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1. Two varieties of wheat - A and B costing Rs. 9 per kg and Rs. 15 per kg were mixed in the ratio 3 : 7. If 5 kg of the mixture is sold at 25% profit, find the profit made?
2. A bank offers 5% C.I. calculated on half-yearly basis . A customer deposits Rs. 1600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is?
3. Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?
4. The ratio of two numbers is 2:3 and the sum of their cubes is 945. The difference of number is?
5. There are two positive numbers in the ratio 5:8. If the larger number exceeds the smaller by 15, then find the smaller number?
6. A person travels from P to Q a speed of 40 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips?
7. The area of a base of a cone is 30 cm^{2}. If the height of the cone is 6cm, find its volume?
8. What is the remainder when 263251 is divided by 9?
9. A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
10. 24 - [2.4 - {0.24 * 2 - (0.024 - ?)}] = 22.0584
11. Find the one which does not belong to that group ?
12. The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides.
13. if (x + y)/(2x + y) = 4/5, then find (2x + y)/(3x + y) ?
14. If 12 men do a work in 80 days, in how many days will 16 men do it?
15. A certain number successively divided by 2, 5 and 7 leaves remainders 1, 2 and 3 respectively. When the same number is divided by 70, what is the remainder?
16. Two pipes A and B can fill a tank in 15 min and 20 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank?
17. A train 100 m long crosses a platform 125 m long in 15 sec; find the speed of the train?
18. 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%?
19. How many numbers up to 500 are divisible by 23?
20. David invested certain amount in three different schemes. A, B and C with the rate of interest 10% p.a., 12% p.a. and 15% p.a. respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in scheme C was 150% of the amount invested in scheme A and 240% of the amount invested in scheme B, what was the amount invested in scheme B?
21. Two-fifth of one-third of three-seventh of a number is 15. What is 40% of that number?
22. A person was asked to subtract 25% of a number from the original but he subtracted 25 from the number. His answer was 25 more than correct one. What was the original number?
23. In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 172 votes. Find the total number of valid votes?
24. A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
25. If the annual rate of simple interest increases from 10% to 12 1/2 %, a man's yearly income increases by Rs. 1250. His principal in Rs. is?
26. The ratio of the area of a square to that of the square drawn on its diagonal is?
27. Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes?
28. The radius of the two circular fields is in the ratio 3: 5 the area of the first field is what percent less than the area of the second?
29. Find the one which does not belong to that group ?
30. If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in cm^{2}) is?
31. A certain sum of money is divided among A, B and C so that for each Rs. A has, B has 65 paisa and C 40 paisa. If C's share is Rs.40, find the sum of money?
32. 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?
33. Two trains travelling in the same direction at 40 and 22 kmph completely pass off another in 1 minute. If the length of the first train is 125 m, what is the length of the second train?
34. The greatest ratio out of 2:3, 5:4, 3:2 and 4:5 is?
35. A person was asked to state his age in years. His reply was, "Take my age three years hence, multiply it by 3 and then subtract three times my age three years ago and you will know how old I am." What was the age of the person?
36. 2003 * 2004 - 2001 * 2002 = ?
37. The product of two successive numbers is 4556. Which of the following is the larger of the two numbers?
38. At what rate percent on simple interest will Rs.750 amount to Rs.900 in 5 years?
39. The H.C.F of two numbers is 8. Which of the following can never be their L.C.M?
40. A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?
41. (815 / ?) / 100 * 28 * 3 - (815 * 14 * 6)/100 = 1680
42. Two pipes A and B can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 4 minutes the cistern was full. In what time can the waste pipe empty the cistern when fill?
43. A garrison of 400 men had a provision for 31 days. After 28 days 280 persons re-enforcement leave the garrison. Find the number of days for which the remaining ration will be sufficient?
44. A, B and C can do a work in 7 , 14 and 21 days respectively. They completed the work and got Rs.242. What is the share of C?
45. 184 * 216 - 81 + 119 / 0.7 = ?
46. A and B can do a piece of work in 3 days, B and C in 4 days, C and A in 6 days. How long will C take to do it?
47. What is the area of a square field whose diagonal of length 20 m?
48. The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8500. If his salary for the month of May is Rs.6500, find his salary for the month of January?
49. 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?
50. The L.C.M of 2^{3} * 3^{2} * 5 and 3^{3} * 5 ^{2} * 2^{3} is.