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1. 7 + 1/2 of [8 - 4 / 2 * 3 - 1 + 1 + (4 + 2) - 2 * 2] = ?
2. Three number are in the ratio 5:6:7. The sum of its largest and smallest numbers equals the sum of the third number and 48. Find the third number?
3. 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?
4. The least number which when divided by 16, 18 and 21, leave the remainder 3, 5 and 8 respectively is:
5. A dealer purchased an article at 3/4 of its list price and sold 50% more than the list price. Find his gain percent?
6. Find the size of the largest square slabs which can be paved on the floor of a room 5 meters 44 cm long and 3 meters 74 cm broad?
7. A cistern is normally filled in 8 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in?
8. In how many ways can live boys and three girls sit in a row such that all boys sit together?
9. If an article is sold at 19% profit instead of 12% profit, then the profit would be Rs. 105 more. What is the cost price?
10. A car covers a distance of 624 km in 6 ½ hours. Find its speed?
11. The altitude of an equilateral triangle of side 2√3 cm is?
12. Ravi purchased a refrigerator and a mobile phone for Rs. 15000 and Rs. 8000 respectively. He sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 10 percent. Overall he make a.
13. The sum and the product of the roots of the quadratic equation x^{2} + 20x + 3 = 0 are?
14. Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill cistern. How much time will be taken by A to fill the cistern separately?
15. How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9}
16. If A:B = 1/2: 1/3 B:C = 1/2:1/3 then A:B:C?
17. The duplicate ratio of 3:4 is?
18. The difference between the two digit number and the number obtained by interchanging its digits is 54. The difference between the digits is?
19. Two men and three women working 7 hours a day finish a work in 5 days. Four men and four women working 3 hours a day complete the work in 7 days. The number of days in which only 7 men working 4 hours a day will finish the work is?
20. A, B and C can do a piece of work in 24, 30 and 40 days respectively. They start the work together but C leaves 4 days before the completion of the work. In how many days is the work done?
21. Nine men went to a hotel. Eight of them spent Rs.3 each over their meals and the ninth spent Rs.2 more than the average expenditure of all the nine. Determine the total money spent by them?
22. A and B can do a piece of work in 6 2/3 days and 5 days respectively. They work together for 2 days and then A leaves. In how many days after that B will complete the work alone.
23. 2 1/3 + 4 1/6 - 2 2/3 - 1 1/2 = 2 ?/3
24. The sides of a cube are in the ratio 1:2 the ratio of their volume is?
25. Two persons A and B take a field on rent. A puts on it 21 horses for 3 months and 15 cows for 2 months; B puts 15 cows for 6months and 40 sheep for 7 1/2 months. If one day, 3 horses eat as much as 5 cows and 6 cows as much as 10 sheep, what part of the rent should A pay?
26. A man engaged a servant on the condition that he would pay him Rs.710 and a uniform after a year service. He served only for 8 months and got Rs.460 and a uniform. Find the price of the uniform?
27. Find the number of ways of arranging the letters of the word "MATERIAL" such that all the vowels in the word are to come together?
28. How much interest can a person get on Rs. 8200 at 17.5% p.a. simple interest for a period of two years and six months?
29. 1860 + 4/7 of 21.21 - 41.4 = ?
30. The edge of three cubes of metal is 3 dm, 4 dm and 5 dm. They are melted and formed into a single cube. Find the edge of the new cube?
31. Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in?
32. Find the H.C.F of 54/9, 3 9/17 and 36/51?
33. The smallest number which when divided by 20, 25, 35 and 40 leaves a remainder of 14, 19, 29 and 34 respectively is?
34. Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?
35. The G.C.D of 1.08, 0.36 and 0.9 is
36. A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?
37. What percentage of numbers from 1 to 70 have squares that end in the digit 1?
38. A sum of money becomes 7/6 of itself in 3 years at a certain rate of simple interest. The rate per annum is?
39. 3648.24 + 364.824 / ? - 36.4824 = 3794.1696
40. With a uniform speed a car covers the distance in 8 hours. Had the speed been increased by 4 km/hr, the same distance could have been covered in 7 1/2 hours. What is the distance covered?
41. The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
42. 15% of 195 + 14% of 205 = ?
43. Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
44. The sum of the squares of two consecutive positive integers exceeds their product by 91. Find the integers?
45. A can do half the work in one day where as B can do it full. B can also do half the work of C in one day. Ratio in their efficiency will be?
46. If cost of sugar increases by 25%. How much percent consumption of sugar should be decreased in order to keep expenditure fixed?
47. 36 * 48 ÷ 64 + 36 ÷ 12 = ?
48. Find the least number with which 16200 should be multiplied, to make it a perfect cube.
49. 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?
50. A train 100 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?