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1. The diameter of a cylindrical tin is 6cm and height is 5 cm. Find the volume of the cylinder?
2. If a man can cover 12 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
3. At what rate of interest is an amount doubled in two years, when compounded annually?
4. 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?
5. Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours. C is closed A and B can fill the remaining par in 7 hours. The number of hours taken by C alone to fill the tank is?
6. If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is -.
7. The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?
8. Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers?
9. A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
10. Twenty times a positive integer is less than its square by 96. What is the integer?
11. Divide Rs. 1500 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is?
12. Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?
13. A room is 15m long, 4m broad and 3m height. Find the cost of white washing its four walls at 50p per m^{2 }?
14. 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.
15. Simplify: y^{p(q - r)} . y^{q(r - p)} . y^{r(p - q)}
16. A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
17. A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?
18. The edges of a cuboid are 4 cm, 5 cm and 6 cm. Find the volume of the cuboid?
19. If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
20. Ronald and Elan are working on an assignment. Ronald takes 6 hrs to type 32 pages on a computer, while Elan takes 5 hrs to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?
21. The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
22. A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?
23. The jogging track in a sports complex is 726 m in circumference. Deepak and his wife start from the same point and walk in opposite directions at 4.5 km/hr and 3.75 km/hr respectively. They will meet for the first time in?
24. Find the one which does not belong to that group ?
25. The average of first 10 even numbers is?
26. 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?
27. How many minimum number's of whole square slabs are required for paving the floor 12.96 meters long and 3.84 meters side?
28. A gardener was asked a plant flowers in a row containing equal number of plants. He tried to plant 6, 8, 10 and 12 in each row, but 5 plants left in each case. When he planted 13 in a row, no plant was left. Find the number of plants with him?
29. Find the one which does not belong to that group ?
30. A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
31. How much interest can a person get on Rs. 8200 at 17.5% p.a. simple interest for a period of two years and six months?
32. Amar takes as much time in running 18 meters as a car takes in covering 48 meters. What will be the distance covered by Amar during the time the car covers 1.6 km?
33. Find the lowest common multiple of 24, 36 and 40.
34. The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is -.
35. Three pipes of same capacity can fill a tank in 8 hours. If there are only two pipes of same capacity, the tank can be filled in.
36. Two cars P and Q start at the same time from A and B which are 120 km apart. If the two cars travel in opposite directions, they meet after one hour and if they travel in same direction (from A towards B), then P meets Q after 6 hours. What is the speed of car P?
37. The radius of the base of cone is 3 cm and height is 4 cm. Find the volume of the cone?
38. Thirty men can do a work in 24 days. In how many days can 20 men can do the work, given that the time spent per day is increased by one-third of the previous time?
39. Find the compound interest accrued on an amount of Rs.14,800 at 13.5% p.a at the end of two years. (Round off your answer to nearest integer)
40. The average of first 10 odd numbers is?
41. A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. IN what ratio will the profit be shared at the end of 3 years?
42. 6 - [5/6 + {3 7/8 - 2 1/3 + 1 7/9}] = ?
43. A and B’s salaries together amount to Rs. 2,000. A spends 95% of his salary and B spends 85% of his. If now their savings are the same, what is A’s salary?
44. Find the average of all the numbers between 6 and 34 which are divisible by 5.
45. If a : b = 4 : 1, then find (a - 3b)/(2a - b).
46. - 84 * 29 + 365 = ?
47. (22 * 495 + 891 * 44) / (33 * 176 + 55 * 264) = ?
48. The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
49. If A:B:C = 2:3:4, then A/B : B/C : C/A is equal to:
50. A, B and C invests Rs.2000, Rs.3000 and Rs.4000 in a business. After one year A removed his money; B and C continued the business for one more year. If the net profit after 2 years be Rs.3200, then A's share in the profit is?