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.
| 1. |
The difference in volumes of two cubes is 152 m3 and the difference in their one face areas is 20 m2. If the sum of their edge is 10 m, the product of their edge is ? |
| A. | 21 |
| B. | 24 |
| C. | 36 |
| D. | 48 |
| Answer» C. 36 | |
| 2. |
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/ |
| E. | times of the previous height |
| Answer» D. 1/ | |
| 3. |
The ratio of the radius and height of a cone is 5 : 12. Its volume is 3142/7 cm3. Its slant height is ? |
| A. | 18 cm |
| B. | 13 cm |
| C. | 16 cm |
| D. | 15 cm |
| Answer» C. 16 cm | |
| 4. |
If 64 identical small spheres are made out of a big sphere of diameter 8 cm, what is surface area of each small sphere ? |
| A. | cm |
| B. | 2 cm |
| C. | 4 cm |
| D. | 8 cm |
| Answer» D. 8 cm | |
| 5. |
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 | |
| 6. |
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 | |
| 7. |
A solid consists of a circular cylinder with an exact fitting right circular cone placed on the top. The height of the cone is h. If the total volume of the cone, then the height of the cylinder is ? |
| A. | 2h |
| B. | 4h |
| C. | 2h/3 |
| D. | 3h/2 r |
| E. | x 5 |
| Answer» D. 3h/2 r | |
| 8. |
The diagonal of a cube is 2 3 cm. Find the surface area of the cube. |
| A. | 15 sq cm |
| B. | 18 sq cm |
| C. | 25 sq cm |
| D. | 24 sq cm |
| Answer» E. | |
| 9. |
What is volume of a cone having a base of radius 10 cm and height 21 cm ? |
| A. | 2200 cm |
| B. | 3000 cm |
| C. | 5600 cm |
| D. | 6600 cm |
| Answer» B. 3000 cm | |
| 10. |
The diameter of the base of a cone is 6 cm and altitude is 4 cm, What is the approximate curved surface area of the cone ? |
| A. | 45 cm |
| B. | 47 cm |
| C. | 49 cm |
| D. | 51 cm |
| Answer» C. 49 cm | |
| 11. |
The volume of a right circular cone is 100 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 | |
| 12. |
If a right circular cone of vertical height 24 cm has a volume of 1232 cm3, then the area of its curved surface is ? |
| A. | 1254 cm |
| B. | 704 cm |
| C. | 550 cm |
| D. | 154 cm |
| Answer» D. 154 cm | |
| 13. |
The volume of a cuboid is 1989 cm3 , while its length and breadth are 17 cm and 13 cm, respectively, Find the height of the cuboid. ? |
| A. | 9 cm |
| B. | 4 cm |
| C. | 14 cm |
| D. | 7 cm |
| Answer» B. 4 cm | |
| 14. |
The Volume of a wall, 5 times as high as it is broad and 8 times as long as it is high, is 12.8 m3. The breadth of the wall is ? |
| A. | 30 cm |
| B. | 40 cm |
| C. | 22.5 cm |
| D. | 25 cm |
| Answer» C. 22.5 cm | |
| 15. |
A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted into a cube. The difference between the surface area of two solids is ? |
| A. | 284 cm |
| B. | 286 cm |
| C. | 296 cm |
| D. | 300 cm |
| Answer» C. 296 cm | |
| 16. |
The length of longer pole that can be placed on the floor of a room is 10 m and the length of the longest pole that can be placed in the room is 10 2m. The height of the room is ? |
| A. | 6 m |
| B. | 7.5 m |
| C. | 8 m |
| D. | 10 m |
| Answer» E. | |
| 17. |
The length of diagonal of a cube is (14 x 3) cm. The volume of the cube is ? |
| A. | 2744 |
| B. | cm |
| C. | 2744 cm |
| D. | 588 cm |
| E. | 3528 cm |
| Answer» C. 2744 cm | |
| 18. |
If the length breadth and the height of cuboid are in the ratio 6 :5 : 4 and if the total surface area is 33300 cm2, then the length, breadth and height in cm. are respectively ? |
| A. | 90, 85, 60 |
| B. | 85, 75, 60 |
| C. | 90, 75, 70 |
| D. | 90, 75, 60 |
| Answer» E. | |
| 19. |
A river 2 m deep and 45 m wide is running at the rate of 3 km/hr. The amount of water that runs into the per minute is ? |
| A. | 4500 m |
| B. | 27000 m |
| C. | 3000 m |
| D. | 2100 m |
| Answer» B. 27000 m | |
| 20. |
A wooden box (open at the top) of thickness 0.5 cm, length 21 cm, width 11 cm and height 6 cm is painted on the inside. The expenses of painting are 70. What is the rate of painting per square centimetre ? |
| A. | 0.7 per cm |
| B. | 0.5 per cm |
| C. | 0.1 per cm |
| D. | 0.2 per cm |
| Answer» D. 0.2 per cm | |
| 21. |
The sum of the length, breadth and depth of a cuboid is 19 cm and its diagonal is 5 5 cm, its surface area is ? |
| A. | 361 cm |
| B. | 125 cm |
| C. | 236 cm |
| D. | None of these |
| Answer» D. None of these | |
| 22. |
A sphere and a cube have the same surface area. The ratio of the volume of the sphere to that of the cube is ? |
| A. | 1 : 2 |
| B. | |
| C. | : |
| D. | 6 : |
| E. | 3 : 1 |
| Answer» C. : | |
| 23. |
If the surface area of a sphere is 616 sq cm, what is its volume ? |
| A. | 4312/3 cm |
| B. | 4102/3 cm |
| C. | 1257 cm |
| D. | 1023 cm |
| Answer» B. 4102/3 cm | |
| 24. |
The sum of length, breadth and depth of a cuboid is 19 cm and its diagonal is 5 5 cm. Its surface area would be ? |
| A. | 361 m |
| B. | 125 m |
| C. | 246 m |
| D. | 486 m |
| Answer» D. 486 m | |
| 25. |
The radii of two spheres are in the ratio 1 : 2 . The ratio of their surface areas is ? |
| A. | 1 : 2 |
| B. | 1 : 4 |
| C. | 1 : |
| D. | |
| E. | 3 : 8 |
| Answer» C. 1 : | |
| 26. |
The height of cylinder is 14 cm and its curved surface area is 264 sq. cm. The volume of the cylinder is ? |
| A. | 308 cm |
| B. | 396 cm |
| C. | 1448 cm |
| D. | 1232 cm |
| Answer» C. 1448 cm | |
| 27. |
If the volume of a right circular cone of height 9 cm is 48 cm3, then find the diameter of its base. ? |
| A. | 8 cm |
| B. | 4 cm |
| C. | 7 cm |
| D. | 11 cm |
| Answer» B. 4 cm | |
| 28. |
The sun of length, breadth and depth of a cuboid is 19 cm and its diagonal is 5 5 cm. Its surface area is? |
| A. | 361 cm |
| B. | 125 cm |
| C. | 236 cm |
| D. | 486 cm |
| Answer» D. 486 cm | |
| 29. |
A cylindrical box of radius 5 cm contains 10 solid spherical balls, each of radius 5 cm. If the top most ball touches the upper cover of the box, then volume of the empty space in the box is ? |
| A. | 2500/3 cm |
| B. | 50000 cm |
| C. | 2500 cm |
| D. | 5000/3 cm |
| Answer» B. 50000 cm | |
| 30. |
The perimeter of the triangular base of a right prism is 60 cm and the sides of the base are in the ratio 5 : 12 : 13. Then, its volume will be (height of the prism being 60 cm). ? |
| A. | 6000 cm |
| B. | 6600 cm |
| C. | 5400 cm |
| D. | 9600 cm |
| Answer» B. 6600 cm | |
| 31. |
In a shower, 10 cm of rain falls, What will be the volume of water that falls on 1 hect area of ground ? |
| A. | 500 cm |
| B. | 650 cm |
| C. | 1000 cm |
| D. | 750 cm |
| Answer» D. 750 cm | |
| 32. |
A conical flask is full of water. The flask has base radius r and height h, This water is poured into a cylindrical flask of base radius mr. The height of water in the cylindrical flask is ? |
| A. | h/2 m |
| B. | 2h/m |
| C. | h/3m |
| D. | m/2h |
| Answer» D. m/2h | |
| 33. |
A hospital room is to accommodate 56 patients. It should be done in such a way that every patient gets 2.2 m2 of floor and 8.83 of space. If the length of the room is 14 m, then breadth and height of the room are respectively ? |
| A. | 8.8 m, 4 m |
| B. | 8.4 m, 4.2 m |
| C. | 8 m, 4 m |
| D. | 7.8 m, 4.2 m |
| Answer» B. 8.4 m, 4.2 m | |
| 34. |
If the height, curved surface area and the volume of a cone are h, c and V respectively, then 3 Vh3 - c2 + 9V2 will be equal to ? |
| A. | 0 |
| B. | 1 |
| C. | chV |
| D. | V |
| E. | h |
| Answer» B. 1 | |
| 35. |
10 circular plates each of thickness 3 cm, each are placed one above the other and a hemisphere of radius 6 cm is placed on the top just to cover the cylindrical solid. What is the volume of the solid so for formed ? |
| A. | 264 cm |
| B. | 252 cm |
| C. | 236 cm |
| D. | None of these |
| Answer» E. | |
| 36. |
The curved surface area and the total surface area of a cylinder are in the ratio 1 : 2. If the total surface area of the right cylinder is 616 cm2, then its volume is ? |
| A. | 1632 cm |
| B. | |
| C. | 1078 cm |
| D. | 1232 cm |
| E. | 1848 cm |
| Answer» C. 1078 cm | |
| 37. |
Three cubes with sides in the ration 3 : 4 : 5 are melted to form a single cube whose diagonal is 12 3 cm. The sides of the cubes are ? |
| A. | 6 cm, 8 cm , 10 cm |
| B. | 3 cm, 4 cm , 5 cm |
| C. | 9 cm, 12 cm , 15 cm |
| D. | None of these |
| Answer» B. 3 cm, 4 cm , 5 cm | |
| 38. |
The volume of a cube is 512 cm3, Its surface area is ? |
| A. | 64 cm |
| B. | 256 cm |
| C. | 384 cm |
| D. | 512 cm |
| Answer» D. 512 cm | |
| 39. |
The surface area of a cube is 726 m2. Its volume is ? |
| A. | 1300 m |
| B. | 1331 m |
| C. | 1452 m |
| D. | 1542 m |
| Answer» C. 1452 m | |
| 40. |
If the volumes of two cubes are in the ratio 8 : 1, the ratio of their edges, is ? |
| A. | 8 : 1 |
| B. | 2 |
| C. | : 1 |
| D. | 2 : 1 |
| E. | None of these |
| Answer» B. 2 | |
| 41. |
The volume of a sphere is 88/21 x (14)3 cm3. The curved surface of this sphere is ? |
| A. | 2424 cm |
| B. | 2446 cm |
| C. | 2464 cm |
| D. | 2484 cm |
| Answer» D. 2484 cm | |
| 42. |
The side of a cube measures 9 cm. What will be the diagonal of the cube (in cm) ? |
| A. | 5 |
| B. | 7 |
| C. | 9 |
| D. | 3 |
| Answer» D. 3 | |
| 43. |
In a shower, 5 cm of rain falls. The volume of water that falls on 2 hectare of ground, is ? |
| A. | 100 m |
| B. | 1000 m |
| C. | 10 m |
| D. | 10000 m |
| Answer» C. 10 m | |
| 44. |
The length of longest rod that can fit in a cubical vessel of side 10 cm, is ? |
| A. | 10 cm |
| B. | 10 |
| C. | 10 |
| D. | None of these |
| Answer» D. None of these | |
| 45. |
Find the height of the cylinder whose volume is 551 m3 and the area of the base is 36.5 m2. ? |
| A. | 7 m |
| B. | 10.5 m |
| C. | 14 m |
| D. | None of these |
| Answer» D. None of these | |
| 46. |
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 cm2) ? |
| A. | 80 |
| B. | 64 |
| C. | 72 |
| D. | 84 |
| Answer» B. 64 | |
| 47. |
A tank 3 m long, 2 m wide and 1.5 m deep is dug in a field 22 m long and 14 m wide. If the earth dug out is evenly spread out over the field, the rose in level of the field will be ? |
| A. | 0.299 cm |
| B. | 0.29 cm |
| C. | 2.98 cm |
| D. | 4.15 cm |
| Answer» D. 4.15 cm | |
| 48. |
Bricks are worth Rs. 750 per 1000 and their length, breadth and height 25 cm, 12.5 cm and 7.5 cm respectively. The cost of bricks required to build a wall 200 m long, 1.8 m high and 37.5 cm thick is ? |
| A. | Rs. 42, 600 |
| B. | Rs. 43, 200 |
| C. | Rs. 40, 750 |
| D. | Rs. 41, 860 |
| Answer» C. Rs. 40, 750 | |
| 49. |
The length of longer pole that can be placed on the floor of a room is 10 m and the length of the longest pole that can be placed in the room is 10 |
| A. | 6 m |
| B. | 7.5 m |
| C. | 8 m |
| D. | 10 m |
| Answer» E. | |
| 50. |
The length, breadth and height of a room are l, b and h, respectively. The perimeter of the ceiling expressed as a percentage of the total area of the four walls, is ? |
| A. | 100h% |
| B. | 100/h% |
| C. | h% |
| D. | h/100% |
| Answer» C. h% | |