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1. In a fort, there are 1200 soldiers. If each soldier consumes 3 kg per day, the provisions available in the fort will last for 30 days. If some more soldiers join, the provisions available will last for 25 days given each soldier consumes 2.5 kg per day. Find the number of soldiers joining the fort in that case?
2. The value of a machine depreciates at 20% per annum. If its present value is Rs. 1,50,000, at what price should it be sold after two years such that a profit of Rs. 24,000 is made?
3. Ramesh purchased a refrigerator for Rs. 12500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 10% if no discount was offered?
4. 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?
5. The slant height of a cone is 12 cm and radius of the base is 4cm, find the curved surface of the cone.
6. A car covers a distance of 624 km in 6 ½ hours. Find its speed?
7. There are four prime numbers written in ascending order of magnitude. The product of the first three is 385 and of the last three is 1001. Find the fourth number?
8. The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 4?
9. Simplify: y^{p(q - r)} . y^{q(r - p)} . y^{r(p - q)}
10. [3/7 of {21 * (33.33% of (27 + 3) ÷ 5) - 7} - 8] = ?
11. The food in a camp lasts for 30 men for 40 days. If ten more men join, how many days will the food last?
12. At what rate percent of simple interest will a sum of money double itself in 12 years?
13. A can do half the work in one day where as B can do it full. B can also do half the work of C in one day. Ratio in their efficiency will be?
14. A is twice as good a work man as B and together they finish the work in 14 days. In how many days A alone can finish the work?
15. If the arithmetic mean of seventy five numbers is calculated, it is 35. If each number is increased by 5, then mean of new number is:
16. The average of first five prime numbers greater than 20 is?
17. Using all the letters of the word "THURSDAY", how many different words can be formed?
18. Find the one which does not belong to that group ?
19. The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?
20. If a : b = 4 : 1, then find (a - 3b)/(2a - b).
21. 0.003 * ? * 0.0003 = 0.00000027
22. By travelling at 40 kmph, a person reaches his destination on time. He covered two-third the total distance in one-third of the total time. What speed should he maintain for the remaining distance to reach his destination on time?
23. Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is?
24. A 270 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?
25. 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?
26. A mixture of 70 litres of milk and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12 1/2% water?
27. A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
28. Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
29. 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:
30. Three 6 faced dice are thrown together. The probability that all the three show the same number on them is -.
31. In how many years does a sum of Rs. 5000 yield a simple interest of Rs. 16500 at 15% p.a.?
32. The C.I. on a certain sum for 2 years at 10% per annum is Rs. 525. The S.I. on the same sum for double the time at half the rate percent per annum is?
33. An amount of Rs.1560 was divided among A, B and C, in the ratio 1/2 : 1/3 : 1/4. Find the share of C?
34. If the height of a cone is increased by 100% then its volume is increased by?
35. Twenty times a positive integer is less than its square by 96. What is the integer?
36. Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?
37. 9 3/4 + 7 2/17 - 9 1/15 = ?
38. H.C.F of 4 * 27 * 3125, 8 * 9 * 25 * 7 and 16 * 81 * 5 * 11 * 49 is:
39. In a 1000 m race, A beats B by 200 meters or 25 seconds. Find the speed of B?
40. The equal amounts of money are deposited in two banks each at 15% per annum for 3.5 years and 5 years respectively. If the difference between their interests is Rs.144, find the each sum?
41. The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A?
42. Sides of a rectangular park are in the ratio 3: 2 and its area is 3750 sq m, the cost of fencing it at 50 ps per meter is?
43. A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
44. The first three terms of a proportion are 3, 9 and 12. The fourth term is?
45. 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?
46. If the perimeter of a rectangular garden is 600 m, its length when its breadth is 100 m is?
47. The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes?
48. Find the one which does not belong to that group ?
49. Find the one which does not belong to that group ?
50. The probability that a number selected at random from the first 50 natural numbers is a composite number is -.