SSC CGL - Mensuration of Plane and Solid Figures Online Test (MCQ Quiz)

1. The perimeter of a square is 48 cm. What is its area?

A) 144 sq cm B) 108 sq cm C) 120 sq cm D) 96 sq cm

2. If the length of a rectangle is 12 cm and its breadth is 8 cm, what is its area?

A) 96 sq cm B) 40 sq cm C) 20 sq cm D) 100 sq cm

3. The area of a circle is 154 sq cm. What is its radius?

A) 7 cm B) 14 cm C) 22 cm D) 3.5 cm

4. What is the volume of a cube with a side length of 5 cm?

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

5. A rectangular field is 50 meters long and 30 meters wide. What is its perimeter?

A) 160 meters B) 150 meters C) 80 meters D) 200 meters

6. The diameter of a circle is 28 cm. What is its circumference?

A) 44 cm B) 88 cm C) 22 cm D) 154 cm

7. What is the area of a triangle with a base of 10 cm and a height of 6 cm?

A) 60 sq cm B) 30 sq cm C) 16 sq cm D) 33 sq cm

8. If the radius of a hemisphere is 3 cm, what is its volume?

A) 36π cubic cm B) 18π cubic cm C) 9π cubic cm D) 12π cubic cm

9. The diagonal of a square is 10√2 cm. What is the length of its side?

A) 10 cm B) 20 cm C) 5√2 cm D) 100 cm

10. A parallelogram has a base of 15 cm and a height of 8 cm. What is its area?

A) 120 sq cm B) 23 sq cm C) 150 sq cm D) 30 sq cm

11. The surface area of a sphere is 144π sq cm. What is its radius?

A) 6 cm B) 12 cm C) 24 cm D) 36 cm

12. What is the volume of a cylinder with a radius of 7 cm and a height of 10 cm? (Use π = 22/7)

A) 1540 cubic cm B) 490 cubic cm C) 220 cubic cm D) 770 cubic cm

13. The lengths of the parallel sides of a trapezoid are 12 cm and 18 cm, and its height is 7 cm. What is its area?

A) 105 sq cm B) 210 sq cm C) 30 sq cm D) 140 sq cm

14. What is the lateral surface area of a cone with radius 3 cm and slant height 5 cm?

A) 15π sq cm B) 9π sq cm C) 24π sq cm D) 30π sq cm

15. If the area of a rhombus is 150 sq cm and one of its diagonals is 15 cm, what is the length of the other diagonal?

A) 10 cm B) 20 cm C) 30 cm D) 5 cm

16. The dimensions of a cuboid are 10 cm, 5 cm, and 4 cm. What is its total surface area?

A) 160 sq cm B) 200 sq cm C) 220 sq cm D) 180 sq cm

17. What is the area of a sector of a circle with radius 6 cm and angle 60°? (Use π = 22/7)

A) 132/7 sq cm B) 66/7 sq cm C) 22/7 sq cm D) 44/7 sq cm

18. The perimeter of a regular hexagon with side length 'a' is:

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

19. What is the volume of a pyramid with a square base of side 6 cm and a height of 10 cm?

A) 120 cubic cm B) 60 cubic cm C) 360 cubic cm D) 180 cubic cm

20. If the area of a circle is 100π sq cm, what is its diameter?

A) 10 cm B) 20 cm C) 5 cm D) 100 cm

21. A square is inscribed in a circle of radius 7 cm. What is the area of the square?

A) 49 sq cm B) 98 sq cm C) 196 sq cm D) 14 sq cm

22. The circumference of a circle is 44 cm. What is its area? (Use π = 22/7)

A) 154 sq cm B) 616 sq cm C) 44 sq cm D) 22 sq cm

23. What is the volume of a hemisphere with a diameter of 12 cm?

A) 288π cubic cm B) 144π cubic cm C) 72π cubic cm D) 432π cubic cm

24. The sides of a triangle are 3 cm, 4 cm, and 5 cm. What is its area?

A) 6 sq cm B) 12 sq cm C) 10 sq cm D) 7.5 sq cm

25. What is the total surface area of a cylinder with radius 5 cm and height 10 cm? (Use π = 22/7)

A) 660 sq cm B) 330 sq cm C) 110 sq cm D) 220 sq cm

26. A rectangle's length is twice its width. If its area is 72 sq cm, what is its length?

A) 6 cm B) 12 cm C) 8 cm D) 9 cm

27. What is the sum of the areas of two circles with radii 3 cm and 4 cm? (Use π = 22/7)

A) 25 sq cm B) 78.57 sq cm C) 154 sq cm D) 50 sq cm

28. The slant height of a cone is 13 cm and its radius is 5 cm. What is its height?

A) 12 cm B) 8 cm C) 18 cm D) 13 cm

29. The perimeter of a square is 36 cm. What is its diagonal length?

A) 9√2 cm B) 18 cm C) 9 cm D) 12√2 cm

30. What is the volume of a cube whose total surface area is 216 sq cm?

A) 36 cubic cm B) 216 cubic cm C) 6 cubic cm D) 1296 cubic cm

31. A circular garden has a radius of 14 meters. What is its area? (Use π = 22/7)

A) 616 sq meters B) 154 sq meters C) 88 sq meters D) 196 sq meters

32. The area of a parallelogram is 120 sq cm and its height is 10 cm. What is its base length?

A) 12 cm B) 20 cm C) 10 cm D) 120 cm

33. What is the lateral surface area of a cube with side length 4 cm?

A) 16 sq cm B) 64 sq cm C) 96 sq cm D) 24 sq cm

34. If the area of a rhombus is 24 sq cm and its perimeter is 20 cm, what is the length of its altitude?

A) 4 cm B) 5 cm C) 6 cm D) 2.4 cm

35. What is the volume of a cone with radius 3 cm and height 7 cm? (Use π = 22/7)

A) 66 cubic cm B) 22 cubic cm C) 198 cubic cm D) 132 cubic cm

36. A rectangular plot is 100 m long and 80 m wide. What is the cost of gravelling it at Rs 5 per sq meter?

A) Rs 4000 B) Rs 40000 C) Rs 8000 D) Rs 80000

37. The sum of the radii of two circles is 10 cm and the difference of their circumferences is 8π cm. What is the radius of the larger circle?

A) 5 cm B) 7 cm C) 3 cm D) 4 cm

38. What is the area of the region between two concentric circles with radii 7 cm and 14 cm? (Use π = 22/7)

A) 462 sq cm B) 154 sq cm C) 616 sq cm D) 196 sq cm

39. If a rectangle's length is increased by 10% and its width is decreased by 10%, what is the net percentage change in its area?

A) 1% decrease B) 1% increase C) 10% decrease D) 10% increase

40. What is the total surface area of a hemisphere with radius 6 cm? (Use π = 22/7)

A) 264 sq cm B) 400.57 sq cm C) 108π sq cm D) 324π sq cm

41. The perimeter of a rhombus is 52 cm and one diagonal is 24 cm. What is the length of the other diagonal?

A) 10 cm B) 20 cm C) 5 cm D) 12 cm

42. A solid metallic sphere of radius 10 cm is melted and recast into small cones of radius 2 cm and height 5 cm. How many such cones can be formed?

A) 125 B) 100 C) 50 D) 250

43. What is the area of the largest circle that can be inscribed in a square of side 14 cm?

A) 44 sq cm B) 154 sq cm C) 196 sq cm D) 616 sq cm

44. The lengths of the diagonals of a rhombus are 12 cm and 16 cm. What is its area?

A) 96 sq cm B) 192 sq cm C) 28 sq cm D) 48 sq cm

45. If the radius of a circle is increased by 50%, by what percentage does its area increase?

A) 25% B) 50% C) 100% D) 125%

46. What is the volume of a right circular cylinder whose radius is 7 cm and height is 10 cm? (Use π = 22/7)

A) 1540 cubic cm B) 490 cubic cm C) 220 cubic cm D) 770 cubic cm

47. A rectangular garden is 40 m long and 30 m wide. A path 2 m wide is built around it. What is the area of the path?

A) 136 sq m B) 280 sq m C) 304 sq m D) 144 sq m

48. What is the surface area of a sphere whose volume is 288π cubic cm?

A) 72π sq cm B) 144π sq cm C) 216π sq cm D) 288π sq cm

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

A) 2:3 B) 4:9 C) 8:27 D) 16:81

50. A parallelogram has sides of length 10 cm and 8 cm. If the angle between them is 30°, what is its area?

A) 80 sq cm B) 40 sq cm C) 20 sq cm D) 10 sq cm

Mensuration of Plane and Solid Figures - Online Test

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