additional unit of pencil . If the customer pays a total of Tk. 4,700 for 1200 pencils, what is the value of X ?
2. The length of room is 1.5 times of its breadth. If the area of the room is 216 sq. meters , what is the perimeter of the room ?
3. A triangular plot with sides of 25 feet, 40 feet, 40 feet and 55 feet is to surround by a fence built on pillars set 5 feet apart. How many pillars will be required to surround the plot?
4. On dividing an individual number by 342, we get 47 as remainder. If the same number is divided by 18, what will be the remainder?
5. An Amount of tk. 366 is to be divided among P,Q and R in such a manner that Q gets two- third as much as P and R together , and P may get half as much as Q and R together . What is the share of P?
6. A wheel rotates 10 times per minutes and moves 20 m during each rotation . How many feet does the wheel move in 1 hour?
7. Find the compound interest at the rate of 10% per annum for four yearss on the principal which in four years at the rate of 4% per annum gives tk. 1600 as simple interest.
8. A leading library charges c cents for the first week that a book is loaned and f cents for each day over one week. What is the cost for taking out a book for d days. Where d is greater than?
9. A milkman pays tk. 6.40 per liter of milk. He adds water and sells the mixture at tk. 8per liter. By doing this, he makes 37.5% profit. Find the proportion of water to milk received by the customers?
10. A man rows a certain distance along the stream and against the stream in 1 hour and 1.5 hours respectively . If the velocity of the current is 3 km /hr. what is the speed of a man in still water?
11. There are two stations of length 162 meters and 120 meters respectively . A train takes 15 seconds to pass first station and 18 seconds to pass another station . Determine the length of the train ?
12. A student loses I mark for every wrong answer and scores 2 marks for every correct answer . If he answers all the 60 questions in an exam and scores 39 marks , how many of them were correct?
13. The sum of squares of two numbers is 80 and the square of difference between the two numbers is 36. Find the product of tow numbers.
14. 125 gallins of a mixture contains 20% water , What amount of additional water should be added such that water content be raised to 25% ?
15. There are n students in a school . If r% among the students are 12 years or younger, which of the following expressions represents the number of students who are solder than 12?
16. is equal to -
17. The income of 'A' is 20% higher than that of 'B' . The income of 'B' is 25% less than of 'C' What percent less is A ' s income form C's income?
18. A square is inscribed in a circle of diameter 2 a sand another square is circumscribing circle. The difference between the areas of outer and inner squares is.
19. Rahim and Karim donated Tk. 100. each in charity . Karim gives each tk. 1 more than Rahim and Rahim distributes money to 5 more people than Karim . How many people are there in this charity ?
20. A box contains 4 tennis ball 6 season and 8 dues balls . 3 balls are randomly drawn from the box. What is the probability that the balls are different ?
21. One filling pipe P is three times faster than another filling pipe Q , If P can fill the tank in 24 hours, then what is the time taken to completely fill the tank if both pipes are opened together?
22. If 2 kg of metal, of which 1/3 is zine and the rest is copper , be mixed with 3 kg of metal, of which 1/4 is zinc and the rest is copper , then what will be the ratio of zinc to copper in the mixture?
23. A box is made in the form of a cube. If a second cubical box has inside dimensions three those of the first box, how many times as much does the second contain?
24. The sum of the circumference of a circle and the perimeter of a rectangle is 130 cm. The area of the rectangle is 104 and the length of the rectangle is 13 cm. What is the area of the circle ?
25. Worker P is 50 % as efficient as worker Q. Worker R does half of the work done by P and Q together . If R alone does the work in 40 days , then P, Q, and R together can do the work in -
26. A tank has two leakages. The first leakage alone can empty the tank in 9 minutes and the second alone would have done it in 6 minutes. If water leaks out at a constant rate. how long does it take both the leakage together to empty the tank ?
27. The length of a rectangle is 20% more than its breadth . Find the ratio of the area of the rectangle to that of the square whose side is equal to the breadth of the rectangle .
28. Rahim invested in all Tk. 2600 in three different schemes at 8% ,4% and 6% per annum simple interest . At the end of the year, he received the same interest in all the three schemes. What is the money invested in scheme having 4% rate of interest?
29. Lubana purchased 20 kg of pulses at a rate of Tk. 14.25 per kg and 30 kg of pulses at a rate of TK. 11.50 per kg.She decided to mix the two and sold the mixture. To make a profit of 30% what price per kg should he sell the mixture ?
30. A boat takes 4 hours to cover a certain distance running downstream, while it requires 8 hours 48 minutes to cover the same distance .Find the ratio between the speed of the current and the speed of the boat?
31. Two trains P and Q are moving in opposite direction at a rate of 36 km/hr and 45 km/hr respectively. A passenger is sitting in train P, finds that his train passes train Q in 8 seconds. What is the length of train Q?
32. A train starts from city Y at 2 PM and travels towards city X at 75 km/hr. Another train starts from city X at 1 PM and travels towards Y at 60 km/hr. If the distance between these two cities is 330 km then at what time will they meet?
33. A number when divided by 3 leaves a remainder 1 . When the quotient is divided by 2, it leaves a remainder 1. What will be the remainder when the number is divided by 6?
34. In your bookshelf, you have five favorite books. If you decide to arrange these five books in every possible combination and moved just one book in every half a minute How much time it will take you to arrange?
35. In a two digit number, the digit in the unit's place is two more than the three times of the digit in ten's place . If the sum of the tow digits is 6 , the number is -
36. A hall, 20m long and 15 m broad , is surrounded by a veranda of uniform width of 2.5m. The cost of flooring the verandah at TK. 3.50 per square meter is -
37. The difference between two positive number is 3 and the sum of their squares is 369. Then the sum of the numbers is -
38. An amount of TK. 10,000 becomes TK. 20,736 in 2 years. If the rate of interest is compounded half yearly , what is the annual rate of interest?
39. If radius of a circle is increased by 30% then its area is increased by -
40. After distributing the chocolates equally among 25 kids, 8 chocolates remain . Had the number of children been 28 , 22 chocolates would have been left after equally distributing. Find the total number of chocolates?
41. Three number are added in pairs , the sums so obtained are 20,27 and 23. What are those three numbers?
42. On reducing the entry fee by 35% in a park, the number of people coming to the park increased by 40% , then the percent increase or decrease in the income from the entry free is -
43. Given that, 24 carat gold is pure gold, 18 carat gold is 3/4th of pure gold and 20 carat gold is 5/6th of pure gold, the ratio of the pure gold in 18 carat gold to the pure gold in 20 carat gold is -
44. A boat takes 19 hours to travel downstream from point A to point B and coming back to a point C midway . betway A and B . If the speed of the stream is 4 km/hr . what is the distance between A and B?
45. The ratio of the length to the breadth of a rectangular park is 3 :2 , if a man cycling along the boundary of the park at the speed minutes , then what is the area of the park?
46. A jar contains a mixture of oil and water in the ratio 22 :3 . 50 litres of the mixture was taken out and 25 litres of water was added to it. If water was 34% in the resultant mixture, what was the initial quantity of the mixture (in litres ) in the jar?
47. The difference between the radio of bigger difference between circle and smaller circle is 14 and the difference between their sareas is 1056 cm2 . Radius of the smaller circle is .
48. X cm complete a certain work in same time in which Y and Z together can do it. If X and Y together can finish it in 10 days and Z alone in 15 days, then Y alone can do it in ?
49. The difference between the length and the breadth of a blackboard is 8 cm. If the breadth is decreased by 4 cm and the length is increased by 7 cm the areas remains the same. Find the dimensions of the blackboard?
50. 100 kg of solution A is mixed with 60 kg of solution B . If solution A has tin and copper in the ratio 1: 4 and solution B has lead and tin in the ratio 3 :2 then what is the amount of tin in the new solution?
51. In an office , 44% of the workers prefer coffee and 72% prefer tea. If each of them prefers coffee or tea and 40 like both, the total number of workers in the office is -
52. A number consists of two digits, the sum of the digit is 10. If 72 is subtracted from the number, the digits are interchanged. Find the number.
53. What is the number of divisor of 1008?
54. When the speed is increased by 4 miles per hour, it takes 4 hour less to cover a distance of 32 km. Find the previous speed.
55. If= and = then is-
56. A computer takes 50 nanoseconds to do an 221 addition. How many addition can it do in 1 second?
57. Which one of the following in the minimum value of sum of two integers whose product is 36?
58. How many positive integers less than 500 can we formed using the numbers 1,2,3 and 5 for the digit?
59. Which one is a factor of
60. If x +2y=4 and= 2, then determine the value of x and y.
61. What is the greatest prime factor of-1?