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1. A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?
2. A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
3. The area of a triangle is with base 4m and height 5m?
4. A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2460?
5. P is three times as fast as Q and working together, they can complete a work in 12 days. In how many days can Q alone complete the work?
6. (0.456 * 0.456 - 0.228 * 0.228) / (0.456 + 0.228) = ?
7. The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?
8. Rajan got married 8 years ago. His present age is 6/5 times his age at the time of his marriage. Rajan's sister was 10 years younger to him at the time of his marriage. The age of Rajan's sister is:
9. The weights of three boys are in the ratio 4 : 5 : 6. If the sum of the weights of the heaviest and the lightest boy is 45 kg more than the weight of the third boy, what is the weight of the lightest boy?
10. Find the one which does not belong to that group ?
11. 8988 / 8 / 4 = ?
12. A certain sum becomes four times itself at simple interest in eight years. In how many years does it become ten times itself?
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. How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?
15. A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
16. 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 rest which is Rs. 14. Find the total amount they initially had with them?
17. Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is:
18. What sum of money put at C.I amounts in 2 years to Rs.8820 and in 3 years to Rs.9261?
19. The cost of 10 kg of apples is equal to the cost of 24 kg of rice. The cost of 6 kg of flour equals the cost of 2 kg of rice. The cost of each kg of flour is Rs.20.50. Find the total cost of 4 kg of apples, 3 kg of rice and 5 kg of flour?
20. A thief goes away with a SANTRO car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start?
21. What is the least number, which is perfect square but contains 2700 as its factor?
22. The surface of a cube is 24sq cm. Find its volume?
23. 6.4 * 1.25 = (?)^{3}
24. The average of 9 observations was 9, that of the 1^{st} of 5 being 10 and that of the last 5 being 8. What was the 5^{th} observation?
25. If 3^{4m+1} = 3^{7m-5}, solve for m.
26. A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
27. The simple interest accrued on an amount of Rs.49500 at he end of three is Rs.17820. What would be the compound interest accured on the same amount at teh same rate in the same period? (Round off your answer to two decimal places)
28. If 12 men or 20 women can do a piece of work in 54 days, then in how many days can 9 men and 12 women together do the work?
29. A is a working partner and B is a sleeping partner in the business. A puts in Rs.15000 and B Rs.25000, A receives 10% of the profit for managing the business the rest being divided in proportion of their capitals. Out of a total profit of Rs.9600, money received by A is?
30. A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in?
31. A number consists of 3 digit whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:
32. A team of eight entered for a shooting competition. The best marks man scored 85 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score?
33. Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is?
34. At what rate percent on simple interest will Rs.750 amount to Rs.900 in 5 years?
35. The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages.
36. What is the least number to be subtracted from 11, 15, 21 and 30 each so that the resultant numbers become proportional?
37. Find the size of the largest square slabs which can be paved on the floor of a room 5 meters 44 cm long and 3 meters 74 cm broad?
38. 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?
39. What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high?
40. Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
41. If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?
42. Simplify : (y^{4b-a} . y^{4c-b} . y^{4a-c}) / (y^{a} . y^{b} . y^{c})^{3}
43. Find the average of the series : 312, 162, 132, 142 and 122?
44. A person purchases 90 clocks and sells 40 clocks at a gain of 10% and 50 clocks at a gain of 20%. If he sold all of them at a uniform profit of 15%, then he would have got Rs. 40 less. The cost price of each clock is:
45. Three cubes of metal whose edges are 9, 12 and 15 cm respectively, are melted and one new cube is made. Find the edge of the new cube?
46. The difference between a two-digit number and the number obtained by interchanging the digit is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1:2?
47. A and B can do a work in 12 days, B and C in 30 days and C and A in 36 days. In how many days will the work be completed, if all three of them work together?
48. What is the least number to be subtracted from 11, 15, 21 and 30 each so that resultant numbers become proportional?
49. Visitors to show were charged Rs.15 each on the first day. Rs.7.50 on the second day, Rs.2.50 on the third day and total attendance on the three days were in ratio 2:5:13 respectively. The average charge per person for the whole show is?
50. On an order of 5 dozen boxes of a consumer product, a retailer receives an extra dozen free. This is equivalent to allowing him a discount of: