Ratio and proportion simple interest compound interest area volume time and work. - One Line Questions

1. If the simple interest on Rs. X at R% for T years is S, then X is equal to: — (100 * S) / (R * T)
2. In how many years will Rs. 1500 amount to Rs. 1850 at 10% per annum compound interest? — 2 years
3. If the ratio of the areas of two circles is 1:4, what is the ratio of their radii? — 1:2
4. The ratio of the volumes of two cubes is 1:8. What is the ratio of their side lengths? — 1:2
5. Two numbers are in the ratio 5:8. If 5 is added to both the numbers, the new ratio is 2:3. The numbers are: — 10 and 16
6. The area of a rectangle is 120 sq cm. If its length is 12 cm, what is its breadth? — 10 cm
7. The area of a triangle is 50 sq cm. If its base is 10 cm, what is its height? — 10 cm
8. A and B can complete a work in 12 days and 18 days respectively. They work together for 4 days. The remaining work will be completed by B alone in: — 15 days
9. A cistern can be filled by a pipe in 4 hours. Another pipe can empty the cistern in 6 hours. If both pipes are opened, in how much time will the cistern be filled? — 12 hours
10. The sum of money invested at compound interest doubles itself in 5 years. In how many years will it become 8 times itself? — 15 years
11. The area of a circle is 1386 sq cm. Find its radius. — 10.5 cm
12. A sum of money doubles itself in 10 years at simple interest. What is the rate of interest per annum? — 10%
13. The ratio of the speeds of two trains is 5:3. If the second train covers 240 km in 4 hours, what is the speed of the first train? — 100 km/hr
14. The ratio of the ages of father and son is 7:2. The product of their ages is 128. What is the father's current age? — 28 years
15. The sides of a triangle are in the ratio 3:4:5. If the perimeter is 60 cm, the length of the longest side is: — 25 cm
16. If 20 men can do a work in 30 days, how many days will 30 men take to do the same work? — 20 days
17. The ratio of quantities of milk and water in a mixture is 3:2. If 5 liters of water is added, the new ratio becomes 1:2. What was the initial quantity of milk? — 15 liters
18. The ratio of the ages of Ram and Shyam is 3:5. If the sum of their ages is 40 years, what is Ram's current age? — 15 years
19. The ratio of boys to girls in a class is 5:4. If there are 25 boys, how many girls are there? — 20
20. If the ratio of two numbers is 2:3 and their sum is 50, what are the numbers? — 20 and 30
21. The length, breadth, and height of a cuboid are 10 cm, 5 cm, and 4 cm respectively. What is its volume? — 200 cubic cm
22. What is the mean proportional between 16 and 36? — 24
23. What is the volume of a cube with side length 5 cm? — 125 cubic cm
24. If 3 men or 5 women can complete a work in 12 days, how long will 6 men and 5 women take to complete the same work? — 3 days
25. What is the perimeter of a square with side length 9 cm? — 36 cm
26. A spherical ball has a radius of 3 cm. What is its volume? — 36 pi cubic cm
27. A train travels at a speed of 60 km/hr. How long will it take to cover a distance of 300 km? — 5 hours
28. If 8 workers can build a wall in 12 days, how many workers are needed to build the same wall in 6 days? — 16 workers
29. In what time will Rs. 8000 amount to Rs. 9200 at 3% per annum simple interest? — 5 years
30. Two numbers are in the ratio 7:11. Their difference is 24. Find the numbers. — 42 and 66
31. The diameter of a circle is 14 cm. What is its circumference? — 44 cm
32. If 5 men can do a piece of work in 10 days, how long will it take for 10 men to do the same work? — 5 days
33. P can do a work in 10 days, Q in 15 days, and R in 20 days. They start the work together. P leaves after 4 days. How much time will Q and R take to finish the remaining work? — 7 days
34. A and B can do a piece of work in 10 days and 12 days respectively. They begin the work together, but A leaves after 5 days. In how many more days will B finish the work? — 7 days
35. A sum of Rs. 10000 amounts to Rs. 12100 in 2 years at compound interest. The rate of interest is: — 10%
36. What is the radius of a circle with an area of 154 sq cm? — 7 cm
37. A sum of Rs. 1600 earns Rs. 256 as simple interest in 2 years. The rate of interest is: — 8%
38. What is the fourth proportional to 2, 4, and 6? — 12
39. The volume of a cylinder is 616 cubic cm. If its radius is 7 cm, what is its height? — 8 cm
40. A can do a work in 15 days and B can do the same work in 20 days. In how many days can they together finish the work? — 8 4/7 days
41. If A:B = 2:3 and B:C = 4:5, then A:C is: — 8:15
42. A rectangular field is 50 meters long and 30 meters wide. What is its area? — 1500 sq m
43. The population of a town increases by 5% annually. If its present population is 92610, what was its population 3 years ago? — 80000
44. If the ratio of two numbers is 3:7 and their product is 135, find the numbers. — 9 and 21
45. The difference between the simple interest and compound interest on Rs. 1000 for 2 years at 10% per annum is: — Rs. 10
46. Simple interest on Rs. 5000 at 10% per annum for 3 years is: — Rs. 1500
47. If Rs. 1200 is divided among A, B, and C such that A:B = 2:3 and B:C = 4:5, what is C's share? — Rs. 480
48. The compound interest on Rs. 5000 for 2 years at 4% per annum, compounded annually, is: — Rs. 408
49. A sum of money becomes Rs. 4840 in 2 years at 10% per annum compound interest. The sum invested is: — Rs. 4000
50. The simple interest on a sum of money at 5% per annum for 4 years is Rs. 100. What is the sum? — Rs. 500
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