MCQOPTIONS
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MCQOPTIONS
This section includes 178 Mcqs, each offering curated multiple-choice questions to sharpen your Aptitude knowledge and support exam preparation. Choose a topic below to get started.
| 151. |
A right circular metal cone (solid) is 8 cm high and the radius is 2 cm. It is metaled and recast into a sphere. What is the radius of the sphere ? |
| A. | 2 cm |
| B. | 3 cm |
| C. | 4 cm |
| D. | 5 cm |
| Answer» B. 3 cm | |
| 152. |
A hemispherical basin of 150 cm diameter holds water 120 times as much as a cylindrical tube. If the height of the tube is 15 cm, then the diameter of the tube is ? |
| A. | 27 cm |
| B. | 24 cm |
| C. | 25 cm |
| D. | 26 cm |
| Answer» D. 26 cm | |
| 153. |
A copper sphere of diameter 36 cm is drawn into a wire of diameter 4 mm. Find the length of the wire. ? |
| A. | 2000 m |
| B. | 15000 m |
| C. | 1855 m |
| D. | 1944 m |
| Answer» E. | |
| 154. |
The volumes of a sphere and a right circular cylinder having the same radius are equal. The ratio of the diameter of the sphere to the height of the cylinder is ? |
| A. | 1 : 2 |
| B. | 2 : 1 |
| C. | 2 : 3 |
| D. | 3 : 2 |
| Answer» E. | |
| 155. |
The radius of a sphere and a right circular cylinder are equal and their curved surface areas are also equal. The ratio of their volumes is ? |
| A. | 3 : 4 |
| B. | 2 : 3 |
| C. | 3 : 2 |
| D. | 4 : 3 |
| Answer» C. 3 : 2 | |
| 156. |
A prism has the base a right angled triangle whose sides adjacent to the right angle are 10 cm and 12 cm long. The height of the prism is 20 cm. The density of the material of the prism is 6 g/cu cm. The weight of the prism is ? |
| A. | 3.4 kg |
| B. | 4.8 kg |
| C. | 6.4 kg |
| D. | 7.2 kg |
| Answer» E. | |
| 157. |
The volume of a cuboid is twice the volume of a cube. If the dimensions of total cuboid are 9 cm, 8 cm and 6 cm, then total surface area of the cube will be ? |
| A. | 213 sq cm |
| B. | 216 sq cm |
| C. | 218 sq cm |
| D. | 219 sq cm |
| Answer» C. 218 sq cm | |
| 158. |
Seven equal cubes each of side 5 cm are joined end-to-end. Find the surface area of the resulting cuboid . ? |
| A. | 750 sq cm |
| B. | 1500 sq cm |
| C. | 2250 sq cm |
| D. | 700 sq cm |
| Answer» B. 1500 sq cm | |
| 159. |
A prism and a pyramid have the same base and the same height. Find the ratio of the volumes of the prism and the pyramid ? |
| A. | 1 : 1 |
| B. | 1 : 3 |
| C. | 3 : 1 |
| D. | Cannot be determined |
| Answer» D. Cannot be determined | |
| 160. |
The base of a cone and a cylinder have the same radius 6 cm. They have also the same height 8 cm. The ratio of the curved surface of the cylinder to that of the cone is ? |
| A. | 4 : 3 |
| B. | 5 : 3 |
| C. | 8 : 5 |
| D. | 8 : 3 |
| Answer» D. 8 : 3 | |
| 161. |
A solid metallic cylinder of base radius 3 cm and height 5 cm is melted to form cones, each of height 1 cm and base radius 1 mm. The number of cones is ? |
| A. | 7500 |
| B. | 13500 |
| C. | 3500 |
| D. | 4500 |
| Answer» C. 3500 | |
| 162. |
How many spherical bullets can be made out of a solid cube whose edge measures 44 cm, each bullet being 4 cm in diameter ? |
| A. | 2550 |
| B. | 2541 |
| C. | 2500 |
| D. | 2575 |
| Answer» C. 2500 | |
| 163. |
Water flows at the rate of 10 m/min from a cylindrical pipe 5 mm in diameter. How long will it take to fill up a conical vessel whose diameter at the base is 40 cm and depth is 24 cm ? |
| A. | 51 min 12 s |
| B. | 52 min 1 s |
| C. | 48 min 15 s |
| D. | 55 min |
| Answer» B. 52 min 1 s | |
| 164. |
A cone has height which is half of 16.8 cm, while diameter of its base is 4.2 cm. It is melted and recast into a sphere. Find the surface area of the sphere. ? |
| A. | 55.44 sq cm |
| B. | 60 sq cm |
| C. | 65.58 sq cm |
| D. | 59 sq cm |
| Answer» B. 60 sq cm | |
| 165. |
The number of small cubes with edges of 10 cm that can be accommodated in a cubical box 1 meter edge is ? |
| A. | 10 |
| B. | 100 |
| C. | 1000 |
| D. | 10000 |
| Answer» E. | |
| 166. |
If the volume and surface are of a sphere are numerically the same then its radius is ? |
| A. | 1 unit |
| B. | 2 unit |
| C. | 3 unit |
| D. | 4 unit |
| Answer» D. 4 unit | |
| 167. |
A cylinder and a cone have the same height and same radius of the base. The ratio between the volumes of the cylinder and the cone is ? |
| A. | 1 : 3 |
| B. | 3 : 1 |
| C. | 1 : 2 |
| D. | 2: 1 |
| Answer» C. 1 : 2 | |
| 168. |
Half cubic meter of gold sheet is extended by hammering so as to cover an area of hectare. The thickness of the sheet is ? |
| A. | 0.5 cm |
| B. | 0.05 cm |
| C. | 0.005 cm |
| D. | 0.0005 cm |
| Answer» D. 0.0005 cm | |
| 169. |
The length of longest rod that can be placed in a room 20 m long, 16 m broad and 12 m high, is ? |
| A. | 20 m |
| B. | 16.4 m |
| C. | 48 m |
| D. | 28.2 m |
| Answer» E. | |
| 170. |
The area of the base of a rectangular tank is 6500 sq. cm and the volume of water contained in it is 2.6 cubic meters. The depth of water is ? |
| A. | 3.5 m |
| B. | 4 m |
| C. | 5 m |
| D. | 8 m |
| Answer» C. 5 m | |
| 171. |
What is the maximum number of pieces of 5cm x 5cm x 10 cm of cake that can be cut from a big cake of 5 cm x 30 cm x 30 cm size ? |
| A. | 10 |
| B. | 15 |
| C. | 18 |
| D. | 30 |
| Answer» D. 30 | |
| 172. |
Find the height of the cylinder whose volume is 551 m |
| A. | 7 m |
| B. | 10.5 m |
| C. | 14 m |
| D. | None of these |
| Answer» D. None of these | |
| 173. |
The length of the longest pole that can be placed in a room 12 m long and 9 m wide and 8 m high is ? |
| A. | 12 m |
| B. | 14 m |
| C. | 17 m |
| D. | 21 m |
| Answer» D. 21 m | |
| 174. |
What will be the surface area of the sphere having 4 cm radius ? |
| A. | 64 sq cm |
| B. | 69 sq cm |
| C. | 32 sq cm |
| D. | 35 sq cm |
| Answer» B. 69 sq cm | |
| 175. |
A sphere of radius r has the same volume as that of a cone with circular base of radius r. Find the height of the cone. ? |
| A. | 2r |
| B. | r/3 |
| C. | 4r |
| D. | (2/3)r |
| Answer» D. (2/3)r | |
| 176. |
Find the total surface area of a pyramid having a slant height of 8 cm and a base which is a square of side 4 cm (in cm |
| A. | 80 |
| B. | 64 |
| C. | 72 |
| D. | 84 |
| Answer» B. 64 | |
| 177. |
Three metal cubes of sides 5 cm, 4 cm and 3 cm are melted and recast into a new cube. The length of the edge of this cube, is ? |
| A. | 6 cm |
| B. | 8 cm |
| C. | 10 cm |
| D. | None of these |
| Answer» B. 8 cm | |
| 178. |
If each side of a cube is doubled, then its volume? . |
| A. | Is doubled |
| B. | Becomes 4 times |
| C. | Becomes 6 times |
| D. | Becomes 8 times |
| Answer» E. | |