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1. The average of 1^{st} 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 13. What is the last numbers?
2. 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?
3. A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
4. How many cubes of edge 2 dm can be cut out of a meter cube?
5. A man saves 20% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 20%, he is only able to save Rs. 200 per month. What is his monthly salary?
6. The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers?
7. Find the one which does not belong to that group ?
8. If 6 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is:
9. The duplicate ratio of 3:4 is?
10. Which one of the following represents the sum of the first n even numbers?
11. How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 170 m in length?
12. Three 6 faced dice are thrown together. The probability that all the three show the same number on them is -.
13. How many numbers up to 100 and 300 are divisible by 11?
14. The average of first 10 natural numbers is?
15. In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
16. A sum of money triples itself in twelve years at simple interest. Find the rate of interest?
17. 6 - [5/6 + {3 7/8 - 2 1/3 + 1 7/9}] = ?
18. 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?
19. 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?
20. Two persons A and B take a field on rent. A puts on it 21 horses for 3 months and 15 cows for 2 months; B puts 15 cows for 6months and 40 sheep for 7 1/2 months. If one day, 3 horses eat as much as 5 cows and 6 cows as much as 10 sheep, what part of the rent should A pay?
21. A and B can do a piece of work in 8 days. B and C can do it in 12 days and A and C in 16 days. Working together they will complete the work in how many days?
22. A cylinder and a cone have a same height and same radius of the base. The ratio between the volumes of the cylinder and cone is?
23. What is the sum of all the prime numbers from 20 to 40?
24. 5/8 * 2^{(2/5 - 5/4)} / 1 ^{1/4 } = ?
25. 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:
26. Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
27. Find the least number of complete years in which a sum of money put out at 25% compound interest will be more than double of itself?
28. The slant height of a cone is 12 cm and radius of the base is 4cm, find the curved surface of the cone.
29. The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?
30. Ravi invested certain amount for two rates of simple interests at 6% p.a. and 7% p.a. What is the ratio of Ravi's investments if the interests from those investments are equal?
31. The greatest number of four digits that have 144 for their HCF is?
32. Find the least number of five digits which is exactly divisible by 12, 15 and 18?
33. The proportion of copper and zinc in the brass is 13:7. How much zinc will there be in 100 kg of brass?
34. The ratio between the radii of two spheres is 1:3. Find the ratio between their volumes?
35. Roja and Pooja start moving in the opposite directions from a pole. They are moving at the speeds of 2 km/hr and 3 km/hr respectively. After 4 hours what will be the distance between them?
36. 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?
37. A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
38. Find the least number by which (5^{9})(3^{6})(17) has to be multiplied to obtain a perfect square?
39. In a series of six consecutive even numbers, the sum of the second and sixth numbers is 24. What is the fourth number?
40. 2758 + 20581 - 17889 = ?
41. 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?
42. Jacob brought a scooter for a certain sum of money. He spent 10% of the cost on repairs and sold the scooter for a profit of Rs. 1100. How much did he spend on repairs if he made a profit of 20%?
43. 24 - [2.4 - {0.24 * 2 - (0.024 - ?)}] = 22.0584
44. 421 * 0.9 + 130 * 101 + 10000 = ?
45. Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours. C is closed A and B can fill the remaining par in 7 hours. The number of hours taken by C alone to fill the tank is?
46. Simplify : (y^{4b-a} . y^{4c-b} . y^{4a-c}) / (y^{a} . y^{b} . y^{c})^{3}
47. At an examination in which full marks were 500. A got 10% less than B, B got 25% more than C and C got 20% less than D. If A got 360marks, what percentage of full marks was obtained by D?
48. If goods be purchased for Rs.840 and one-fourth be sold at a loss of 20% at what gain percent should the remainder be sold so as to gain 20% on the whole transaction?
49. The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
50. 106 * 106 - 94 * 94 = ?