MCQOPTIONS
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MCQOPTIONS
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.
| 201. |
A cube of edge 5 cm is cut into cubes each of edge 1 cm. The ratio of the total surface area of one of the small cubes to that of the large cube is equal to : |
| A. | 1 : 5 |
| B. | 1 : 15 |
| C. | 1 : 25 |
| D. | 1 : 35 |
| Answer» D. 1 : 35 | |
| 202. |
An iron cube of side 10 cm is hammered into a rectangular sheet of thickness 0.5 cm. If the sides of the sheet are in the ratio 1 : 5, the sides are : |
| A. | 20 cm, 100 cm |
| B. | 40 cm, 200 cm |
| C. | 60 cm, 300 cm |
| D. | 80 cm, 400 cm |
| Answer» B. 40 cm, 200 cm | |
| 203. |
A cuboidal block of 6 cm × 9 cm × 12 cm is cut up into an exact number of equal cubes. The least possible number of cubes will be : |
| A. | 1 |
| B. | 12 |
| C. | 18 |
| D. | 24 |
| Answer» E. | |
| 204. |
How many cubes of 3 cm edge can be cut out of a cube of 18 cm edge |
| A. | 216 |
| B. | 336 |
| C. | 448 |
| D. | 552 |
| Answer» B. 336 | |
| 205. |
The radius of the cylinder is half its height and area of the inner part is 616 sq. cms. Approximately how many litres of milk can it contain |
| A. | 1.3 |
| B. | 1.5 |
| C. | 1.8 |
| D. | 1.11 |
| Answer» C. 1.8 | |
| 206. |
The capacity of a cylindrical tank is 246.4 litres. If the height is 4 metres, what is the diameter of the base |
| A. | 18 m |
| B. | 28 m |
| C. | 38 m |
| D. | 48 m |
| Answer» C. 38 m | |
| 207. |
A circular well with a diameter of 2 metres, is dug to a depth of 14 metres. What is the volume of the earth dug out |
| A. | 44 m³ |
| B. | 66 m³ |
| C. | 88 m³ |
| D. | none of these |
| Answer» B. 66 m³ | |
| 208. |
The volumes of two cubes are in the ratio 8 : 27. The ratio of their surface areas is : |
| A. | 1 : 7 |
| B. | 2: 5 |
| C. | 3 : 7 |
| D. | 4 : 9 |
| Answer» E. | |
| 209. |
If the volumes of two cubes are in the ratio 27 : 1 the ratio of their edges is : |
| A. | 6 : 1 |
| B. | 5 : 1 |
| C. | 4 : 1 |
| D. | 3 : 1 |
| Answer» E. | |
| 210. |
A cylinder tank of diameter 35 cm is full of water. If 11 litres of water is drawn off, the water level in the tank will drop by: |
| A. | 11 3/7 cm |
| B. | 12 3/7 cm |
| C. | 13 3/7 cm |
| D. | 14 3/7 cm |
| Answer» B. 12 3/7 cm | |
| 211. |
X and Y are two cylinders of the same height. The base of X has diameter that is half the diameter of the base of Y. If the height of X is doubled, the volume of X becomes : |
| A. | double the volume of Y |
| B. | half the volume of Y |
| C. | equal to the volume of Y |
| D. | none of these |
| Answer» C. equal to the volume of Y | |
| 212. |
Two right circular cylinders of equal volumes have their heights in the ratio 1 : 2. The ratio of their radii is : |
| A. | 1 : 1 |
| B. | √1 : 1 |
| C. | 2 : 1 |
| D. | √2 : 1 |
| Answer» E. | |
| 213. |
The height of a closed cylinder of given volume and the minimum surface area is : |
| A. | double of its diameter |
| B. | half of its diameter |
| C. | equal to its diameter |
| D. | None of these |
| Answer» D. None of these | |
| 214. |
The curved surface area of a cylindrical pillar is 264 m² and its volume is 924 m³. Find the ratio of its diameter to its height. |
| A. | 7 : 3 |
| B. | 9 : 11 |
| C. | 13 : 17 |
| D. | 21 : 25 |
| Answer» B. 9 : 11 | |
| 215. |
The curved surface of a right circular cone of height 15 cm and base diameter 16 cm is : |
| A. | 106π cm² |
| B. | 116π cm² |
| C. | 126π cm² |
| D. | 136π cm² |
| Answer» E. | |
| 216. |
A cylindrical tube open at both ends is made of metal. The internal diameter of the tube is 11.2 cm and its length is 21 cm. The metal everywhere is 0.4 cm thick. The volume of the metal is: |
| A. | 206.24 cm³ |
| B. | 306.24 cm³ |
| C. | 406.24 cm³ |
| D. | 506.24 cm³ |
| Answer» C. 406.24 cm³ | |
| 217. |
66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be : |
| A. | 54 m |
| B. | 64 m |
| C. | 74 m |
| D. | 84 m |
| Answer» E. | |
| 218. |
The number of coins of radius 0.75 cm and thickness 0.2 cm to be melted to make a right circular cylinder of height 8 cm and base radius 3 cm is : |
| A. | 412 |
| B. | 560 |
| C. | 640 |
| D. | 780 |
| Answer» D. 780 | |
| 219. |
Water flows through a cylindrical pipe of internal diameter 7 cm at 2 m per second. If the pipe is always half full, then what is the volume of water (in litres) discharged in 10 minutes. |
| A. | 4620 |
| B. | 4287 |
| C. | 4845 |
| D. | 4198 |
| Answer» B. 4287 | |
| 220. |
The diagonal of a rectangle is 41 cm and its area is 20 sq. cm. The perimeter of the rectangle must be: |
| A. | 9 cm |
| B. | 18 cm |
| C. | 20 cm |
| D. | 41 cm |
| Answer» C. 20 cm | |
| 221. |
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. | 0.08402777777777777 |
| B. | 0.12638888888888888 |
| C. | 1.0541666666666667 |
| D. | 1.1388888888888888 |
| Answer» D. 1.1388888888888888 | |
| 222. |
A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is: |
| A. | 49 m2 |
| B. | 50 m2 |
| C. | 53.5 m2 |
| D. | 55 m2 |
| Answer» B. 50 m2 | |
| 223. |
What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad? |
| A. | 814 |
| B. | 820 |
| C. | 840 |
| D. | 844 |
| Answer» B. 820 | |
| 224. |
How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm? |
| A. | 5600 |
| B. | 6000 |
| C. | 6400 |
| D. | 7200 |
| Answer» D. 7200 | |
| 225. |
The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height. |
| A. | 0.12986111111111112 |
| B. | 0.29375 |
| C. | 0.2548611111111111 |
| D. | 0.29583333333333334 |
| Answer» C. 0.2548611111111111 | |
| 226. |
A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is: |
| A. | 12 kg |
| B. | 60 kg |
| C. | 72 kg |
| D. | 96 kg |
| Answer» C. 72 kg | |
| 227. |
A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone. The volume of the cone so formed is: |
| A. | 12 cm3 |
| B. | 15 cm3 |
| C. | 16 cm3 |
| D. | 20 cm3 |
| Answer» B. 15 cm3 | |
| 228. |
The ratio b/w the volume of a sphere and the volume of a circumscribing right cylinder is |
| A. | 2:1 |
| B. | 1:5 |
| C. | 1:3 |
| D. | 2:3 |
| Answer» E. | |
| 229. |
The ratio of the volume of a right cylinder and a right circular cone of the same base and height will be |
| A. | 3:1 |
| B. | 2:3 |
| C. | 1:1 |
| D. | none of these |
| Answer» B. 2:3 | |
| 230. |
From a cylindrical log whose height is equal to its diameter, the greatest possible sphere has been taken out. What is the fraction of the original log which is cut away? |
| A. | 1/2 |
| B. | 2 |
| C. | 2/3 |
| D. | 1/2 |
| Answer» D. 1/2 | |
| 231. |
Find the lateral surface area , if the radius and height of a right circular cone are in the ratio 3:4 and its volume is 96Π cm3? |
| A. | 60Πcm2 |
| B. | 10Πcm2 |
| C. | 160Πcm2 |
| D. | none of these |
| Answer» B. 10Πcm2 | |
| 232. |
The length , breadth and height of a rectangular parallelopiped are in the ratio 6:3:1. If the surface area of a cube is equal to the surface area of this parallelopiped , then what is the ratio of the volume of the cube to the volume to the parallelopiped? |
| A. | 1:3 |
| B. | 3:2 |
| C. | 3:1 |
| D. | none of these |
| Answer» C. 3:1 | |
| 233. |
A conical flask of base radius ‘r’ and height ‘h’ is full of water. The water is now poured into a cylinderical flask of radius ‘2r’. What is the height to which water will rise in the flask? |
| A. | h/2 |
| B. | h/6 |
| C. | h |
| D. | h/12 |
| Answer» E. | |
| 234. |
A square has its side equal to the radius of ball. The ball revolves round a side to generate a surface of total area X. If Y be the surface area of the sphere ,then which option is correct? |
| A. | X=Y |
| B. | X=2Y |
| C. | X>Y |
| D. | None of these |
| Answer» B. X=2Y | |
| 235. |
A cone is inscribed in a hemisphere such that their bases are common. If X is the volume of the cone and Y that of the hemisphere, then what is the value of the Y: X. |
| A. | 2:1 |
| B. | 1:2 |
| C. | 2:3 |
| D. | None of these |
| Answer» B. 1:2 | |
| 236. |
The volume of a cuboid whose sides are in the ratio of 1:2:4 is same as that of the cube. What is the ratio of the length of diagonal of cuboid to that of cube? |
| A. | 3. |
| B. | (1.75)1 / 2 |
| C. | 9 |
| D. | 3 and 1 / 2 |
| Answer» C. 9 | |
| 237. |
The paint in a certain container is sufficient to paint an area equals to 5.875m2. How many bricks of dimensions 12.5 cm* 10 cm* 7.5 cm can be painted out of this container? |
| A. | 1200 |
| B. | 234 |
| C. | 100 |
| D. | 245 |
| Answer» D. 245 | |
| 238. |
Two solid spheres of metal having radius 1.5cm and 2cm are molten and the cast into one big sphere. If the radius of the sphere is x, then find x3 ? |
| A. | 11.375 cu.cm |
| B. | 12.08 cu.cm |
| C. | 13.89 cu.cm |
| D. | none of these |
| Answer» B. 12.08 cu.cm | |
| 239. |
Find the length of wire used, if the curved surface of a cylinder is 1000 sq.cm. A wire of diameter 5mm is wound around it, so as to cover it completely? |
| A. | 2000cm |
| B. | 2400cm |
| C. | 3200cm |
| D. | none of these |
| Answer» B. 2400cm | |
| 240. |
If the diameter of a sphere is doubled , how does its surface area change? |
| A. | decrease two times |
| B. | increase two times |
| C. | decreases four times |
| D. | increases four times |
| Answer» E. | |
| 241. |
How many metal balls each of radius 18cm can be made by melting a big metal ball whose radius is 2cm. |
| A. | 729 |
| B. | 81 |
| C. | 78 |
| D. | 189 |
| Answer» B. 81 | |
| 242. |
The diameter of two cones are equal. If their slant height are in the ratio 15:11 . Then the ratio of their curved surface areas are |
| A. | 15:11 |
| B. | 2:1 |
| C. | 3:5 |
| D. | 1:3 |
| Answer» B. 2:1 | |
| 243. |
How many metre of cloth 10 m wide will be required to make a conical tent, the diameter of whose base is 28 m and whose height is 20m. |
| A. | 107.30 |
| B. | 24.5 |
| C. | 72.39 |
| D. | 201 |
| Answer» B. 24.5 | |
| 244. |
What will be the lateral surface area of cone , if its diameter and vertical length are 24 cm and 8 cm respectively? |
| A. | 543.34cm2 |
| B. | 214.2cm2 |
| C. | 432.8cm2 |
| D. | none of these |
| Answer» B. 214.2cm2 | |
| 245. |
A cylindrical container of diameter 42 m and height 24 m is full of Diesel. The Diesel is emptied into a rectangular pool of length 132 m and breadth 56 m. The height of which Diesel rises in the pool is |
| A. | 22m |
| B. | 18m |
| C. | 9m |
| D. | 4.5m |
| Answer» E. | |
| 246. |
The radii and height of two cylinders are in the ratio 4:5 and 3:2 respectively. Find the ratio of their volumes |
| A. | 24:25 |
| B. | 8:11 |
| C. | 12:25 |
| D. | 8:3 |
| Answer» B. 8:11 | |
| 247. |
If the volume of a cube is 4096 cu.cm, then the Surface area and the length of the diagonal of the cube is |
| A. | 1536 sq.cm and 27.71 cm |
| B. | 1164 sq.cm and 118.90 cm |
| C. | 2212 sq.cm and 18 cm |
| D. | 188 sq.cm and 17 cm |
| Answer» B. 1164 sq.cm and 118.90 cm | |
| 248. |
Find the volume, If the surface area of a cube is 2400 sq.cm. |
| A. | 4800 cu.cm |
| B. | 8000 cu.cm |
| C. | 400 cu.cm. |
| D. | 20 cu.cm |
| Answer» C. 400 cu.cm. | |
| 249. |
A metal sphere of radius 3cm is drawn into a wire of diameter 44mm. Then find the length of the wire ? |
| A. | 9cm |
| B. | 30 cm |
| C. | 9m |
| D. | 30m |
| Answer» D. 30m | |
| 250. |
If the side of a cube is increased by x%, then find increase in percent of its volume . |
| A. | [(1+x/100) 3 -1] *100 % |
| B. | [(1+x/100) 3 -1]% |
| C. | [(1+2x/100) 3 -1] |
| D. | none of these. |
| Answer» B. [(1+x/100) 3 -1]% | |