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1. The sum of the square of the three consecutive even natural numbers is 1460. Find the numbers?
2. Two tests had the same maximum mark. The pass percentages in the first and the second test were 40% and 45% respectively. A candidate scored 216 marks in the second test and failed by 36 marks in that test. Find the pass mark in the first test?
3. The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 40 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam.
4. Simplify the following:
5. In a colony of 70 residents, the ratio of the number of men and women is 4:3. Among the women, the ratio of the educated to the uneducated is 1:4. If the ratio of the number of education to uneducated persons is 8:27, then find the ratio of the number of educated and uneducated men in the colony?
6. 25% of 30% of 45% is equal to?
7. Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
8. Two cylinders are of the same height. Their radii are in the ratio 1: 3. If the volume of the first cylinder is 40 cc. Find the volume of the second cylinder?
9. 10 camels cost as much as 24 horses, 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants. If the cost of 10 elephants is Rs.170000, find the cost of a camel?
10. 40% of Ram's marks is equal to 20% of Rahim's marks which percent is equal to 30% of Robert's marks. If Robert's marks is 80, then find the average marks of Ram and Rahim?
11. 6 - [5/6 + {3 7/8 - 2 1/3 + 1 7/9}] = ?
12. 2 1/3 + 4 1/6 - 2 2/3 - 1 1/2 = 2 ?/3
13. A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
14. A shopkeeper buys two articles for Rs.1000 each and then sells them, making 20% profit on the first article and 20% loss on second article. Find the net profit or loss percent?
15. 85% of a number is added to 24, the result is the same number. Find the number?
16. The salary of Mr. X is 30% more than that of Mr. Y . Find what percent of Mr. Y’s salary is less than Mr. X’s?
17. A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
18. A certain amount earns simple interest of Rs. 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned?
19. What is the difference between the largest number and the least number written with the digits 7, 3, 1, 4?
20. If 3^{4m+1} = 3^{7m-5}, solve for m.
21. The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?
22. The base of a right triangle is 8 and hypotenuse is 10. Its area is?
23. A and B together can do a work in 6 days. If A alone can do it in 15 days. In how many days can B alone do it?
24. How much 60% of 50 is greater than 40% of 30?
25. In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 5:6:2. If there are in all Rs.42, the number of 25 paisa coins is?
26. Find the greatest number which will divide 25, 73 and 97 as so to leave the same remainder in each case?
27. A number consists of two digits. If 3/5 of 1/5 of the number is 9. Find the sum of its two digits?
28. How many meters of carpet 50cm, wide will be required to cover the floor of a room 30m * 20m?
29. Two same glasses are respectively 1/4th 1/5th full of milk. They are then filled with water and the contents mixed in a tumbler. The ratio of milk and water in the tumbler is?
30. A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good.
31. Which of the following is the greatest?
32. A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.18000. A's share is?
33. If cost of sugar increases by 25%. How much percent consumption of sugar should be decreased in order to keep expenditure fixed?
34. The volume of a cube is 1728 cc. Find its surface.
35. If the perimeter of a rectangular garden is 600 m, its length when its breadth is 100 m is?
36. 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?
37. LCM of 455, 117, 338 is:
38. The sum of the present ages of father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be:
39. The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is -.
40. 10 books are placed at random in a shelf. The probability that a pair of books will always be together is -.
41. A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
42. Find the one which does not belong to that group ?
43. The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child?
44. Find the least number when successively divided by 2, 3 and 7 leaves remainders 1, 2 and 3 respectively?
45. If Re.1 amounts to Rs.9 over a period of 20 years. What is the rate of simple interest?
46. A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 3x km.
47. [(7 * 9) + (2 * 12) + 3]/[(12 * 3) + (81/9)] = ?
48. Find the one which does not belong to that group ?
49. By how much is 3/5th of 875 greater than 2/3 of 333?
50. The cost of 2 chairs and 3 tables is Rs.1300. The cost of 3 chairs and 2 tables is Rs.1200. The cost of each table is more than that of each chair by?