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1. 125^{2} * 2^{3} + 35000 = (?)^{2}
2. When 2 is added to half of one-third of one-fifth of a number, the result is one-fifteenth of the number. Find the number?
3. 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 -.
4. A contractor undertakes to complete the construction of a tunnel 720 meters long in 240 days and employs 60 men for the purpose. After 120 days, he finds that only 240 meters of the tunnel is complete. How many more men should be employ in order to complete the work in time?
5. Three 6 faced dice are thrown together. The probability that all the three show the same number on them is -.
6. What percent of 120 are 90?
7. Find the one which does not belong to that group ?
8. The simple interest on a sum of money will be Rs.600 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
9. If the sides of two cubes are in the ratio 3: 1 the ratio of their total surface area is?
10. (17^{14} * 17^{16}) / 17^{-8} = ?
11. 150 men consume 1050 kg of rice in 30 days. In how many days will 70 men consume 980 kg of rice?
12. 7394 - 1236 - 4652 = ?
13. The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
14. A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is?
15. The difference between simple interest and C.I. at the same rate for Rs.5000 for 2 years in Rs.72. The rate of interest is?
16. After working for 6 days, Ashok finds that only 1/3 rd of the work has been done. He employs Ravi who is 60% as efficient as Ashok. How many days more would Ravi take to complete the work?
17. 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?
18. A train 100 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?
19. Find the number of factors of 300 excluding 1 and itself.
20. I. x^{2} + 9x + 20 = 0, II. y^{2} + 5y + 6 = 0 to solve both the equations to find the values of x and y?
21. What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years?
22. A heap of stones can be made up into groups of 21. When made up into groups of 16, 20, 25 and 45 there are 3 stones left in each case. How many stones at least can there be in the heap?
23. The average marks in mathematics scored by the pupils of a school at the public examination were 39. If four of these pupils who actually scored 5, 12, 15 and 19 marks at the examination had not been sent up, the average marks for the school would have been 44. Find the number of pupils sent up for examination from the school?
24. I. a^{2} - 13a + 42 = 0, II. b^{2} - 15b + 56 = 0 to solve both the equations to find the values of a and b?
25. The ratio between the present ages of P and Q is 6:7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years?
26. [10 + {4 * ({2/3 + 1/4} * √144/121 + 23) ÷ 12 + 5} - 3] = ?
27. Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
28. How many minimum number's of whole square slabs are required for paving the floor 12.96 meters long and 3.84 meters side?
29. Tanya's grandfather was 8 times older to her 16 years ago. He would be 3 times of her age 8 years from now. Eight years ago, what was the ratio of Tanya's age to that of her grandfather?
30. A certain sum becomes Rs. 20720 in four years and 24080 in six years at simple interest. Find sum and rate of interest?
31. .
32. The weights of three boys are in the ratio 4 : 5 : 6. If the sum of the weights of the heaviest and the lightest boy is 45 kg more than the weight of the third boy, what is the weight of the lightest boy?
33. The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?
34. A person covered one-fourth of the total distance at 26 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
35. The height of two right circular cones are in the ratio 1:2 and their perimeters of their bases are in the ratio 3:4, the ratio of their volume is?
36. Two cars P and Q start at the same time from A and B which are 120 km apart. If the two cars travel in opposite directions, they meet after one hour and if they travel in same direction (from A towards B), then P meets Q after 6 hours. What is the speed of car P?
37. 7 2/5 of 110 / ? = 844
38. Find the one which does not belong to that group ?
39. An article was sold after a discount of 20% and there was a gain of 20%. If the profit made on it was Rs. 6 less than the discount offered on it, find its selling price?
40. Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?
41. 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?
42. P is three times as fast as Q and working together, they can complete a work in 12 days. In how many days can Q alone complete the work?
43. A certain number when divided by 45 leaves a remainder 31, what is the remainder if the same number be divided by 15?
44. How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
45. Subtracting 30 from a number, the remainder is one fourth of the number. Find the number?
46. 2222.2 + 222.22 + 22.222 = ?
47. 6.4 * 1.25 = (?)^{3}
48. Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is -.
49. If the sum of one-half of a number exceeds one-third of that number by 7 1/3, the number is:
50. A and B invests Rs.3000 and Rs.4000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?