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1. 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?
2. A shopkeeper sells 20% of his stock at 10% profit ans sells the remaining at a loss of 5%. He incurred an overall loss of Rs. 400. Find the total worth of the stock?
3. If the cost price of 12 pens is equal to the selling price of 8 pens, the gain percent is:
4. I. x^{2} + 11x + 30 = 0, II. y^{2} + 15y + 56 = 0 to solve both the equations to find the values of x and y?
5. Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
6. A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
7. 9 3/4 + 7 2/17 - 9 1/15 = ?
8. A train can travel 50% faster than a car. Both start from point A at the same time and reach point B at 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is?
9. 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.
10. A man saves 20% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 20%, he is only able to save Rs. 200 per month. What is his monthly salary?
11. A sum of money triples itself in twelve years at simple interest. Find the rate of interest?
12. The least square number which divides 8, 12 and 18 is?
13. Divide Rs. 2379 into 3 parts so that their amounts after 2, 3 and 4 years respectively may be equal, the rate of interest being 5% per annum at simple interest. The first part is?
14. Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full is?
15. In a pair of fractions, fraction A is twice the fraction B and the product of two fractions is 2/25. What is the value of fraction A?
16. Some pens are divided among A, B, C and D. A gets twice the number of pens that B gets. C gets the same number of pens as D gets. If A gets 25 pens more than D and the ratio of the number of pens that B and C get is 2 : 3, then find the number of pens that D gets ?
17. (a^{-3} b^{-2} / a^{2} b^{2})^{-3} * (a^{3} b^{-4} / a^{-3} b^{3}) / (a^{-2} b^{3}/a^{-4} b^{-3}) = ?
18. The sides of a triangle are in the ratio 5: 12: 13 and its perimeter is 300 m, its area is?
19. If the cost price of 50 articles is equal to the selling price of 40 articles, then the gain or loss percent is?
20. Convert the 13/36 m/s into kilometers per hour?
21. X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?
22. A man traveled a total distance of 1800 km. He traveled one-third of the whole trip by plane and the distance traveled by train is three-fifth of the distance traveled by bus. If he traveled by train, plane and bus, then find the distance traveled by bus?
23. Two trains of equal lengths are running at speeds of 30 kmph and 60 kmph. The two trains crossed each other in 30 seconds when travelling in opposite direction. In what time will they cross each other when travelling in the same direction?
24. An amount of Rs. 100000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/4 %, then the amount invested in each share was?
25. A rectangular field has area equal to 150 sq m and perimeter 50 m. Its length and breadth must be?
26. The average of first five prime numbers greater than 20 is?
27. A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?
28. A person takes 20 minutes more to cover a certain distance by decreasing his speed by 20%. What is the time taken to cover the distance at his original speed?
29. In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?
30. A certain number when divided by 45 leaves a remainder 31, what is the remainder if the same number be divided by 15?
31. How long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length?
32. 106 * 106 - 94 * 94 = ?
33. The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is:
34. Income and expenditure of a person are in the ratio 5:4. If the income of the person is Rs.18000, then find his savings?
35. A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 1/3 hours to fill the tank. The leak can drain all the water of the tank in?
36. The numerator of a certain fraction is 8 less than the denominator. If 3 is added to the numerator and 3 is subtracted from the denominator, the fraction becomes 3/4. Find the original fraction?
37. Ravi invested certain amount for two rates of simple interests at 6% p.a. and 7% p.a. What is the ratio of Ravi's investments if the interests from those investments are equal?
38. In each of the following numbers, what should be the missing digit in the indicated place such that the number is a multiple of 11?
39. A salt manufacturing company produced a total of 5000 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year?
40. 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?
41. The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is:
42. There are four prime numbers written in ascending order of magnitude. The product of the first three is 7429 and of the last three is 12673. Find the fourth number?
43. In an examination 40% failed in Hindi, 45% failed in English. If 25% students failed in both the subjects. Then the percentage of failed students is?
44. A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
45. The C.I. on a certain sum for 2 years Rs.41 and the simple interest is Rs.40. What is the rate percent?
46. Find the one which does not belong to that group ?
47. (1000)^{9}/10^{24} = ?
48. Twenty four men can do a work in 35 days. How many men are required to complete the work in 21 days?
49. The product of two successive numbers is 4556. Which of the following is the larger of the two numbers?
50. A and B can finish a work in 16 days while A alone can do the same work in 24 days. In how many days B alone will complete the work?