Time Left: 00:50:00
1. The sides of a cube are in the ratio 1:2 the ratio of their volume is?
2. A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 1/3 hours to fill the tank. The leak can drain all the water of the tank in?
3. Two cylinders are of the same height. Their radii are in the ratio 1: 3. If the volume of the first cylinder is 40 cc. Find the volume of the second cylinder?
4. [8 + {(21 * √9/441 - 1 /5 of 60% - 1/5) * 625 + 7} ÷ 4] = ?
5. A can do a work in 9 days and B can do the same work in 18 days. If they work together, in how many days will they complete the work?
6. The greatest number of four digits that have 144 for their HCF is?
7. Two third of three- fifth of one fourth of a number is 24, what is 30% of that number?
8. Two trains of equal lengths are running at speeds of 30 kmph and 60 kmph. The two trains crossed each other in 30 seconds when travelling in opposite direction. In what time will they cross each other when travelling in the same direction?
9. The simple interest on Rs.12000 at a certain rate of interest in five years is Rs.7200. Find the compound interest on the same amount for five years at the same rate of interest.
10. The successive discounts 20% and 15% are equal to a single discount of?
11. (56^{2} - 24^{2}) * 1/32 + ?% of 1200 = 146
12. The probability that A speaks truth is 3/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
13. Find the one which does not belong to that group ?
14. Rs.160 contained in a box consists of one rupee, 50 paisa and 25 paisa coins in the ratio 4:5:6. What is the number of 25 paisa coins?
15. 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?
16. The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.50 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
17. The sum of three numbers is 98. If the ratio of the first to the second is 2:3. And that of the second to the third is 5:8, then the second number is:
18. The average age 9 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
19. A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?
20. A sum of money triples itself in twelve years at simple interest. Find the rate of interest?
21. The speed of a car is 90 km in the first hour and 60 km in the second hour. What is the average speed of the car?
22. At what rate percent on simple interest will a sum of money double itself in 30 years?
23. What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58?
24. If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same sum at the rate and for the same time?
25. X and Y started a business with capitals Rs. 20000 and Rs. 25000. After few months Z joined them with a capital of Rs. 30000. If the share of Z in the annual profit of Rs. 50000 is Rs. 14000, then after how many months from the beginning did Z join?
26. 1296 ÷ (24 * 0.75) = ?
27. 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?
28. A and B can do a work in 18 day, B and C in 30 days, A and C in 22 (1/2) days. In how many days can A,B and C individually do the work?
29. A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?
30. A shopkeeper buys two articles for Rs.1000 each and then sells them, making 20% profit on the first article and 20% loss on second article. Find the net profit or loss percent?
31. The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
32. If the numerator of a fraction is increased by 20% and its denominator is diminished by 25% value of the fraction is 2/15. Find the original fraction.
33. 217 * 217 + 183 * 183 = ?
34. Solve the equation for x : 6x - 27 + 3x = 4 + 9 - x
35. The third proportional to 1 and 2 is?
36. If p, q and r are positive integers and satisfy x = (p + q - r)/r = (p - q + r)/q = (q + r - p)/p, then the value of x is?
37. A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.50 per kg. What will be his gain percent?
38. Find the smallest four-digit number which is a multiple of 112.
39. A train travelled from station P to Q in 8 hours and came back from station Q to P is 6 hours. What would be the ratio of the speed of the train while traveling from station P to Q to that from station Q to P?
40. The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers?
41. Excluding stoppages, the average speed of a bus is 60 km/hr and including stoppages, the average speed of the bus is 40 km/hr. For how many minutes does the bus stop per hour?
42. The wheels revolve round a common horizontal axis. They make 15, 20 and 48 revolutions in a minute respectively. Starting with a certain point on the circumference down wards. After what interval of time will they come together in the same position?
43. A can do a job in 18 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days?
44. If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is -.
45. In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples?
46. Some persons can do a piece of work in 12 days. Two times the number of these people will do half of that work in?
47. Three persons A, B and C divide a certain amount of money such that A's share is Rs.4 less than half of the total amount. B's share is Rs.8 more than half of what is left and finally C takes the which is Rs.14. Find the total amount they initially had with them?
48. 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?
49. If 3^{4m+1} = 3^{7m-5}, solve for m.
50. The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is -.