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1. The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions.
2. How long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length?
3. How many figures are required for numbering the pages of a book containing 1000 pages?
4. On the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. On the particular day 360 children were absent and as a result each child got two extra bananas. Find the actual number of children in the school?
5. 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?
6. If 30% of a number exceeds 20% of it by 18, then find the number?
7. The ratio of the cost price and the selling price is 4:5. The profit percent is:
8. A man on tour travels first 160 km at 64 km/he and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is?
9. Find the average of all the numbers between 6 and 34 which are divisible by 5.
10. The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?
11. At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.20000?
12. A certain sum of money at simple interest amounted Rs.840 in 10 years at 3% per annum, find the sum?
13. 43% of 784 = ?
14. 5 men and 12 boys finish a piece of work in 4 days, 7 men and 6 boys do it in 5 days. The ratio between the efficiencies of a man and boy is?
15. A is a working partner and B is a sleeping partner in the business. A puts in Rs.15000 and B Rs.25000, A receives 10% of the profit for managing the business the rest being divided in proportion of their capitals. Out of a total profit of Rs.9600, money received by A is?
16. Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
17. A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is -.
18. A paper is in a square form whose one side is 20 cm. Two semi circles are drawn on its opposites as diameters. If these semi circles are cut down what is the area of the remaining paper?
19. What is the area of square field whose side of length 15 m?
20. A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?
21. [(62.25/2.5) + (12.5/0.5)] / [(0.75 * 9) + (3.5 * 3.5)] = ?
22. By how much is 3/5th of 875 greater than 2/3 of 333?
23. 15 binders can bind 1400 books in 21 days. How many binders will be required to bind 1600 books in 20 days?
24. If A:B:C = 2:3:4, then A/B : B/C : C/A is equal to:
25. Simplify : 1 - {1 + (a^{2} - 1)^{-1}}^{-1}
26. Rs.8000 become Rs.9261 in a certain interval of time at the rate of 5% per annum of C.I. Find the time?
27. 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?
28. A sum of money placed at C.I. interest doubles itself in 5 years. It will amount to eight times itself at the same rate of interest in?
29. A train 100 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?
30. A and B can finish a work in 16 days while A alone can do the same work in 24 days. In how many days B alone will complete the work?
31. Two pipes A and B can separately fill a cistern in 60 min and 75 min respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 min. In how much time, the third pipe alone can empty the cistern?
32. Find out the C.I on Rs.5000 at 4% p.a. compound half-yearly for 1 1/2 years.
33. 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?
34. Simplify: y^{p(q - r)} . y^{q(r - p)} . y^{r(p - q)}
35. The diagonals of a rhombus are 15 cm and 20 cm. Find its area?
36. Solve the equation for x : 19(x + y) + 17 = 19(-x + y) - 21
37. In a 1000 m race, A beats B by 200 meters or 25 seconds. Find the speed of B?
38. 7 2/5 of 110 / ? = 844
39. A can do a piece of work in 10 days. He works at it for 4 days and then B finishes it in 9 days. In how many days can A and B together finish the work?
40. The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is:
41. {20 - [7 - (3 -2)] + 1/3 (4.2)} / 1.4 = ?
42. The base of a right triangle is 8 and hypotenuse is 10. Its area is?
43. 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%?
44. A trader sells 85 meters of cloth for Rs. 8925 at the profit of Rs. 15 per metre of cloth. What is the cost price of one metre of cloth?
45. The sum of the digits of a two-digit number is 12. The difference of the digits is 6. Find the number?
46.
Find the smallest number which when increased by 5, divisible by 6, 9, 15, 20 and 24?
47. A car after covering ½ of a journey of 100 km develops engine trouble and later travels at ½ of its original speed. As a result, it arrives 2 hours late than its normal time. What is the normal speed of the car is?
48. What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for four years?
49. A is thrice as efficient as B and is, therefore, able to finish a piece of work 10 days earlier than B. In how many days A and B will finish it together?
50. Ronald and Elan are working on an assignment. Ronald takes 6 hrs to type 32 pages on a computer, while Elan takes 5 hrs to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?