MCQOPTIONS
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MCQOPTIONS
This section includes 30 Mcqs, each offering curated multiple-choice questions to sharpen your MENSURATION knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Find the length of the longest perch that can be placed in a hall 12 m long, 8 m broad and 9m high. |
| A. | 17 m |
| B. | 20 m |
| C. | 23 m |
| D. | 25 m |
| Answer» B. 20 m | |
| 2. |
Find the surface area of a sphere of radius 17.5 cm. |
| A. | 1221 cm2 |
| B. | 1056 cm2 |
| C. | 3850cm2 |
| D. | 4256cm2 |
| Answer» D. 4256cm2 | |
| 3. |
A iron sphere of diameter 18 cm is drawn into a wire of diameter 4 mm. Find the length of the wire. |
| A. | 123 m |
| B. | 243 m |
| C. | 321 m |
| D. | 356 m |
| Answer» C. 321 m | |
| 4. |
How many copper rods, each of length 7m and diameter 2 cm can be made out of 0.88 cubic metre of copper. |
| A. | 145 |
| B. | 345 |
| C. | 380 |
| D. | 400 |
| Answer» E. | |
| 5. |
The height of a cylinder is 15 cm. The lateral surface area is 660 sq cm. Its volume is |
| A. | 1155 cu cm |
| B. | 1215 cu cm |
| C. | 1230 cu cm |
| D. | 2310 cu cm |
| Answer» E. | |
| 6. |
From a solid wooden right circular cylinder, a right circular cone whose radius and height are same as the radius and height of the cylinder, respectively is curved out. What is the ratio of the volume of the utilised wood to that of the wasted wood ? |
| A. | 1 : 2 |
| B. | 2 : 1 |
| C. | 2 : 3 |
| D. | 1 : 3 |
| Answer» C. 2 : 3 | |
| 7. |
A solid spherical ball of iron of radius 4 cm is melted to form spheres of radius 2 cm each. The number of spheres, so formed is |
| A. | 8 |
| B. | 9 |
| C. | 10 |
| D. | 16 |
| Answer» B. 9 | |
| 8. |
What is the length of the uniform wire of diameter 0.4 cm that can be drawn from a solid sphere of radius 9 cm ? |
| A. | 243 m |
| B. | 240 m |
| C. | 60.75 m |
| D. | 60 m |
| Answer» B. 240 m | |
| 9. |
The total surface area of a cube is 150 sq cm. What is its volume ? |
| A. | 64 cu cm |
| B. | 81 cu cm |
| C. | 125 cu cm |
| D. | 160 cu cm |
| Answer» D. 160 cu cm | |
| 10. |
If the volume of a cube is 729 cu cm, then what is the length of its diagonal ? |
| A. | 9 2 cm |
| B. | 9 3 cm |
| C. | 18 cm |
| D. | 18 3 cm |
| Answer» C. 18 cm | |
| 11. |
A large solid metallic cylinder whose radius and height are equal to each other is to be melted and 48 identical solid balls are to be recast from the liquid metal, so formed. What is the ratio of the radius of a ball to the radius of the cylinder ? |
| A. | 1 : 16 |
| B. | 1 : 12 |
| C. | 1 : 8 |
| D. | 1 : 4 |
| Answer» E. | |
| 12. |
The diameter of base of a right circular cone is 7 cm and slant height is 10 cm, then what is its lateral surface area ? |
| A. | 110 sq cm |
| B. | 100 sq cm |
| C. | 70 sq cm |
| D. | 49 sq cm |
| Answer» B. 100 sq cm | |
| 13. |
If the ratio of the diameters of two spheres is 3 : 5, then what is the ratio of their surface areas ? |
| A. | 9 : 25 |
| B. | 9 : 10 |
| C. | 3 : 5 |
| D. | 27 : 125 |
| Answer» B. 9 : 10 | |
| 14. |
What is the volume of the largest sphere that can be curved out of a cube of edge 3 cm ? |
| A. | 9π cu cm |
| B. | 6π cu cm |
| C. | 4.5π cu cm |
| D. | 3π cu cm |
| Answer» D. 3π cu cm | |
| 15. |
A solid cylinder of brass 9 m high and 4 m in diameter is melted and recast into a cone of diameter 3 m. Find the height of the cone. |
| A. | 48 m |
| B. | 46 m |
| C. | 45 m |
| D. | 52 m |
| Answer» B. 46 m | |
| 16. |
The curved surface area of a cylinder is 1000 sq cm. A wire of diameter 5 mm is wound around it, so as to cover it completely. What is the length of the wire used ? |
| A. | 22 m |
| B. | 20 m |
| C. | 18 m |
| D. | None of these |
| Answer» C. 18 m | |
| 17. |
The material of a solid cone is converted into the shape of a solid cylinder of equal radius. If the height of the cylinder is 5 cm, what is the height of the cone ? |
| A. | 15 cm |
| B. | 20 cm |
| C. | 25 cm |
| D. | 30 cm |
| Answer» B. 20 cm | |
| 18. |
The surface area of a sphere is 616 sq cm. If its radius is changed so that the area gets reduced by 75%, then the radius becomes |
| A. | 1.6 cm |
| B. | 2.3 cm |
| C. | 2.5 cm |
| D. | 3.5 cm |
| Answer» E. | |
| 19. |
A cylindrical vessel of height 10 cm has base radius 60 cm. If d is the diameter of a spherical vessel of equal volume, then what is d equal to ? |
| A. | 30 cm |
| B. | 60 cm |
| C. | 90 cm |
| D. | 120 cm |
| Answer» C. 90 cm | |
| 20. |
A sphere is inscribed in a cubical box such that the sphere is tangent to all six faces of the box. What is the ratio of the volume of the cubical box to the volume of sphere ? |
| A. | 6π |
| B. | 36π |
| C. | 4π/3 |
| D. | 6/π |
| Answer» E. | |
| 21. |
The radii of the circular ends of a bucket of height 40 cm are of lengths 35 cm and 14 cm. What is the volume of the bucket ? |
| A. | 60060 cm3 |
| B. | 70040 cm3 |
| C. | 80080 cm3 |
| D. | 80160 cm3 |
| Answer» D. 80160 cm3 | |
| 22. |
10 cylindrical pillars of a building have to be painted. The diameter of each pillar is 70 cm and the height is 4 m. What is the cost of painting at the rate of ₹ 5 per sq m ? |
| A. | Rs. 400 |
| B. | Rs. 440 |
| C. | Rs. 480 |
| D. | Rs. 500 |
| Answer» C. Rs. 480 | |
| 23. |
What is the number of wax balls, each of radius 1 cm, that can be molded out of a sphere of radius 8 cm ? |
| A. | 256 |
| B. | 512 |
| C. | 768 |
| D. | 1024 |
| Answer» C. 768 | |
| 24. |
If the radius of a sphere is increased by 10% then the volume will be increased by |
| A. | 33.1% |
| B. | 30% |
| C. | 50% |
| D. | 10% |
| Answer» B. 30% | |
| 25. |
The volume of a cuboid block of stone is 10368 dm3, its dimension are in the ratio 3 : 2 : 1. If its entire surface is polished at 2 paise per dm2, then what is the total cost? |
| A. | Rs. 63.36 |
| B. | Rs. 31.50 |
| C. | Rs. 63 |
| D. | Rs. 31.68 |
| Answer» B. Rs. 31.50 | |
| 26. |
A rectangular block 6 cm by 12 cm by 15 cm is cut up in to an exact number of equal cubes. Find the least possible number of cubes. |
| A. | 10 |
| B. | 20 |
| C. | 30 |
| D. | 40 |
| Answer» E. | |
| 27. |
If 64 identical small spheres are made out of big sphere of diameter 8 cm, then what is surface area of each small sphere ? |
| A. | π cm2 |
| B. | 2π cm2 |
| C. | 4π cm2 |
| D. | 8π cm2 |
| Answer» D. 8π cm2 | |
| 28. |
If the diameter of a sphere is 21 cm then what is the total surface area of a maximum size cube which can be inscribed in the sphere? |
| A. | 882 sq. cm. |
| B. | 847 sq. cm. |
| C. | 841 sq. cm |
| D. | 1323 sq. cm. |
| Answer» B. 847 sq. cm. | |
| 29. |
The volume of a hollow cube is 216x3. What surface area of the largest sphere which be enclosed in it ? |
| A. | 18πx2 |
| B. | 27πx2 |
| C. | 36πx2 |
| D. | 72πx2 |
| Answer» D. 72πx2 | |
| 30. |
What is the quantity of cloth required to roll up to form a right circular tent whose base is of radius 12 m and height 5 cm ? |
| A. | 40π sq m |
| B. | 60π sq m |
| C. | 78π sq m |
| D. | 156π sq m |
| Answer» E. | |