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This section includes 291 Mcqs, each offering curated multiple-choice questions to sharpen your General Aptitude knowledge and support exam preparation. Choose a topic below to get started.
151. |
What are the dimensions (length, breadth and height, respectively) of a cuboid with volume 720 cu cm, surface area 484 sq cm and the area of the base 72 sq cm ? |
A. | 9, 8 and 10 cm |
B. | 12, 6 and 10 cm |
C. | 18, 4 and 10 cm |
D. | 30, 2 and 12 cm |
Answer» B. 12, 6 and 10 cm | |
152. |
The paint in certain container is sufficient to paint an area equal to dimensions 22.5 cm x 10 cm x 7.5 cm can be painted out of this container ? |
A. | 100 |
B. | 200 |
C. | 50 |
D. | 175 |
Answer» B. 200 | |
153. |
The capacity of a cuboid tank of water is 50000 L. Find the breadth of the tank, if its length and depth are 2.5 m and 10 m, respectively. |
A. | 2 m |
B. | 4 m |
C. | 9 m |
D. | 6 m |
Answer» B. 4 m | |
154. |
The whole surface area of a rectangular block is 8788 sq cm. If length, breadth and height are in ratio of 4 : 3 : 2, then find the length. ? |
A. | 26 cm |
B. | 52 cm |
C. | 104 cm |
D. | 13 cm |
Answer» C. 104 cm | |
155. |
A cube has each edge 2 cm and a cuboid is 1 cm long, 2 cm wide and 3 cm high. The paint in a certain container is sufficient to paint an area equal to 54 cm2. Which one of the following is correct ? |
A. | Both cube and cuboid can be painted |
B. | Only cube can be painted |
C. | Only cuboid can be painted |
D. | Neither cube nor cuboid can be painted |
Answer» B. Only cube can be painted | |
156. |
What is the height of a solid cylinder of radius 5 cm and total surface area is 660 sq cm ? |
A. | 10 cm |
B. | 12 cm |
C. | 15 cm |
D. | 16 cm |
Answer» E. | |
157. |
If the lateral surface area of a cylinder is 94.2 sq cm and its height is 5 cm, then find the radius of its base. (π = 3.14) ? |
A. | 5 cm |
B. | 8 cm |
C. | 3 cm |
D. | 4 cm |
Answer» D. 4 cm | |
158. |
The diameter of the base of a right circular cylinder is 14 cm, while its length is 40 cm. Find the total surface area of the cylinder. ? |
A. | 2068 sq cm |
B. | 1825 sq cm |
C. | 1925 sq cm |
D. | 2160 sq cm |
Answer» B. 1825 sq cm | |
159. |
If each side of a cube is decreased by 19%, then decrease in surface area is ? |
A. | 40% |
B. | 38.4% |
C. | 35% |
D. | 34.39% |
Answer» E. | |
160. |
If the radius of a cylinder is increased by 25% and its height remains unchanged, then find the percent increase in volume. ? |
A. | 56.25% |
B. | 52.25% |
C. | 50.4% |
D. | 60.26% |
Answer» B. 52.25% | |
161. |
If height of cylinder is decreased by 8%, while its radius remains unchanged, by what per cent does the volume decrease ? |
A. | 4% |
B. | 6% |
C. | 8% |
D. | 10% |
Answer» D. 10% | |
162. |
The curved surface area of a cylindrical pillar is 264 sq m and its volume is 924 m3. The ratio of its diameter to its height is ? |
A. | 7 : 3 |
B. | 3 : 7 |
C. | 7 : 6 |
D. | 6 : 7 |
Answer» B. 3 : 7 | |
163. |
The ratio of the radii of two cylinders is 2 : 3 and the ratio of their heights is 5 : 3 . The ratio of their volumes will be ? |
A. | 4 : 9 |
B. | 9 : 4 |
C. | 20 : 27 |
D. | 27 : 20 |
Answer» D. 27 : 20 | |
164. |
What will be the curved surface area of a right circular cylinder having length 160 cm and radius of the base is 7 cm ? |
A. | 6020 sq cm |
B. | 5052 sq cm |
C. | 7045 sq cm |
D. | 7040 sq cm |
Answer» E. | |
165. |
If the height of the right circular cone is increased by 200% and the radius of the base is reduced by 50%, then the volume of the cone ? |
A. | increases by 25% |
B. | increases by 50% |
C. | remains unchanged |
D. | decreases by 25% |
Answer» E. | |
166. |
If the ratio of volumes of two cones is 2 : 3 and the ratio of the radii of their bases is 1 : 2, then the ration of their heights will be ? |
A. | 3 : 8 |
B. | 8 : 3 |
C. | 9 : 2 |
D. | 8 : 1 |
Answer» C. 9 : 2 | |
167. |
The radius of the base of a right circular cone is doubled. To keep the volume fixed, the height of the come will be ? |
A. | half of the previous height |
B. | one-third of the previous height |
C. | one-fourth of the previous height |
D. | 1/√2 times of the previous height |
Answer» D. 1/√2 times of the previous height | |
168. |
Shantanu's cap is in the form of a right circular cone of base radius 7 cm and height 24 cm. Find the area of the sheet required to make 5 such caps. ? |
A. | 5000 sq cm |
B. | 2750 sq cm |
C. | 3000 sq cm |
D. | 2700 sq cm |
Answer» C. 3000 sq cm | |
169. |
If the volume of a right circular cone of height 9 cm is 48π cm3, then find the diameter of its base. ? |
A. | 8 cm |
B. | 4 cm |
C. | 7 cm |
D. | 11 cm |
Answer» B. 4 cm | |
170. |
If the areas of the three adjacent faces of a cuboidal box are 120 cm², 72 cm² and 60 cm² respectively, then find the volume of the box. |
A. | 560 cm³ |
B. | 640 cm³ |
C. | 720 cm³ |
D. | 880 cm³ |
Answer» D. 880 cm³ | |
171. |
The areas of the three adjacent faces of a rectangular box which meet in a point are known. The product of these areas is equal to : |
A. | the square of the volume of the box |
B. | the cube of the volume of the box |
C. | the volume of the box |
D. | none of these |
Answer» B. the cube of the volume of the box | |
172. |
If a metallic cuboid weighs 16 kg, how much would a miniature cuboid of metal weigh, if all dimensions are reduced to one-fourth of the original |
A. | 0.5 kg |
B. | 0.25 kg |
C. | 0.60 kg |
D. | 0.95 kg |
Answer» C. 0.60 kg | |
173. |
A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is : |
A. | 1 cm |
B. | 1 dm |
C. | 4 cm |
D. | 4 dm |
Answer» C. 4 cm | |
174. |
A metallic sheet is of rectangular shape with dimensions 48 m × 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box |
A. | 5120 cm³ |
B. | 6780 cm³ |
C. | 7210 cm³ |
D. | 8480 cm³ |
Answer» B. 6780 cm³ | |
175. |
The volume of a right circular cone is 100π cm3 and its height is 12 cm. Find its slant height. ? |
A. | 13 cm |
B. | 16 cm |
C. | 9 cm |
D. | 26 cm |
Answer» B. 16 cm | |
176. |
The diameter if base of a right circular cone is 7 cm and 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 | |
177. |
The curved surface area of a right circular cone of radius 14 cm is 440 sq cm. what is the slant height of the cone ? |
A. | 10 cm |
B. | 11 cm |
C. | 12 cm |
D. | 13 cm |
Answer» B. 11 cm | |
178. |
The diameter of a roller is 84 cm and its length 120 cm. Its takes 500 complete revolutions to move once over to level a playground (in sq m) ? |
A. | 1632 |
B. | 1817 |
C. | 1532 |
D. | 1584 |
Answer» E. | |
179. |
If the radius of a cylinder is decreased by 8%, while its height is increased by 4%, what will be the effect on volume ? |
A. | 11.9744% (decrease) |
B. | 11.9744% (increase) |
C. | 12.4678% (decrease) |
D. | 12.4678% (increase) |
Answer» B. 11.9744% (increase) | |
180. |
The diameter of the Moon is approximately one-fourth of the diameter of the Earth. What is the ratio (approximate) of their volumes ? |
A. | 4 : 16 |
B. | 1 : 64 |
C. | 1 : 4 |
D. | 1 : 128 |
Answer» C. 1 : 4 | |
181. |
What is the diameter of the largest circle lying on the surface of a sphere of surface area 616 sq cm ? |
A. | 14 cm |
B. | 10.5 cm |
C. | 7 cm |
D. | 3.5 cm |
Answer» B. 10.5 cm | |
182. |
The radius of the base of a right circular cone is increased by 15% keeping the height fixed. The volume of the cone will be increased by. ? |
A. | 30% |
B. | 31% |
C. | 32.25% |
D. | 34.75% |
Answer» D. 34.75% | |
183. |
The diameters of two cones are equal. If their slant heights be in the ratio of 5 : 7, then find the ratio of their curved surface areas. ? |
A. | 25 : 7 |
B. | 25 : 49 |
C. | 5 : 49 |
D. | 5 : 7 |
Answer» E. | |
184. |
If the volume of two right circular cones are in the ratio 1 : 3 and their diameters are in the ratio 3 : 5, then the ratio of their heights is ? |
A. | 25 : 27 |
B. | 1 : 5 |
C. | 3 : 5 |
D. | 5 : 27 |
Answer» B. 1 : 5 | |
185. |
A metallic sphere of radius 12 cm is melted into three smaller spheres. If the radii of two smaller spheres are 6 cm and 8 cm, the radius of the third is ? |
A. | 14 cm |
B. | 16 cm |
C. | 10 cm |
D. | 12 cm |
Answer» D. 12 cm | |
186. |
What will be the difference between total surface area and curved surface area of a hemisphere having 2 cm diameter ? |
A. | 2π sq cm |
B. | 3π sq cm |
C. | π sq cm |
D. | 4π sq cm |
Answer» D. 4π sq cm | |
187. |
A hemisphere has 28 cm diameter. Find its curved surface area. ? |
A. | 1232 sq cm |
B. | 1236 sq cm |
C. | 1238 sq cm |
D. | 1233 sq cm |
Answer» B. 1236 sq cm | |
188. |
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 | |
189. |
Find the number of lead balls of diameter 2 cm each, that can be made from a sphere of diameter 16 cm. ? |
A. | 2048 |
B. | 2055 |
C. | 2058 |
D. | None of the above |
Answer» E. | |
190. |
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 | |
191. |
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. |
A. | 3.4 kg |
B. | 4.8 kg |
C. | 6.4 kg |
D. | 7.2 kg |
Answer» E. | |
192. |
Weight of a solid metallic sphere of radius 4 cm is 4 kg. The weight of a hollow sphere made with same metal, whose outer diameter is 16 cm and inner diameter is 12 cm, is ? |
A. | 20.5 kg |
B. | 15.5 kg |
C. | 16.5 kg |
D. | 18.5 kg |
Answer» E. | |
193. |
If radius of a sphere is decreased by 24%, by what per cent does its surface area decrease ? |
A. | 44% |
B. | 49% |
C. | 42.24% |
D. | 46.2% |
Answer» D. 46.2% | |
194. |
If the radius of a sphere is increased by 3%, then what percent increase takes place in surface area of the sphere ? |
A. | 6.09% |
B. | 7% |
C. | 5.06% |
D. | 9% |
Answer» B. 7% | |
195. |
How many cubes of 10 cm edge can be put in a cubical box of 1 m edge |
A. | 500 |
B. | 1000 |
C. | 1500 |
D. | 2000 |
Answer» C. 1500 | |
196. |
The cost of painting the whole surface area of a cube at the rate of 13 paise per sq. cm is Rs. 343.98. Then the volume of the cube is : |
A. | 6261 cm³ |
B. | 7261 cm³ |
C. | 8261 cm³ |
D. | 9261 cm³ |
Answer» E. | |
197. |
The cost of the paint is Rs. 36.50 per kg. If 1 kg of paint covers 16 square feet, how much will it cost to paint outside of a cube having 8 feet each side |
A. | Rs. 579 |
B. | Rs. 673 |
C. | Rs. 774 |
D. | Rs. 876 |
Answer» E. | |
198. |
Total surface area of a cube whose side is 0.5 cm is : |
A. | 3/2 cm² |
B. | 4/5 cm² |
C. | 7/9 cm² |
D. | none of these |
Answer» B. 4/5 cm² | |
199. |
The perimeter of one face a of cube is 20 cm. Its volume must be : |
A. | 55 cm³ |
B. | 85 cm³ |
C. | 105 cm³ |
D. | 125 cm³ |
Answer» E. | |
200. |
A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube |
A. | 10 : 12 |
B. | 15 : 14 |
C. | 20 : 16 |
D. | 25 : 18 |
Answer» E. | |