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1. A and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days?
2. If 12 men can reap 120 acres of land in 36 days, how many acres of land can 54 men reap in 54 days?
3. A rope of which a calf is tied is increased from 12 m to 23 m, how much additional grassy ground shall it graze?
4. A gardener wants to plant trees in his garden in rows in such away that the number of trees in each row to be the same. If there are 24 rows the number of trees in each row is 42 if there are 12 more rows find the number of trees in each row?
5. The H.C.F and L.C.M of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1:4, then the larger of the two numbers is:
6. Sam invested Rs. 15000 @ 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Sam at the end of the year will be?
7. What should be the least number to be added to the 51234 number to make it divisible by 9?
8. The number of permutations of the letters of the word 'MESMERISE' is_.
9. The compound and the simple interests on a certain sum at the same rate of interest for two years are Rs.11730 and Rs.10200 respectively. Find the sum.
10. How many figures are required for numbering the pages of a book containing 1000 pages?
11. A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?
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12. A can do a piece of work in 10 days and B can do the same work in 12 days. A and B worked together for 2 days. How many more days are required to complete the remaining work if they work together?
13. The ratio of the present ages of Giri and Hari is 5 : 8. 12 years hence, the ratio of their ages will be 11 : 14. Find the difference in their present ages?
14. The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?
15. A library has an average of 510 visitors on Sunday and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is:
16. The sum of two numbers is 22. Five times one number is equal to 6 times the other. The bigger of the two numbers is:
17. 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?
18. A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth?
19. A river 2m deep and 45 m wide is flowing at the rate of 3 kmph the amount of water that runs into the sea per minute is?
20. 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?
21. The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is -.
22. There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle.
23. What is the difference between the largest and the smallest number written with 7, 7, 0, 7?
24. A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A?
25. 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?
26. The average of five results is 46 and that of the first four is 45. The fifth result is?
27. The H.C.F of two numbers is 23 and the other two factors of their L.C.M are 13 and 14. The larger of the two numbers is:
28. Find the roots of quadratic equation: x2 + x - 42 = 0?
29. If a number is subtracted from its square we get 272. Find the number?
30. What is the least number to be subtracted from 696 to make it a perfect square?
31. LCM of 455, 117, 338 is:
32. The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
33. Find the one which does not belong to that group ?
34. 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?
35. Find the greatest number that, while dividing 47, 215 and 365, gives the same remainder in each case?
36. If a: b = 7: 5, b: c = 9: 11, find a: b: c?
37. A man gains 20% by selling an article for a certain price. If the sells it at double the price, the percentage of profit will be:
38. A and B can do a piece of work in 8 days. B and C can do it in 12 days and A and C in 16 days. Working together they will complete the work in how many days?
39. A is faster than B. A and B each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, A's speed is equal to?
40. Three cubes of metal whose edges are 9, 12 and 15 cm respectively, are melted and one new cube is made. Find the edge of the new cube?
41. How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?
42. A heap of coconuts is divided into groups of 2, 3 and 5 and each time one coconut is left over. The least number of Coconuts in the heap is?
43. A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 38 years now, the son's age five years back was:
44. The tax on a commodity is diminished by 20% but its consumption is increased by 10%. Find the decrease percent in the revenue derived from it?
45. Find the roots of quadratic equation: 3x2 - 7x - 6 = 0?
46. A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 75, the runs scored by B are?
47. 32% of 425 - ?% of 250 = 36
48. A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.18000. A's share is?
49. A can do a piece of work in 30 days. He works at it for 5 days and then B finishes it in 20 days. In what time can A and B together it?
50. 109.13 * 34.14 - 108.12 * 33 = ?
