MCQOPTIONS
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MCQOPTIONS
This section includes 11 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Three metallic spheres of radius 2 cm, 4 cm, 8 cm are melted into a single sphere. Find the radius of the resulting sphere. |
| A. | 1009.4 cm<sup>3</sup> |
| B. | 2446.25 cm<sup>3</sup> |
| C. | 1520 cm<sup>3</sup> |
| D. | 2869.4 cm<sup>3</sup> |
| Answer» C. 1520 cm<sup>3</sup> | |
| 2. |
A metallic sphere whose radius is 4 cm is melted and cast into the shape of a right circular cone of radius 7 cm. Find the height of the cylinder? |
| A. | 14.48 cm |
| B. | 22.36 cm |
| C. | 16.40 cm |
| D. | 20.32 cm |
| Answer» D. 20.32 cm | |
| 3. |
What is the formula to find the rise in the water level when x spherical balls are dropped into a cylindrical beaker? |
| A. | ( frac {Volume , of , x , spherical , balls}{Base , area , of , cylinder} ) |
| B. | ( frac {Volume , of , x , spherical , balls}{2(Base , area , of , cylinder)} ) |
| C. | The volume of the cylinder + volume of the beaker |
| D. | The volume of the cylinder 2(volume of the beaker) |
| Answer» B. ( frac {Volume , of , x , spherical , balls}{2(Base , area , of , cylinder)} ) | |
| 4. |
A cylindrical hole of depth 20 m with a radius 5 m is dug from the earth forming a platform of length 14 m and a breadth of 12 m. Find the height of the platform. |
| A. | 8.34 m<sup>3</sup> |
| B. | 11.84 m<sup>3</sup> |
| C. | 7.64 m<sup>3</sup> |
| D. | 9.34 m<sup>3</sup> |
| Answer» E. | |
| 5. |
A sphere having a radius of 3 cm is melted and elongated into a wire having a circular cross-section of radius 0.1 cm. Find the length of the wire? |
| A. | 2400 cm |
| B. | 3100 cm |
| C. | 1200 cm |
| D. | 3600 cm |
| Answer» E. | |
| 6. |
How many cylinders having 2.1 cm of radius and 1.4 cm of height can be made out of a cuboid metal box having dimensions 33 cm, 21 cm, 10.5 cm? |
| A. | 152 |
| B. | 154 |
| C. | 844 |
| D. | 841 |
| Answer» D. 841 | |
| 7. |
A sphere of radius 14 cm is melted and cast into a number of tiny cones of radius 2.33 cm each and height 6 cm. Find the number of cones that will be formed? |
| A. | 726 |
| B. | 816 |
| C. | 721 |
| D. | 821 |
| Answer» E. | |
| 8. |
How many coins of 1 cm in diameter and thickness of 1.2 cm need to be melted to form a cuboid with dimensions of 5 cm 10 cm 4 cm? |
| A. | 193 |
| B. | 213 |
| C. | 184 |
| D. | 282 |
| Answer» C. 184 | |
| 9. |
A well of depth 25 m with a radius 4 m is dug from the earth forming a platform of length 28 m and a breadth of 16 m. Find the height of the platform. |
| A. | 2.8 m<sup>3</sup> |
| B. | 5 m<sup>3</sup> |
| C. | 5.4 m<sup>3</sup> |
| D. | 7.2 m<sup>3</sup> |
| Answer» B. 5 m<sup>3</sup> | |
| 10. |
Three metallic spheres of radius 3 cm, 6 cm, 9 cm are melted into a single sphere. Find the radius of the resulting sphere. |
| A. | 109.4 cm<sup>3</sup> |
| B. | 4071.48 cm<sup>3</sup> |
| C. | 1520 cm<sup>3</sup> |
| D. | 1869.4 cm<sup>3</sup> |
| Answer» C. 1520 cm<sup>3</sup> | |
| 11. |
A metallic sphere whose radius is 5 cm is melted and cast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder. |
| A. | 21.4 cm |
| B. | 43.63 cm |
| C. | 70 cm |
| D. | 72.5 cm<sup>2</sup> |
| Answer» C. 70 cm | |