TNPSC Group 4 - Ratio and proportion simple interest compound interest area and volume calculations. Online Test (MCQ Quiz)

1. If the ratio of two numbers is 3:5 and their sum is 80, what are the numbers?

A) 20 and 60 B) 30 and 50 C) 24 and 40 D) 15 and 65

2. 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?

A) 30 years B) 35 years C) 42 years D) 49 years

3. Two numbers are in the ratio 2:3. If their product is 54, find the numbers.

A) 4 and 6 B) 6 and 9 C) 8 and 12 D) 10 and 15

4. If a:b = 2:3 and b:c = 4:5, what is the ratio a:b:c?

A) 2:3:5 B) 8:12:15 C) 6:4:5 D) 2:4:5

5. The ratio of boys to girls in a class is 7:5. If there are 35 boys, how many girls are there?

A) 20 B) 25 C) 30 D) 35

6. What is the simple interest on Rs. 5000 at 8% per annum for 3 years?

A) Rs. 1000 B) Rs. 1200 C) Rs. 1500 D) Rs. 1600

7. In what time will Rs. 6000 yield an interest of Rs. 1200 at 5% per annum simple interest?

A) 4 years B) 5 years C) 6 years D) 7 years

8. 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?

A) 4% B) 5% C) 6% D) 7%

9. If Rs. 8000 amounts to Rs. 9200 in 3 years at simple interest, what is the rate of interest per annum?

A) 3% B) 4% C) 5% D) 6%

10. A sum of money doubles itself in 10 years at simple interest. What is the rate of interest per annum?

A) 5% B) 10% C) 15% D) 20%

11. What is the compound interest on Rs. 10000 at 10% per annum for 2 years?

A) Rs. 1000 B) Rs. 2000 C) Rs. 2100 D) Rs. 2200

12. Find the amount when Rs. 5000 is invested for 3 years at 8% per annum compound interest, compounded annually.

A) Rs. 6000 B) Rs. 6220.80 C) Rs. 6264 D) Rs. 6400

13. A sum of money becomes Rs. 13230 in 3 years at 5% per annum compound interest. Find the principal.

A) Rs. 10000 B) Rs. 11000 C) Rs. 12000 D) Rs. 12500

14. What is the difference between the compound interest and simple interest on Rs. 5000 for 2 years at 6% per annum?

A) Rs. 15 B) Rs. 18 C) Rs. 24 D) Rs. 30

15. In how many years will Rs. 2000 amount to Rs. 2315.25 at 10% per annum compound interest, compounded annually?

A) 2 years B) 2.5 years C) 3 years D) 3.5 years

16. The area of a rectangle is 120 sq cm. If its length is 15 cm, find its breadth.

A) 6 cm B) 8 cm C) 10 cm D) 12 cm

17. What is the area of a square with a side length of 9 cm?

A) 36 sq cm B) 54 sq cm C) 81 sq cm D) 162 sq cm

18. The perimeter of a square is 48 cm. Find its area.

A) 108 sq cm B) 120 sq cm C) 144 sq cm D) 160 sq cm

19. Find the area of a triangle with a base of 10 cm and a height of 7 cm.

A) 35 sq cm B) 70 sq cm C) 140 sq cm D) 175 sq cm

20. The area of a parallelogram is 96 sq cm. If its base is 12 cm, find its height.

A) 6 cm B) 8 cm C) 10 cm D) 12 cm

21. What is the volume of a cube with an edge length of 5 cm?

A) 25 cubic cm B) 75 cubic cm C) 125 cubic cm D) 150 cubic cm

22. Find the volume of a cuboid with length 10 cm, breadth 6 cm, and height 4 cm.

A) 20 cubic cm B) 240 cubic cm C) 400 cubic cm D) 480 cubic cm

23. The volume of a cylinder is 1540 cubic cm. If its radius is 7 cm, find its height.

A) 10 cm B) 12 cm C) 15 cm D) 20 cm

24. What is the volume of a sphere with a radius of 3 cm? (Use π = 22/7)

A) 72 cubic cm B) 88 cubic cm C) 113.04 cubic cm D) 132 cubic cm

25. The sum of two numbers is 120 and their ratio is 2:3. Find the numbers.

A) 40 and 80 B) 48 and 72 C) 50 and 70 D) 60 and 60

26. A sum of Rs. 4000 is invested at 5% simple interest per annum. What is the interest earned after 2 years?

A) Rs. 300 B) Rs. 400 C) Rs. 500 D) Rs. 600

27. What is the compound interest on Rs. 2000 for 1 year at 8% per annum, compounded semi-annually?

A) Rs. 160 B) Rs. 162 C) Rs. 164 D) Rs. 166

28. The length of a rectangle is twice its breadth. If the area of the rectangle is 72 sq cm, find its length.

A) 6 cm B) 9 cm C) 12 cm D) 18 cm

29. Find the volume of a cone with radius 6 cm and height 10 cm. (Use π = 3.14)

A) 188.4 cubic cm B) 376.8 cubic cm C) 565.2 cubic cm D) 1130.4 cubic cm

30. 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.

A) 15 cm B) 20 cm C) 25 cm D) 30 cm

31. A sum of money triples itself in 12 years at simple interest. The rate of interest per annum is:

A) 10% B) 12.5% C) 15% D) 16.67%

32. What is the amount of Rs. 10000 in 2 years at 5% per annum compound interest, compounded annually?

A) Rs. 10500 B) Rs. 11000 C) Rs. 11025 D) Rs. 11500

33. The area of a circle is 154 sq cm. Find its radius. (Use π = 22/7)

A) 5 cm B) 6 cm C) 7 cm D) 8 cm

34. If 3:x = 6:8, then x is:

A) 2 B) 4 C) 5 D) 6

35. Simple interest on Rs. P at R% for T years is given by the formula:

A) (P + R + T)/100 B) (P * R * T)/100 C) (P * (1 + R/100)^T) D) P * (1 - R/100)^T

36. The compound interest formula for amount A, principal P, rate R, and time T is:

A) A = P(1 + R/100)^T B) A = P(1 - R/100)^T C) A = PRT/100 D) A = P + PRT/100

37. The area of a circle is calculated using the formula:

A) 2πr B) πr^2 C) 4/3πr^3 D) 2πr^2

38. The volume of a sphere is given by the formula:

A) πr^2h B) 4/3πr^3 C) 1/3πr^2h D) 4πr^2

39. 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?

A) Rs. 10000 B) Rs. 12000 C) Rs. 14000 D) Rs. 16000

40. Find the difference between the amount and the principal when Rs. 3000 is invested for 2 years at 10% simple interest.

A) Rs. 300 B) Rs. 600 C) Rs. 630 D) Rs. 660

41. 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.

A) 5% B) 6% C) 8% D) 10%

42. The perimeter of a rectangle is 50 cm. If its length is 15 cm, find its breadth.

A) 8 cm B) 10 cm C) 12 cm D) 15 cm

43. What is the total surface area of a cube with an edge length of 4 cm?

A) 64 sq cm B) 96 sq cm C) 128 sq cm D) 144 sq cm

44. The ratio of the radii of two circles is 2:3. The ratio of their areas is:

A) 2:3 B) 4:6 C) 4:9 D) 8:27

45. In what time will Rs. 1000 yield an interest of Rs. 200 at 4% per annum simple interest?

A) 4 years B) 5 years C) 6 years D) 7 years

46. Find the compound interest on Rs. 16000 for 9 months at 20% per annum, compounded quarterly.

A) Rs. 2000 B) Rs. 2400 C) Rs. 2522 D) Rs. 3000

47. The area of a rhombus is 150 sq cm. If one of its diagonals is 15 cm, find the length of the other diagonal.

A) 10 cm B) 15 cm C) 20 cm D) 25 cm

48. What is the volume of a cylinder with radius 5 cm and height 14 cm? (Use π = 22/7)

A) 350 cubic cm B) 700 cubic cm C) 1100 cubic cm D) 1400 cubic cm

49. If the ratio of two numbers is 5:8 and their difference is 24, find the numbers.

A) 30 and 54 B) 40 and 64 C) 45 and 69 D) 50 and 74

50. A sum of Rs. 7500 amounts to Rs. 8400 in 2 years at simple interest. The rate of interest per annum is:

A) 4% B) 5% C) 6% D) 7%

Ratio and proportion simple interest compound interest area and volume calculations. - Online Test

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