MCQOPTIONS
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MCQOPTIONS
This section includes 63 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics Quizzes knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high? |
| A. | 10 cm |
| B. | 12 cm |
| C. | 15 cm |
| D. | 13 cm |
| Answer» E. | |
| 2. |
Two cylinders are of the same height. Their radii are in the ratio 1: 3. If the volume of the first cylinder is 40 cc. Find the volume of the second cylinder? |
| A. | 360 cc |
| B. | 60 cc |
| C. | 300 cc |
| D. | 36 cc |
| Answer» B. 60 cc | |
| 3. |
Three cubes of metal whose edges are 9, 12 and 15 cm respectively, are melted and one new cube is made. Find the edge of the new cube? |
| A. | 21 cm |
| B. | 19 cm |
| C. | 32 cm |
| D. | 18 cm |
| Answer» E. | |
| 4. |
The volumes of two cubes are in the ratio 27: 125, what shall be the ratio of their surface areas? |
| A. | 6:25 |
| B. | 3:5 |
| C. | 9:25 |
| D. | 16:25 |
| Answer» D. 16:25 | |
| 5. |
The volume of a cube is 1728 cc. Find its surface. |
| A. | 864 cm2 |
| B. | 648 cm2 |
| C. | 486 cm2 |
| D. | 468 cm2 |
| Answer» B. 648 cm2 | |
| 6. |
The surface of a cube is 24sq cm. Find its volume? |
| A. | 8 cc |
| B. | 16 cc |
| C. | 32 cc |
| D. | 64 cc |
| Answer» B. 16 cc | |
| 7. |
The surface area of a cube is 726m2, its volume is? |
| A. | 1300 m3 |
| B. | 1331 m3 |
| C. | 1452 m3 |
| D. | 1542 m3 |
| Answer» C. 1452 m3 | |
| 8. |
The spherical ball of lead 3 cm in diameter is melted and recast into 3 spherical balls. The diameters of two of these are 1 ½ cm and 2 cm respectively. The diameter of third ball is? |
| A. | 2.66 cm |
| B. | 2.5 cm |
| C. | 3 cm |
| D. | 3.5 cm |
| Answer» C. 3 cm | |
| 9. |
The slant height of a cone is 12 cm and radius of the base is 4cm, find the curved surface of the cone. |
| A. | 74 π cm2 |
| B. | 36 π cm2 |
| C. | 48 π cm2 |
| D. | 24 π cm2 |
| Answer» D. 24 π cm2 | |
| 10. |
The sides of a cube are in the ratio 1:2 the ratio of their volume is__________? |
| A. | 1:2 |
| B. | 1:4 |
| C. | 1:8 |
| D. | 2:1 |
| Answer» D. 2:1 | |
| 11. |
The ratio of the volumes of a cube to that of the sphere which will fit inside the cube is________? |
| A. | 4:3 |
| B. | 4:2 |
| C. | 4:4 |
| D. | 6: π |
| Answer» E. | |
| 12. |
The ratio between the radii of two spheres is 1:3. Find the ratio between their volumes? |
| A. | 27:1 |
| B. | 1:27 |
| C. | 1:9 |
| D. | 9:1 |
| Answer» C. 1:9 | |
| 13. |
The radius of the base of cone is 3 cm and height is 4 cm. Find the volume of the cone? |
| A. | 12 π cm3 |
| B. | 6 π cm3 |
| C. | 8 π cm3 |
| D. | 10 π cm3 |
| Answer» B. 6 π cm3 | |
| 14. |
The radius of a wire is decreased to one –third if volume remains the same length will increase |
| A. | 1 Time |
| B. | 3 times |
| C. | 6 times |
| D. | 9 times |
| Answer» E. | |
| 15. |
The radius of a cylindrical vessel is 7cm and height is 3cm. Find the whole surface of the cylinder? |
| A. | 308 sq cm |
| B. | 220 sq cm |
| C. | 440 sq cm |
| D. | 132 sq cm |
| Answer» D. 132 sq cm | |
| 16. |
The radius of a circular cylinder is the same as that of a sphere. Their volumes are equal. The height of the cylinder is________? |
| A. | 4/3 times its radius |
| B. | 2/3 times its radius |
| C. | Equal to it’s radius |
| D. | Equal to it’s diameter |
| Answer» B. 2/3 times its radius | |
| 17. |
The number of solid spheres each of diameter 6 cm, that could be moulded to form a solid metal cylinder of height 45 cm and diameter 4 cm is? |
| A. | 3 |
| B. | 4 |
| C. | 5 |
| D. | 6 |
| Answer» D. 6 | |
| 18. |
The length of the wire of 0.2mm radius that can be drawn after melting a solid copper sphere of diameter 18cm? |
| A. | 24.3 m |
| B. | 243 m |
| C. | 2430 m |
| D. | 24300 m |
| Answer» E. | |
| 19. |
The length of the longest rod that can fit in a cubical room of 4 m side is? |
| A. | 8.66 m |
| B. | 5.196 m |
| C. | 6.928 m |
| D. | 7.264 m |
| Answer» D. 7.264 m | |
| 20. |
The height of two right circular cones are in the ratio 1:2 and their perimeters of their bases are in the ratio 3:4, the ratio of their volume is_________? |
| A. | 3:8 |
| B. | 9:16 |
| C. | 9:32 |
| D. | 9:64 |
| Answer» D. 9:64 | |
| 21. |
The edges of three iron cubes are 6cm; 8cm; 10cm respectively. A new cube was made by melting them. Find the edge of the new cube? |
| A. | 8 cm |
| B. | 12 cm |
| C. | 14 cm |
| D. | 10 cm |
| Answer» C. 14 cm | |
| 22. |
The edges of cuboid are 4 cm; 5 cm and 6 cm. Find its surface area? |
| A. | 120 cm2 |
| B. | 148 cm2 |
| C. | 74 cm2 |
| D. | 15 cm2 |
| Answer» C. 74 cm2 | |
| 23. |
The edges of a cuboid are 4 cm, 5 cm and 6 cm. Find the volume of the cuboid? |
| A. | 120 cm3 |
| B. | 120 cm2 |
| C. | 148 cm2 |
| D. | 15 cm3 |
| Answer» C. 148 cm2 | |
| 24. |
The edges of a cuboid are respectively 3cm, 4cm and 12 cm. Find the length of the diagonal of cuboid. |
| A. | 5 cm |
| B. | 19 cm |
| C. | 13 cm |
| D. | 144 cm |
| Answer» D. 144 cm | |
| 25. |
The edge of three cubes of metal is 3 dm, 4 dm and 5 dm. They are melted and formed into a single cube. Find the edge of the new cube? |
| A. | 3 dm |
| B. | 4 dm |
| C. | 5 dm |
| D. | 6 dm |
| Answer» E. | |
| 26. |
The dimensions of an open box are 52, 40 and 29 cms. Its thickness is 2 cms. If 1 cm3 of metal used in the box weighs 0.5 gms, the weight of the box is________? |
| A. | 8.56 kg |
| B. | 7.76 kg |
| C. | 7.756 kg |
| D. | 6.832 kg |
| Answer» E. | |
| 27. |
The diameters of two spheres are in the ratio 1:2 what is the ratio of their volumes? |
| A. | 3:4 |
| B. | 9:16 |
| C. | 1:8 |
| D. | 4:3 |
| Answer» D. 4:3 | |
| 28. |
The diameters of two spheres are in the ratio 1:2 what is the ratio of their surface area? |
| A. | 1:2 |
| B. | 1:4 |
| C. | 2:1 |
| D. | 4:1 |
| Answer» C. 2:1 | |
| 29. |
The diameter of a cylindrical tin is 6cm and height is 5 cm. Find the volume of the cylinder? |
| A. | 30 π cc |
| B. | 45 π cc |
| C. | 150 π cc |
| D. | 180 π cc |
| Answer» C. 150 π cc | |
| 30. |
The curved surface of a sphere is 64 π cm2. Find its radius? |
| A. | 1 cm |
| B. | 2 cm |
| C. | 4 cm |
| D. | 3 cm |
| Answer» D. 3 cm | |
| 31. |
The areas of the two spheres are in the ratio 1: 4. The ratio of their volume is? |
| A. | 1:4 |
| B. | 1:16 |
| C. | 1:8 |
| D. | 1:64 |
| Answer» D. 1:64 | |
| 32. |
The area of the cardboard(in cm2) needed to make a box of size 25 cm * 15 cm * 8 cm will be__________? |
| A. | 1390 cm2 |
| B. | 695 cm2 |
| C. | 1280 cm2 |
| D. | 1220 cm2 |
| Answer» B. 695 cm2 | |
| 33. |
The area of a base of a cone is 30 cm2. If the height of the cone is 6cm, find its volume? |
| A. | 120 cm3 |
| B. | 40 cm3 |
| C. | 50 cm3 |
| D. | 60 cm3 |
| Answer» E. | |
| 34. |
In digging a pond 20 m * 10 m * 5 m the volumes of the soil extracted will be_________? |
| A. | 100 cu.m |
| B. | 1000 cu.m |
| C. | 10000 cu.m |
| D. | 2000 cu.m |
| Answer» C. 10000 cu.m | |
| 35. |
If the volumes of two cubes are in the ratio 8: 1, the ratio of their edges is_________? |
| A. | 8: 1 |
| B. | 2√2 : 1 |
| C. | 2 : 1 |
| D. | None of these |
| Answer» D. None of these | |
| 36. |
If the volume and surface area of a sphere is numerically the same then it’s radius is_________? |
| A. | 1 unit |
| B. | 2 units |
| C. | 3 units |
| D. | 4 units |
| Answer» D. 4 units | |
| 37. |
If the sides of two cubes are in the ratio 3: 1 the ratio of their total surface area is? |
| A. | 3:1 |
| B. | 8:1 |
| C. | 9:1 |
| D. | 12:1 |
| Answer» D. 12:1 | |
| 38. |
If the sides of a cube are in the ratio 4:3. What is the ratio of their diagonals? |
| A. | 4:3 |
| B. | 16:9 |
| C. | 64:27 |
| D. | 3:4 |
| Answer» B. 16:9 | |
| 39. |
If the radius of the sphere is doubled then it’s volume is increased by? |
| A. | 100 % |
| B. | 200 % |
| C. | 700 % |
| D. | 800 % |
| Answer» D. 800 % | |
| 40. |
If the length, breadth and the height of a cuboid are in the ratio 6: 5: 4 and if the total surface area is 33300 cm2, then length breadth and height in cms, are respectively? |
| A. | 90, 85, 60 |
| B. | 85, 75, 60 |
| C. | 90, 75, 70 |
| D. | 90, 75,60 |
| Answer» E. | |
| 41. |
If the height of a cone is increased by 100% then its volume is increased by_________? |
| A. | 100% |
| B. | 200% |
| C. | 300% |
| D. | 400% |
| Answer» B. 200% | |
| 42. |
If in a box of dimensions 6 m * 5 m * 4 m smaller boxes of dimensions 60 cm * 50 cm * 40 cm are kept in it, then what will be the maximum number of the small boxes that can be kept in it? |
| A. | 500 |
| B. | 1000 |
| C. | 900 |
| D. | 600 |
| Answer» C. 900 | |
| 43. |
If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in cm2) is________? |
| A. | 100π |
| B. | 7π |
| C. | 60π |
| D. | 50π |
| Answer» B. 7π | |
| 44. |
How many shots of 1cm radius can be prepared from a sphere of 3cm radius? |
| A. | 36 |
| B. | 64 |
| C. | 27 |
| D. | 16 |
| Answer» D. 16 | |
| 45. |
How many meters of carpet 50cm, wide will be required to cover the floor of a room 30m * 20m? |
| A. | 1000 |
| B. | 600 |
| C. | 2400 |
| D. | 1200 |
| Answer» E. | |
| 46. |
How many cubes of edge 2 dm can be cut out of a meter cube? |
| A. | 50 |
| B. | 64 |
| C. | 216 |
| D. | 125 |
| Answer» E. | |
| 47. |
Find the ratio of the curved surfaces of two cylinders of same heights if their radii are in the ratio 1:2. |
| A. | 1:2 |
| B. | 2:1 |
| C. | 1:4 |
| D. | 4:1 |
| Answer» B. 2:1 | |
| 48. |
Find the ratio between whole surfaces of a sphere and a hemisphere? |
| A. | 3:4 |
| B. | 4:3 |
| C. | 3:1 |
| D. | 1:3 |
| Answer» C. 3:1 | |
| 49. |
Find the length of the wire required to go 15 times round a square field containing 69696 m2. |
| A. | 15840 m |
| B. | 16840 m |
| C. | 15820 m |
| D. | 15640 m |
| Answer» B. 16840 m | |
| 50. |
Find the expenditure on digging a well 14m deep and of 3m diameter at Rs.15 per cubic meter? |
| A. | Rs.1185 |
| B. | Rs.1285 |
| C. | Rs.1385 |
| D. | Rs.1485 |
| Answer» E. | |