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

1. Simple interest on Rs. P at R% for T years is given by the formula: — (P * R * T)/100
2. The volume of a cylinder is 1540 cubic cm. If its radius is 7 cm, find its height. — 10 cm
3. The area of a rhombus is 150 sq cm. If one of its diagonals is 15 cm, find the length of the other diagonal. — 20 cm
4. A sum of money triples itself in 12 years at simple interest. The rate of interest per annum is: — 16.67%
5. The perimeter of a square is 48 cm. Find its area. — 144 sq cm
6. If the ratio of the sides of a triangle is 3:4:5 and its perimeter is 60 cm, find the length of the longest side. — 20 cm
7. Find the volume of a cone with radius 6 cm and height 10 cm. (Use π = 3.14) — 376.8 cubic cm
8. If 3:x = 6:8, then x is: — 4
9. In how many years will Rs. 2000 amount to Rs. 2315.25 at 10% per annum compound interest, compounded annually? — 3 years
10. The ratio of the radii of two circles is 2:3. The ratio of their areas is: — 4:9
11. If a:b = 2:3 and b:c = 4:5, what is the ratio a:b:c? — 8:12:15
12. The ratio of boys to girls in a class is 7:5. If there are 35 boys, how many girls are there? — 25
13. If the ratio of two numbers is 3:5 and their sum is 80, what are the numbers? — 30 and 50
14. Find the volume of a cuboid with length 10 cm, breadth 6 cm, and height 4 cm. — 480 cubic cm
15. The circumference of a circle is 88 cm. Find its area. (Use π = 22/7) — 2464 sq cm
16. What is the volume of a cube with an edge length of 5 cm? — 125 cubic cm
17. The area of a circle is calculated using the formula: — πr^2
18. If Rs. 8000 amounts to Rs. 9200 in 3 years at simple interest, what is the rate of interest per annum? — 5%
19. If the ratio of two numbers is 5:8 and their difference is 24, find the numbers. — 40 and 64
20. The ratio of ages of A and B is 5:7. If the sum of their ages is 72 years, what is the present age of B? — 42 years
21. Find the area of a triangle with a base of 10 cm and a height of 7 cm. — 35 sq cm
22. What is the volume of a cylinder with radius 5 cm and height 14 cm? (Use π = 22/7) — 1100 cubic cm
23. What is the area of a square with a side length of 9 cm? — 81 sq cm
24. Two numbers are in the ratio 2:3. If their product is 54, find the numbers. — 6 and 9
25. In what time will Rs. 6000 yield an interest of Rs. 1200 at 5% per annum simple interest? — 4 years
26. In what time will Rs. 1000 yield an interest of Rs. 200 at 4% per annum simple interest? — 5 years
27. The simple interest on a sum of money is 1/4 of the principal in 5 years. What is the rate of interest per annum? — 5%
28. A sum of Rs. 7500 amounts to Rs. 8400 in 2 years at simple interest. The rate of interest per annum is: — 6%
29. The sum of two numbers is 120 and their ratio is 2:3. Find the numbers. — 48 and 72
30. The area of a circle is 154 sq cm. Find its radius. (Use π = 22/7) — 7 cm
31. A sum of money doubles itself in 10 years at simple interest. What is the rate of interest per annum? — 10%
32. A sum of money grows to Rs. 7560 in 3 years at a certain rate of compound interest. If the principal was Rs. 6000, find the rate of interest. — 5%
33. The area of a rectangle is 120 sq cm. If its length is 15 cm, find its breadth. — 8 cm
34. The area of a parallelogram is 96 sq cm. If its base is 12 cm, find its height. — 8 cm
35. The length of a rectangle is twice its breadth. If the area of the rectangle is 72 sq cm, find its length. — 12 cm
36. What is the total surface area of a cube with an edge length of 4 cm? — 96 sq cm
37. What is the volume of a sphere with a radius of 3 cm? (Use π = 22/7) — 132 cubic cm
38. The perimeter of a rectangle is 50 cm. If its length is 15 cm, find its breadth. — 10 cm
39. The compound interest formula for amount A, principal P, rate R, and time T is: — A = P(1 + R/100)^T
40. What is the simple interest on Rs. 5000 at 8% per annum for 3 years? — Rs. 1600
41. What is the compound interest on Rs. 10000 at 10% per annum for 2 years? — Rs. 2100
42. A sum of money becomes Rs. 13230 in 3 years at 5% per annum compound interest. Find the principal. — Rs. 10000
43. If the ratio of A's income to B's income is 4:7 and B's income is Rs. 21000, what is A's income? — Rs. 12000
44. What is the amount of Rs. 10000 in 2 years at 5% per annum compound interest, compounded annually? — Rs. 11025
45. What is the difference between the compound interest and simple interest on Rs. 5000 for 2 years at 6% per annum? — Rs. 18
46. What is the compound interest on Rs. 2000 for 1 year at 8% per annum, compounded semi-annually? — Rs. 162
47. Find the compound interest on Rs. 16000 for 9 months at 20% per annum, compounded quarterly. — Rs. 2522
48. A sum of Rs. 4000 is invested at 5% simple interest per annum. What is the interest earned after 2 years? — Rs. 400
49. Find the difference between the amount and the principal when Rs. 3000 is invested for 2 years at 10% simple interest. — Rs. 600
50. Find the amount when Rs. 5000 is invested for 3 years at 8% per annum compound interest, compounded annually. — Rs. 6264
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