Ratio and proportion simple interest compound interest area volume time and work. - Question Bank

1. 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?
A) 5 days
B) 6 days
C) 7 days
D) 8 days
2. The area of a circle is 1386 sq cm. Find its radius.
A) 10.5 cm
B) 21 cm
C) 14 cm
D) 7 cm
3. A sum of Rs. 10000 amounts to Rs. 12100 in 2 years at compound interest. The rate of interest is:
A) 5%
B) 10%
C) 15%
D) 20%
4. 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?
A) 14 years
B) 28 years
C) 35 years
D) 42 years
5. If 20 men can do a work in 30 days, how many days will 30 men take to do the same work?
A) 15 days
B) 20 days
C) 25 days
D) 18 days
6. The sum of money invested at compound interest doubles itself in 5 years. In how many years will it become 8 times itself?
A) 10 years
B) 15 years
C) 20 years
D) 25 years
7. A spherical ball has a radius of 3 cm. What is its volume?
A) 36 pi cubic cm
B) 108 pi cubic cm
C) 27 pi cubic cm
D) 12 pi cubic cm
8. 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:
A) 15 cm
B) 20 cm
C) 25 cm
D) 30 cm
9. The compound interest on Rs. 5000 for 2 years at 4% per annum, compounded annually, is:
A) Rs. 400
B) Rs. 408
C) Rs. 402
D) Rs. 416
10. A sum of Rs. 1600 earns Rs. 256 as simple interest in 2 years. The rate of interest is:
A) 7%
B) 8%
C) 9%
D) 10%
11. 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:
A) 10 and 16
B) 15 and 24
C) 20 and 32
D) 25 and 40
12. The ratio of the volumes of two cubes is 1:8. What is the ratio of their side lengths?
A) 1:2
B) 1:4
C) 1:8
D) 2:1
13. If the ratio of the areas of two circles is 1:4, what is the ratio of their radii?
A) 1:2
B) 1:4
C) 1:16
D) 2:1
14. A train travels at a speed of 60 km/hr. How long will it take to cover a distance of 300 km?
A) 4 hours
B) 5 hours
C) 6 hours
D) 3 hours
15. 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?
A) 100 km/hr
B) 80 km/hr
C) 60 km/hr
D) 50 km/hr
16. 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?
A) 10 hours
B) 12 hours
C) 8 hours
D) 6 hours
17. 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?
A) 3 days
B) 4 days
C) 6 days
D) 5 days
18. 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?
A) 5 days
B) 6 days
C) 7 days
D) 8 days
19. 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:
A) 10 days
B) 12 days
C) 15 days
D) 8 days
20. If 8 workers can build a wall in 12 days, how many workers are needed to build the same wall in 6 days?
A) 4 workers
B) 16 workers
C) 8 workers
D) 12 workers
21. 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?
A) 8 days
B) 10 days
C) 8 4/7 days
D) 6 days
22. 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?
A) 5 days
B) 20 days
C) 10 days
D) 2 days
23. A rectangular field is 50 meters long and 30 meters wide. What is its area?
A) 80 sq m
B) 1500 sq m
C) 200 sq m
D) 1200 sq m
24. The volume of a cylinder is 616 cubic cm. If its radius is 7 cm, what is its height?
A) 8 cm
B) 10 cm
C) 12 cm
D) 6 cm
25. What is the radius of a circle with an area of 154 sq cm?
A) 7 cm
B) 14 cm
C) 21 cm
D) 3.5 cm
26. The length, breadth, and height of a cuboid are 10 cm, 5 cm, and 4 cm respectively. What is its volume?
A) 200 cubic cm
B) 100 cubic cm
C) 50 cubic cm
D) 40 cubic cm
27. What is the volume of a cube with side length 5 cm?
A) 25 cubic cm
B) 125 cubic cm
C) 150 cubic cm
D) 75 cubic cm
28. The area of a triangle is 50 sq cm. If its base is 10 cm, what is its height?
A) 10 cm
B) 20 cm
C) 5 cm
D) 15 cm
29. The diameter of a circle is 14 cm. What is its circumference?
A) 44 cm
B) 154 sq cm
C) 28 cm
D) 22 cm
30. What is the perimeter of a square with side length 9 cm?
A) 36 cm
B) 81 sq cm
C) 18 cm
D) 27 cm
31. The area of a rectangle is 120 sq cm. If its length is 12 cm, what is its breadth?
A) 10 cm
B) 15 cm
C) 8 cm
D) 20 cm
32. The population of a town increases by 5% annually. If its present population is 92610, what was its population 3 years ago?
A) 80000
B) 75000
C) 85000
D) 90000
33. In how many years will Rs. 1500 amount to Rs. 1850 at 10% per annum compound interest?
A) 1 year
B) 2 years
C) 3 years
D) 1.5 years
34. A sum of money becomes Rs. 4840 in 2 years at 10% per annum compound interest. The sum invested is:
A) Rs. 4000
B) Rs. 4400
C) Rs. 3000
D) Rs. 3600
35. Compound interest on Rs. 10000 for 2 years at 4% per annum is:
A) Rs. 800
B) Rs. 816
C) Rs. 832
D) Rs. 400
36. The difference between the simple interest and compound interest on Rs. 1000 for 2 years at 10% per annum is:
A) Rs. 10
B) Rs. 20
C) Rs. 100
D) Rs. 110
37. If the simple interest on Rs. X at R% for T years is S, then X is equal to:
A) (100 * S) / (R * T)
B) (R * T) / (100 * S)
C) (100 * R) / (S * T)
D) (100 * T) / (S * R)
38. The simple interest on a sum of money at 5% per annum for 4 years is Rs. 100. What is the sum?
A) Rs. 500
B) Rs. 1000
C) Rs. 200
D) Rs. 250
39. A sum of money doubles itself in 10 years at simple interest. What is the rate of interest per annum?
A) 10%
B) 5%
C) 8%
D) 12%
40. In what time will Rs. 8000 amount to Rs. 9200 at 3% per annum simple interest?
A) 4 years
B) 5 years
C) 6 years
D) 3 years
41. Simple interest on Rs. 5000 at 10% per annum for 3 years is:
A) Rs. 1500
B) Rs. 1000
C) Rs. 500
D) Rs. 2000
42. If the ratio of two numbers is 3:7 and their product is 135, find the numbers.
A) 9 and 21
B) 15 and 35
C) 27 and 63
D) 3 and 7
43. What is the mean proportional between 16 and 36?
A) 24
B) 20
C) 28
D) 30
44. 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?
A) 15 liters
B) 10 liters
C) 20 liters
D) 25 liters
45. 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?
A) Rs. 400
B) Rs. 500
C) Rs. 600
D) Rs. 480
46. What is the fourth proportional to 2, 4, and 6?
A) 8
B) 10
C) 12
D) 14
47. 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?
A) 15 years
B) 25 years
C) 10 years
D) 20 years
48. If A:B = 2:3 and B:C = 4:5, then A:C is:
A) 8:15
B) 2:5
C) 3:4
D) 6:8
49. Two numbers are in the ratio 7:11. Their difference is 24. Find the numbers.
A) 42 and 66
B) 77 and 121
C) 21 and 33
D) 56 and 88
50. The ratio of boys to girls in a class is 5:4. If there are 25 boys, how many girls are there?
A) 20
B) 24
C) 30
D) 16
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