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1. A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?
2. A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is?
3. A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
4. What is the area of a square field whose diagonal of length 20 m?
5. The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is:
6. The total marks obtained by a student in Physics, Chemistry and Mathematics is 150 more than the marks obtained by him in Physics. What is the average mark obtained by him in Chemistry and Mathematics?
7. An engineering student has to secure 36% marks to pass. He gets 130 marks and fails by 14 marks. The maximum No. of marks obtained by him is?
8. Ram's age and Shyam's age are in the ratio 3:4. Seven years ago the ratio of their ages was 2:3. Find the ratio of their ages five years hence?
9.
The smallest number when increased by " 1 " is exactly divisible by 12, 18, 24, 32 and 40 is:
10. 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?
11. Sreedhar and Sravan together can do a work in 25 days. With the help of Pavan, they completed the work in 8 days and earned Rs. 225. What is the share of Sravan, if Sreedhar alone can do the work in 75 days?
12. - 84 * 29 + 365 = ?
13. 6 - [5/6 + {3 7/8 - 2 1/3 + 1 7/9}] = ?
14. A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?
15. The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
16. The average age of a group of 10 persons was decreased by 3 years when one person, whose age was 42 years, was replaced by a new person. Find the age of the new person?
17. The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is:
18. Ratio of the earnings of A and B is 4:7. If the earnings of A increases by 50% and those of B decreased by 25%, the new ratio of their earnings becomes 8:7. What are A's earnings?
19. A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4 of a day?
20. The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
21. In a series of six consecutive even numbers, the sum of the second and sixth numbers is 24. What is the fourth number?
22. Find the smallest four-digit number which is a multiple of 112.
23. The ratio between the present ages of P and Q is 6:7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years?
24. A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?
25. A fort of 2000 soldiers has provisions for 50 days. After 10 days some of them left and the food was now enough for the same period of 50 days as before. How many of them left?
26. If three eighth of a number is 141. What will be the approximately value of 32.08% of this number?
27. Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
28. Find the length of the wire required to go 15 times round a square field containing 69696 m^{2}.
29. 1: 3 = 1 2/3: x. The value of x is?
30. 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. What is the total distance traveled by the man?
31. 3.5 can be expressed in terms of percentage as?
32. 96% of the population of a village is 23040. The total population of the village is?
33. Find the H.C.F of 12, 16, 18 and 24?
34. Product of two co-prime numbers is 117. Their L.C.M should be:
35. 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?
36. Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
37. At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price?
38. If a : b = 4 : 1, then find (a - 3b)/(2a - b).
39. A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
40. (830 + ? * 3 * 14 / 100) - (830 * 14 * 3 / 100) = 20.16
41. The volume of a cube is 1728 cc. Find its surface.
42. 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?
43. What is the greater of the two numbers whose product is 2560, given that the sum of the two numbers exceeds their difference by 64?
44. A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
45. How much more would Rs.20000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
46. In a covering a certain distance, the speeds of A and B are in the ratio of 3:4. A takes 30 minutes more than B to reach the destination. The time taken by A to reach the destination is?
47. What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected?
48. 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?
49. 7 2/5 of 110 / ? = 844
50. Income and expenditure of a person are in the ratio 5 : 4. If the income of the person is Rs. 18000, then find his savings.