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1. The average weight of a group of persons increased from 48 kg to 51 kg, when two persons weighing 78 kg and 93 kg join the group. Find the initial number of members in the group?
2. Sum of the digits number is 8 and their product is 12. Find the difference between the digits?
3. Nine men went to a hotel. Eight of them spent Rs.3 each over their meals and the ninth spent Rs.2 more than the average expenditure of all the nine. Determine the total money spent by them?
4. 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?
5. In a fort, there are 1200 soldiers. If each soldier consumes 3 kg per day, the provisions available in the fort will last for 30 days. If some more soldiers join, the provisions available will last for 25 days given each soldier consumes 2.5 kg per day. Find the number of soldiers joining the fort in that case.
6. If x = √8 - √7, y = √6 - √5 and z = √10 - 3, which of the following is true?
7. The edge of three cubes of metal is 3 dm, 4 dm and 5 dm. They are melted and formed into a single cube. Find the edge of the new cube?
8. A and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days?
9. Twenty four men can do a work in 35 days. How many men are required to complete the work in 21 days?
10. How many of the following numbers are divisible by 132?
11. The surface of a cube is 24sq cm. Find its volume?
12. The least number which when diminished by 7 is divisible by 21, 28, 36 and 45 is?
13. By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent?
14. A, B and C have Rs.500 between them, A and C together have Rs.200 and B and C Rs.350. How much does C have?
15. (1000)^{9}/10^{24} = ?
16. The ratio of the present ages of Giri and Hari is 5 : 8. 12 years hence, the ratio of their ages will be 11 : 14. Find the difference in their present ages?
17. The C.P of 15 books is equal to the S.P of 18 books. Find his gain% or loss%?
18. A wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6 : 5. What is the area of the rectangle?
19. What is the difference between the largest and the smallest number written with 7, 7, 0, 7?
20. If one third of 3/4 of a number is 21. Then find the number?
21. P and Q started a business investing Rs. 85,000 and Rs. 15,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
22. Find the greatest number which divides 83, 125 and 209 leaving the same remainder in each case.
23. 6 - [5/6 + {3 7/8 - 2 1/3 + 1 7/9}] = ?
24. What percent of 120 are 90?
25. Find the quadratic equations whose roots are the reciprocals of the roots of 2x^{2} + 5x + 3 = 0?
26. A train 100 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?
27. Ratio between two numbers is 3: 4 and their sum is 420. Find the smaller number?
28. What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for four years?
29. The sum of the present ages of father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be:
30. 30.9 * 3000 - 10.1 * 1100 + 8298 - 4302 = ?
31. The successive discounts 20% and 15% are equal to a single discount of?
32. I. x^{2} + 9x + 20 = 0, II. y^{2} + 5y + 6 = 0 to solve both the equations to find the values of x and y?
33. 22004 - 29303 + 101299 - 59532 = ?
34. A gets 3 times as much money as B gets, B gets only Rs.25 more then what C gets. The three gets Rs.675 in all. Find the share of B?
35. Find the one which does not belong to that group ?
36. In an exam, a candidate secured 504 marks out of the maximum mark of M. If the maximum mark M is converted into 800 marks, he would have secured 384 marks. What is the value of M?
37. The ratio between the present ages of P and Q is 6:7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years?
38. 421 * 0.9 + 130 * 101 + 10000 = ?
39. If 35% of a number is 12 less than 50% of that number, then the number is?
40. Find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm?
41. Kim can do a work in 3 days while David can do the same work in 2 days. Both of them finish the work together and get Rs. 150. What is the share of Kim?
42. 9000 + 16 2/3 % of ? = 10500
43. A merchant has three different types of milk: 435 liters, 493 liters and 551 liters. Find the least number of casks of equal size required to store all the milk without mixing.
44. 2^{42} + 4^{20} + 16^{11} + 64^{7} equals
45. A sells his goods 50% cheaper than B but 50% dearer than C. The cheapest is?
46. Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number is:
47. A tank 3 m long, 2 m wide and 1.5 m deep is dug in a field 20 m long and 14 m wide. If the earth dug out is evenly spread out over the field, the level of the field will raise by nearly?
48. A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
49. 10 camels cost as much as 24 horses, 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants. If the cost of 10 elephants is Rs.170000, find the cost of a camel?
50. A cube of side one meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?