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1. (49^{2} * 18^{2}) / 324 = ?
2. How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
3. Find the ratio between whole surfaces of a sphere and a hemisphere?
4. Two numbers are 30% and 37% are less than a third number .How much percent is the second number less than the first?
5. The value of (2.75)^{3} - (2.00)^{3} - (0.75)^{3} is
6. A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
7. What amount does Kiran get if he invests Rs.8000 at 10% p.a. compound interest for two years, compounding done annually?
8. [(3.572)^{3} + (2.428)^{3}] / [(3.572)^{2} - (3.572) * (2.428) + (2.428)^{2}] is equal to -.
9. A can do a piece of work in 15 days and B in 20 days. They began the work together but 5 days before the completion of the work, A leaves. The work was completed in?
10. Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.85. How much was lent at 5%?
11. The simple interest on a sum of money is 4/9 of the principal and the number of years is equal to the rate percent. Find the rate and the time?
12. A sum of Rs. 125000 amounts to Rs. 15500 in 4 years at the rate of simple interest. What is the rate of interest?
13. Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 36 kmph. Of how many minutes does the train stop per hour?
14. A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective.
15. A certain sum of money doubles itself in 10 years in how much many years will it trible itself at the same rate?
16. The difference between simple and compound interest on Rs. 1200 for one year at 10% per annum reckoned half-yearly is?
17. A rectangular field 30 m long and 20 m broad. How much deep it should be dug so that from the earth taken out, a platform can be formed which is 8 m long, 5.5 m broad and 1.5 m high where as the earth taken out is increase by 10/5?
18. A man said to his son, "I was two-third of your present age when you were born". If the present age of the man is 48 years, find the present age of the son?
19. The average of 35 students in a class is 16 years. The average age of 21 students is 14. What is the average age of remaining 14 students?
20. A sum of money deposited at C.I. amounts to Rs.2420 in 2 years and to Rs.2662 in 3 years. Find the rate percent?
21. A room is 4 meters 37 cm long and 3 meters 23cm broad. It is required to pave the floor with minimum square slabs. Find the number of slabs required for this purpose?
22. The L.C.M of 2^{3} * 3^{2} * 5 and 3^{3} * 5 ^{2} * 2^{3} is.
23. LCM of 455, 117, 338 is:
24. In what time will Rs.4000 lent at 3% per annum on simple interest earn as much interest as Rs.5000 will earn in 5 years at 4% per annum on simple interest?
25. A certain number of men can do a work in 65 days working 6 hours a day. If the number of men are decreased by one-fourth, then for how many hours per day should they work in order to complete the work in 40 days?
26. A and B can do a piece of work in 6 2/3 days and 5 days respectively. They work together for 2 days and then A leaves. In how many days after that B will complete the work alone.
27. Indu gave Bindu Rs.1250 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
28. [50 - {20 + 60% of (26/13 + 24/12 + 21) - 2} + 8] = 625/?
29. A and B can do a work in 5 days and 10 days respectively. A starts the work and B joins him after 2 days. In how many days can they complete the remaining work?
30. A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
31. The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs.144. Find the principal?
32. The sum of the square of the three consecutive even natural numbers is 1460. Find the numbers?
33. (27^{2}/4^{-3})^{-5/6} = ?
34. What sum of money will produce Rs.70 as simple interest in 4 years at 3 1/2 percent?
35. Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 30% profit?
36. A bag contains equal number of Rs.5, Rs.2 and Re.1 coins. If the total amount in the bag is Rs.1152, find the number of coins of each kind?
37. Find the one which does not belong to that group ?
38. Eight years ago, Ajay's age was 4/3 times that of Vijay. Eight years hence, Ajay's age will be 6/5 times that of Vijay. What is the present age of Ajay?
39. Find the one which does not belong to that group ?
40. 45 men working 8 hours per day dig 30 m deep. How many extra men should be put to dig to a depth of 50 m working 6 hours per day?
41. What is the least number to be subtracted from 11, 15, 21 and 30 each so that resultant numbers become proportional?
42. With a uniform speed a car covers the distance in 8 hours. Had the speed been increased by 4 km/hr, the same distance could have been covered in 7 1/2 hours. What is the distance covered?
43. The incomes of two persons A and B are in the ratio 3:4. If each saves Rs.100 per month, the ratio of their expenditures is 1:2 . Find their incomes?
44. The average of first 10 odd numbers is?
45. Sum of two consecutive even terms lacks by 98 from their product. Find the sum of these numbers?
46. If the price of an article went up by 20%, then by what percent should it be brought down to bring it back to its original price?
47. A cricketer whose bowling average is 12.4 runs per wicket takes 5 wickets for 26 runs and there by decreases his average by 0.4. The number age of the family now is:
48. The S.I. on a certain sum of money for 3 years at 8% per annum is half the C.I. on Rs. 4000 for 2 years at 10% per annum. The sum placed on S.I. is?
49. Find the one which does not belong to that group ?
50. The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is: