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1. A cube of side one meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?
2. 105.126 * 35.201 - 90.23 * 3 + 55.11 * 27.01 = ?
3. A sum of money deposited at C.I. amounts to Rs.2420 in 2 years and to Rs.2662 in 3 years. Find the rate percent?
4. What is the difference between the largest and the smallest number written with 7, 7, 0, 7?
5. A is twice as good a workman as B and they took 7 days together to do the work B alone can do it in.
6. A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
7. What is the difference between the largest number and the least number written with the figures 3, 4, 7, 0, 3?
8. Solve for m if 36 (6^{m}) = (216)^{3m+4}
9. How many figures are required to number the pages the pages of a book containing 365 pages?
10. The simple interest accrued on an amount Rs.10,000 at the end of two years is same as the compound interest on Rs.8,000 at the end of two years. The rate of interest is same in both the cases. What is the rate of interest?
11. .
12. The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is:
13. The ratio between the sale price and the cost price of an article is 7:5. What is the ratio between the profit and the cost price of that article?
14. A certain sum of money doubles itself in 10 years in how much many years will it trible itself at the same rate?
15. A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
16. Sum of two numbers is 80. Greater number exceeds by 5 from four times of the smaller. Find the numbers?
17. If the price of gold increases by 50%, find by how much the quantity of ornaments must be reduced, so that the expenditure may remain the same as before?
18. The diameters of two spheres are in the ratio 1:2 what is the ratio of their surface area?
19. The least square number which divides 8, 12 and 18 is?
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. 9000 + 16 2/3 % of ? = 10500
22. In what time a sum of money double itself at 3% per annum simple interest?
23. A shopkeeper sells 400 metres of cloth for Rs. 18000 at a loss of Rs.5 per metre. Find his cost price for one metre of cloth?
24. Rs.2500 is divided into two parts such that if one part be put out at 5% simple interest and the other at 6%, the yearly annual income may be Rs.140. How much was lent at 5%?
25. The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
26. Rajan got married 8 years ago. His present age is 6/5 times his age at the time of his marriage. Rajan's sister was 10 years younger to him at the time of his marriage. The age of Rajan's sister is:
27. The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
28. Twelve men can complete a piece of work in 32 days. The same work can be completed by 16 women in 36 days and by 48 boys in 16 days. Find the time taken by one man, one woman and one boy working together to complete the work?
29. Express 25 mps in kmph?
30. Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
31. In a hostel there were 100 students. To accommodate 20 more students the average is decreased by rupees 5. But total expenditure increased by Rs.400. Find the total expenditure of the hostel now?
32. In digging a pond 20 m * 10 m * 5 m the volumes of the soil extracted will be?
33. A garrison of 400 men had a provision for 31 days. After 28 days 280 persons re-enforcement leave the garrison. Find the number of days for which the remaining ration will be sufficient?
34. Twenty times a positive integer is less than its square by 96. What is the integer?
35. How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9}
36. Convert the 13/36 m/s into kilometers per hour?
37. 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.
38. In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?
39. A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum of the profits of B and C. Find the total profit.
40. In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected?
41. The average age of three boys is 15 years and their ages are in proportion 3:5:7. What is the age in years of the youngest boy?
42. I. a^{2} - 7a + 12 = 0, II. b^{2} - 3b + 2 = 0 to solve both the equations to find the values of a and b?
43. The perimeter of a semi circle is 144 cm then the radius is?
44. The food in a camp lasts for 30 men for 40 days. If ten more men join, how many days will the food last?
45. A and B put in Rs.300 and Rs.400 respectively into a business. A reinvests into the business his share of the first year's profit of Rs.210 where as B does not. In what ratio should they divide the second year's profit?
46. 96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
47. 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?
48. 31.2 * 14.5 * 9.6 = ?
49. Using all the letters of the word "NOKIA", how many words can be formed, which begin with N and end with A?
50. A cricketer has a certain average for 10 innings. In the eleventh inning, he scored 108 runs, there by increasing his average by 6 runs. His new average is: