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1. 105 * 99 * 299 = ?
2. 25% of 30% of 45% is equal to?
3. A and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in?
4. If x = √8 - √7, y = √6 - √5 and z = √10 - 3, which of the following is true?
5. The length and breadth of a rectangle is increased by 10% and 25% respectively. What is the increase in the area?
6. A property decreases in value every year at the rate of 6 1/4% of its value at the beginning of the year its value at the end of 3 years was Rs.21093. Find its value at the beginning of the first year?
7. 5% people of a village in Sri Lanka died by bombardment, 15% of the remainder left the village on account of fear. If now the population is reduced to 3553, how much was it in the beginning?
8. The difference between a number and its two-fifth is 510. What is 10% of that number?
9. An express traveled at an average speed of 100 km/hr, stopping for 3 min after every 75 kn. How long did it take to reach its destination 600 km from the starting point?
10. A can do a piece of work in 40 days; B can do the same in 30 days. A started alone but left the work after 10 days, then B worked at it for 10 days. C finished the remaining work in 10 days. C alone can do the whole work in?
11. An amount of Rs.1560 was divided among A, B and C in the ratio 1/2:1/3:1/4. Find the share of C?
12. The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 40 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam.
13. What is the probability that a leap year has 53 Sundays and 52 Mondays?
14. 26.98% of 6002 + 45.01% of 4199 = ?
15. Anil invested a sum of money at a certain rate of simple interest for a period of five years. Had he invested the sum for a period of eight years for the same rate, the total intrest earned by him would have been sixty percent more than the earlier interest amount. Find the rate of interest p.a.
16. Mahesh marks an article 15% above the cost price of Rs. 540. What must be his discount percentage if he sells it at Rs. 496.80?
17. If population of certain city increases at the rate of 5%. If population in 1981 was 138915, then population in 1978 was?
18. A sum of Rs.4800 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.
19. The least number of four digits which is divisible by 4, 6, 8 and 10 is?
20. Simplify: y^{p(q - r)} . y^{q(r - p)} . y^{r(p - q)}
21. If 10% of x = 20% of y, then x:y is equal to:
22. By mixing two brands of tea and selling the mixture at the rate of Rs. 177 per kg. a shopkeeper makes a profit of 18%. If to every 2 kg of one brand costing Rs. 200 per kg, 3 kg of the other brand is added, then how much per kg does the other brand cost?
23. Sreenivas sells a table to Shiva at 10% profit and Shiva sells it to Mahesh at 10% loss. At what price did Sreenivas purchase the table if Mahesh paid Rs. 2178?
24. The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
25. A sum of money becomes double itself in 8 years at simple interest. How many times will it become 10 years at the same rate?
26. [3/7 of {21 * (33.33% of (27 + 3) ÷ 5) - 7} - 8] = ?
27. The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers?
28. A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is?
29. In a factory, there are 40% technicians and 60% non-technicians. If the 60% of the technicians and 40% of non-technicians are permanent employees, then the percentage of workers who are temporary is?
30. The least number of complete years in which a sum of money put out at 20% C.I. will be more than doubled is?
31. Peter invested an amount of Rs. 12,000 at the rate of 10% p.a simple interest and another amount at the rate of 20% p.a. simple interest. The total interest earned at the end of one year on the total amount invested became 14% p.a. Find the total amount invested?
32. A can finish a piece of work in 5 days. B can do it in 10 days. They work together for two days and then A goes away. In how many days will B finish the work?
33. A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
34. Ratio between two numbers is 3: 4 and their sum is 420. Find the smaller number?
35. A, B and C can do a piece of work in 24, 30 and 40 days respectively. They start the work together but C leaves 4 days before the completion of the work. In how many days is the work done?
36. Four bells begin to toll together respectively at the intervals of 8, 10, 12 and 16 seconds. After how many seconds will they toll together again?
37. Find the least number which when divided by 35 leaves remainder 25, when divided by 25 leaves remainder 15 and when divided by 15 leaves remainder 5?
38. If 15% of 30% of 50% of a number is 90, then what is the number?
39. A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 3 a rupee. Find his net profit or loss percent?
40. If x = √196 + √200, then x/2 + 2/x is?
41. The area of the cardboard(in cm^{2}) needed to make a box of size 25 cm * 15 cm * 8 cm will be?
42. I. x^{2} + 11x + 30 = 0, II. y^{2} + 15y + 56 = 0 to solve both the equations to find the values of x and y?
43. The average of first five multiples of 3 is:
44. A cistern has three pipes, A, B and C. The pipes A and B can fill it in 4 and 5 hours respectively and C can empty it in 2 hours. If the pipes are opened in order at 1, 2 and 3 A.M. When will the cistern be empty?
45. Find the average of all the numbers between 6 and 34 which are divisible by 5.
46. In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the rate in the remaining 40 overs to reach the target of 282 runs?
47. 40% of Ram's marks is equal to 20% of Rahim's marks which percent is equal to 30% of Robert's marks. If Robert's marks is 80, then find the average marks of Ram and Rahim?
48. The tax on a commodity is diminished by 20% and its consumption increased by 15%. The effect on revenue is?
49. There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle.
50. If the price has fallen by 10% what percent of its consumption be: increased so that the expenditure may be the same as before?