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1. A and B entered into a partnership investing Rs.25000 and Rs.30000 respectively. After 4 months C also joined the business with an investment of Rs.35000. What is the share of C in an annual profit of Rs.47000?
2. Mudit's age 18 years hence will be thrice his age four years ago. Find Mudit's present age?
3. (743.30)^{2} = ?
4. The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
5. A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 3 a rupee. Find his net profit or loss percent?
6. A, B and C can do a piece of work in 24 days, 30 days and 40 days respectively. They began the work together but C left 4 days before the completion of the work. In how many days was the work completed?
7. 26.98% of 6002 + 45.01% of 4199 = ?
8. What is the sum of all the composite numbers up to 20?
9. A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
10.
LCM of 18 and 27 is:
11. A, B and C completed a piece of work, A worked for 6 days, B for 9 days and C for 4 days. Their daily wages were in the ratio of 3:4:5. Find the daily wages of C, if their total earning was Rs.1480?
12. A rectangular courtyard, the sides of which are in the ratio of 4:3, cost Rs.600 for paving at 50 p per m^{2}; find the length of the diagonal of the courtyard?
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 pipes of same capacity can fill a tank in 8 hours. If there are only two pipes of same capacity, the tank can be filled in.
15. A student scored an average of 80 marks in 3 subjects: Physics, Chemistry and Mathematics. If the average marks in Physics and Mathematics is 90 and that in Physics and Chemistry is 70, what are the marks in Physics?
16. 109.13 * 34.14 - 108.12 * 33 = ?
17. A certain number when divided by 39 leaves a remainder 20, what is the remainder when the same number is divided by 13?
18. A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number?
19. 96% of the population of a village is 23040. The total population of the village is?
20. A dealer purchased an article at 3/4 of its list price and sold 50% more than the list price. Find his gain percent?
21. The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
22. The diagonals of a rhombus are 15 cm and 20 cm. Find its area?
23. Two pipes A and B can fill a tank in 15 min and 20 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank?
24. An express traveled at an average speed of 100 km/hr, stopping for 3 min after every 75 kn. How long did it take to reach its destination 600 km from the starting point?
25. [10 + {4 * ({2/3 + 1/4} * √144/121 + 23) ÷ 12 + 5} - 3] = ?
26. 666 / 6 / 3 = ?
27. The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
28. If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 340, the cost of the article is:
29. Two pipes A and B can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 4 minutes the cistern was full. In what time can the waste pipe empty the cistern when fill?
30. A gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same. If there are 4 rows or 5 rows or 6 rows, then no tree will be left. Find the least number of trees required.
31. Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
32. A batsman in his 17^{th} innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17^{th}innings?
33. (64 + 9 + 9) / (2 * 20 + 1) = ?
34. The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is:
35. 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%?
36. The area of the cardboard(in cm^{2}) needed to make a box of size 25 cm * 15 cm * 8 cm will be?
37. (8x^{9} / 27y^{-6})^{-2/3} = ?
38. Find the amount on Rs.5000 in 2 years, the rate of interest being 4% per first year and 5% for the second year?
39. Find the mean proportional of the following pairs of numbers 50 and 512.
40. The value of a machine depreciates at 20% per annum. If its present value is Rs. 1,50,000, at what price should it be sold after two years such that a profit of Rs. 24,000 is made?
41. Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.15of money?
42. A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is -.
43. A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most -.
44. Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is?
45. There are three numbers. 5/7th of the first number is equal to 48% of the second number. The second number is 1/9th of the third number. If the third number is 1125, then find 25% of the first number?
46. A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m^{2}?
47. Sum of two numbers is 15. Two times of the first exceeds by 5 from the three times of the other. Then the numbers will be?
48. 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 ?
49. A and B can do a work in 18 day, B and C in 30 days, A and C in 22 (1/2) days. In how many days can A,B and C individually do the work?
50. The simple form of the ratio 2/3:2/5 is?