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1. 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?
2. At what rate percent of simple interest will a sum of money double itself in 12 years?
3. The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?
4. 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?
5. If 20% of a number, then 120% of that number will be?
6. An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m?
7. The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is:
8. If 3^{4m+1} = 3^{7m-5}, solve for m.
9. What is the difference between the compound interest on Rs.12000 at 20% p.a. for one year when compounded yearly and half yearly?
10. A can do a piece of work in 40 days; B can do the same in 30 days. A started alone but left the work after 10 days, then B worked at it for 10 days. C finished the remaining work in 10 days. C alone can do the whole work in?
11. (27^{2/3} * 9^{1/2} * 81^{1/4})^{-1/4} = ?
12. The least number which when divided by 16, 18 and 21, leave the remainder 3, 5 and 8 respectively is:
13. If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be?
14. Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.85. How much was lent at 5%?
15. I. a^{2} + 11a + 30 = 0, II. b^{2} + 6b + 5 = 0 to solve both the equations to find the values of a and b?
16. How many minimum number's of whole square slabs are required for paving the floor 12.96 meters long and 3.84 meters side?
17. The average marks of a class of 30 students is 40 and that of another class of 50 students is 60. Find the average marks of all the students?
18. The number obtained by interchanging the two digits of a two-digit number is less than the original number by 45. If the sum of the two digits of the number so obtained is 13, then what is the original number?
19. Two same glasses are respectively 1/4th 1/5th full of milk. They are then filled with water and the contents mixed in a tumbler. The ratio of milk and water in the tumbler is?
20. One side of a rectangular field is 4 m and its length along diagonal is 5 m. What is the area of the field?
21. A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?
22. Two men Amar and Bhavan have the ratio of their monthly incomes as 6:5. The ratio of their monthly expenditures is 3:2. If Bhavan saves one-fourth of his income, find the ratio of their monthly savings?
23. A man complete a journey in 10 hrs. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km?
24. A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
25. Pipes A and B can fill a cistern in 8 and 24 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?
26. Rs.1200 divided among P, Q and R. P gets half of the total amount received by Q and R. Q gets one-third of the total amount received by P and R. Find the amount received by R?
27. Eight years ago, Ajay's age was 4/3 times that of Vijay. Eight years hence, Ajay's age will be 6/5 times that of Vijay. What is the present age of Ajay?
28. Compound interest earned on a sum for the second and the third years are Rs.1200 and Rs.1440 respectively. Find the rate of interest?
29. Five years ago the average of the ages of A and B was 40 years and now the average of the ages of B and C is 48 years. What will be the age of the B ten years hence?
30. 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:
31. A and B together can do a work in 6 days. If A alone can do it in 15 days. In how many days can B alone do it?
32. If 4 2/3 is subtracted form 10 1/2 and the difference is multiplied by 450, then what is the final answer?
33. In a factory, there are 40% technicians and 60% non-technicians. If the 60% of the technicians and 40% of non-technicians are permanent employees, then the percentage of workers who are temporary is?
34. A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km?
35. A man saves Rs. 200 at the end of each year and lends the money at 5% compound interest. How much will it become at the end of 3 years?
36. A sum of money becomes triple itself in 5 years at simple interest. How many years will it become six times at the same rate?
37. Seats for Mathematics, Physics and Biology in a school are in the ratio 5:7:8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?
38. 15% of 195 + 14% of 205 = ?
39. The area of a square is equal to five times the area of a rectangle of dimensions 125 cm * 64 cm. What is the perimeter of the square?
40. The sum of a number and its reciprocal is one-eighth of 34. What is the product of the number and its square root?
41. A is thrice as efficient as B and is, therefore, able to finish a piece of work 10 days earlier than B. In how many days A and B will finish it together?
42. A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
43. A is twice as good a workman as B and they took 7 days together to do the work B alone can do it in.
44. A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
45. How much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction?
46. The simple form of the ratio 2/3:2/5 is?
47. (0.9 * 0.9 - 0.8 * 0.8)/1.7 = ?
48. Walking 7/6 of his usual rate, a boy reaches his school 4 min early. Find his usual time to reach the school?
49. [3/7 of {21 * (33.33% of (27 + 3) ÷ 5) - 7} - 8] = ?
50. The least number of five digits that have 144 their HCF is?