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1. The length of each side of an equilateral triangle having an area of 4√3 cm2 is?
2. A wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6 : 5. What is the area of the rectangle?
3. By mixing two brands of tea and selling the mixture at the rate of Rs. 177 per kg. a shopkeeper makes a profit of 18%. If to every 2 kg of one brand costing Rs. 200 per kg, 3 kg of the other brand is added, then how much per kg does the other brand cost?
4. Salaries of Ravi and Sumit are in the ratio 2:3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40:57. What is Sumit's present salary?
5. The edges of cuboid are 4 cm; 5 cm and 6 cm. Find its surface area?
6. David invested certain amount in three different schemes. A, B and C with the rate of interest 10% p.a., 12% p.a. and 15% p.a. respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in scheme C was 150% of the amount invested in scheme A and 240% of the amount invested in scheme B, what was the amount invested in scheme B?
7. The average of 35 numbers is 25. If each number is multiplied by 5, find the new average?
8. 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?
9. 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?
10. Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?
11. Find the one which does not belong to that group ?
12. The ratio of 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?
13. Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. In how much time will the trains cross each other?
14. A certain sum becomes Rs. 20720 in four years and 24080 in six years at simple interest. Find sum and rate of interest?
15. Find the one which does not belong to that group ?
16. If 12 men and 16 boys can do a piece of work in 5 days and 13 men together will 24 boys can do it in 4 days. Compare the daily work done by a man with that of a boy.
17. Ram professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?
18. Simplify : 1 - {1 + (a2 - 1)-1}-1
19. 64 is what percent of 80?
20. A person travels equal distances with speeds of 3 km/hr, 4 km/hr and 5 km/hr and takes a total time of 47 minutes. The total distance is?
21. Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?
22. 125 liters of a mixture of milk and water contains in the ratio 3:2. How much water should now be added so that the ratio of milk and water becomes 3:4?
23. If cost of sugar increases by 25%. How much percent consumption of sugar should be decreased in order to keep expenditure fixed?
24. A and B started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
25. Excluding stoppages, the speed of a bus is 54 km/hr and including stoppages, it is 45 km/hr. For how many minutes does the bus stop per hour?
26. Two numbers have a H.C.F of 16 and a product of two numbers is 2560. Find the L.C.M of the two numbers?
27. The product of two numbers is 2028 and their H.C.F is 13. The number of such pairs is:
28. 96% of the population of a village is 23040. The total population of the village is?
29. Rahim bought 65 books for Rs.1150 from one shop and 50 books for Rs.920 from another. What is the average price he paid per book ?
30. ? % of 400 + 40% of 160 = 17% of 400
31. The G.C.D of 1.08, 0.36 and 0.9 is
32. If population of certain city increases at the rate of 5%. If population in 1981 was 138915, then population in 1978 was?
33. A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4 liters per minute. When the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours. The capacity of the tank is?
34. A number when divided by 221 gives a remainder 43, what remainder will be obtained by dividing the same number 17?
35. Express a speed of 36 kmph in meters per second?
36. A man can row downstream at 18 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
37. A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?
38. 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?
39. Indu gave Bindu Rs.1250 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
40. (a-3 b-2 / a2 b2)-3 * (a3 b-4 / a-3 b3) / (a-2 b3/a-4 b-3) = ?
41. 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?
42. What is the probability that a leap year has 53 Sundays and 52 Mondays?
43. 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?
44. The average salary per head of the entire staff of an office including the officers and clerks is Rs.90. The average salary of officers is Rs.600 and that of the clerks is Rs.84. If the number of officers is 2, find the number of officers in the office?
45. If A:B:C = 2:3:4, then A/B : B/C : C/A is equal to:
46. The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is:
47. [(3.572)3 + (2.428)3] / [(3.572)2 - (3.572) * (2.428) + (2.428)2] is equal to -.
48. A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
49. A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
50. Find the one which does not belong to that group ?
