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1. (64 + 9 + 9) / (2 * 20 + 1) = ?
2. The average of 35 numbers is 25. If each number is multiplied by 5, find the new average?
3. Two numbers are in the ratio of 5:7. If 25 be subtracted from each, they are in the ratio of 35:59. Find the numbers?
4. Present ages of Sameer and Anand are in the ratio of 5:4 respectively. Three years hence, the ratio of their ages will become 11:9 respectively. What is Anand's present age in years?
5. Find the one which does not belong to that group ?
6. If 12 men or 20 women can do a piece of work in 54 days, then in how many days can 9 men and 12 women together do the work?
7. If 6 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is:
8. {20 - [7 - (3 -2)] + 1/3 (4.2)} / 1.4 = ?
9. A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 25 m * 2 m * 0.75 m?
10. A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of C in a total profit of Rs.7400.
11. 6 2/3 * 9 3/5 * 2 1/3 + 1 1/3 = ?
12. A building contractor employs 20 male, 15 female and 5 child workers. To a male worker he pays Rs.25 per day, to a female worker Rs.20 per day and a child worker Rs.8 per day. The average wage per day paid by the contractor is?
13. (180/37 of 14.8) / (17/60.1 of 180.30) = ?
14. Solve for m if 3(√3)^{m+4} = (√3)^{2m+7}
15. A can do a piece of work in 20 days. B in 15 days A and C in 12 days. In how many days can A finish the work if he is assisted by B on one day and C on the next, alternately?
16. 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?
17. Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is?
18. The ratio of the two natural numbers is 5 : 6. If a certain number is added to both the numbers, the ratio becomes 7 : 8. If the larger number exceeds the smaller number by 10, find the number added?
19. x varies inversely as square of y. Given that y = 2 for x = 1. The value of x for y = 6 will be equal to:
20. 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?
21. 10 books are placed at random in a shelf. The probability that a pair of books will always be together is -.
22. A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.482 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum.
23. I. a^{2} + 8a + 16 = 0, II. b^{2} - 4b + 3 = 0 to solve both the equations to find the values of a and b?
24. 184 * 216 - 81 + 119 / 0.7 = ?
25. The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?
26. If the sum of one-half of a number exceeds one-third of that number by 7 1/3, the number is:
27. Peter invested an amount of Rs. 12,000 at the rate of 10% p.a simple interest and another amount at the rate of 20% p.a. simple interest. The total interest earned at the end of one year on the total amount invested became 14% p.a. Find the total amount invested?
28. A sum of money invested at C.I. amounts to Rs. 800 in 3 years to Rs. 840 in 4 years. The rate of interest per annum is?
29. Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?
30. 12(13/18) + 16(11/27) - 10(5/9) = ?
31. A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
32. A bag contains equal number of Rs.5, Rs.2 and Re.1 coins. If the total amount in the bag is Rs.1152, find the number of coins of each kind?
33. 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:
34. In a mixture of 60 liters, the ratio of milk and water is 2:1. What amount of water must be added to make the ratio of milk and water as 1:2?
35. A is half good a work man as B and together they finish a job in 14 days. In how many days working alone B finish the job?
36. The length and breadth of a rectangle is increased by 10% and 25% respectively. What is the increase in the area?
37. The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 50% profit?
38. A man leaves a point P at 6 a.m. and reaches the point Q at 10 a.m. another man leaves the point give at 8 a.m. and reaches the point P at 12 noon. At what time do they meet?
39. A train 100 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?
40. A bank offers 5% C.I. calculated on half-yearly basis . A customer deposits Rs. 1600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is?
41. 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 -.
42. Which of the following is the greatest?
43. A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
44. Find the one which does not belong to that group ?
45. In a school of 850 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
46. What is the least number, which is perfect square but contains 2700 as its factor?
47. I. a^{3} - 988 = 343, II. b^{2} - 72 = 49 to solve both the equations to find the values of a and b?
48. A money lender finds that due to a fall in the annual rate of interest from 8% to 7 3/4 % his yearly income diminishes by Rs. 61.50, his capital is?
49. If Re.1 amounts to Rs.9 over a period of 20 years. What is the rate of simple interest?
50. Seats for Mathematics, Physics and Biology in a school are in the ratio 5:7:8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?