

MCQOPTIONS
This section includes 68 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. |
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. | 2 : 1 |
B. | 3 : 2 |
C. | 25 : 18 |
D. | 27 : 20 |
Answer» D. 27 : 20 | |
2. |
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 | |
3. |
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 | |
4. |
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. | |
5. |
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 | |
6. |
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 | |
7. |
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 | |
8. |
A right cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is_________? |
A. | 3: 5 |
B. | 2: 5 |
C. | 3: 1 |
D. | 1: 3 |
Answer» E. | |
9. |
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 | |
10. |
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 | |
11. |
A rectangular courtyard, the sides of which are in the ratio of 4:3, cost Rs.600 for paving at 50 p per m2; find the length of the diagonal of the courtyard? |
A. | 25 m |
B. | 35 m |
C. | 45 m |
D. | 50 m |
Answer» E. | |
12. |
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 | |
13. |
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 | |
14. |
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 | |
15. |
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 | |
16. |
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. | |
17. |
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 | |
18. |
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 | |
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. |
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. | |
21. |
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 | |
22. |
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 | |
23. |
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 | |
24. |
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. | |
25. |
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% | |
26. |
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 | |
27. |
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 | |
28. |
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. | |
29. |
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 | |
30. |
A cylinder and a cone have a same height and same radius of the base. The ratio between the volumes of the cylinder and cone is__________? |
A. | 1:3 |
B. | 3:1 |
C. | 1:2 |
D. | 2:1 |
Answer» C. 1:2 | |
31. |
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 | |
32. |
A tank 3 m long, 2 m wide and 1.5 m deep is dug in a field 20 m long and 14 m wide. If the earth dug out is evenly spread out over the field, the level of the field will raise by nearly? |
A. | 0.299 cm |
B. | 0.29 cm |
C. | 2.98 cm |
D. | 4.15 cm |
Answer» D. 4.15 cm | |
33. |
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. | |
34. |
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. | |
35. |
A river 2m deep and 45 m wide is flowing at the rate of 3 kmph the amount of water that runs into the sea per minute is? |
A. | 4500 M3 |
B. | 27000 M3 |
C. | 3000 M3 |
D. | 2700 M3 |
Answer» B. 27000 M3 | |
36. |
A room is 15m long, 4m broad and 3m height. Find the cost of white washing its four walls at 50p per m2 ? |
A. | Rs.60 |
B. | Rs.57 |
C. | Rs.55 |
D. | Rs.52 |
Answer» C. Rs.55 | |
37. |
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 | |
38. |
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 | |
39. |
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 | |
40. |
Surface area of two spheres are in the ratio 1:4 what is the ratio of their volumes? |
A. | 1:64 |
B. | 1:8 |
C. | 1:4 |
D. | 8:1 |
Answer» C. 1:4 | |
41. |
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 | |
42. |
A rectangular field 30 m long and 20 m broad. How much deep it should be dug so that from the earth taken out, a platform can be formed which is 8 m long, 5.5 m broad and 1.5 m high where as the earth taken out is increase by 10/5? |
A. | 12 cm |
B. | 10 cm |
C. | 18 cm |
D. | 24 cm |
Answer» C. 18 cm | |
43. |
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 | |
44. |
Calculate the number of bricks, each measuring 25 cm * 15 cm * 8 cm required to construct a wall of dimensions 10 m * 4 m * 5 m when 10% of its volume is occupied by mortar? |
A. | 4000 |
B. | 5000 |
C. | 6000 |
D. | 7000 |
Answer» D. 7000 | |
45. |
A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 25 m * 2 m * 0.75 m? |
A. | 24000 |
B. | 23000 |
C. | 22000 |
D. | 25000 |
Answer» E. | |
46. |
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 | |
47. |
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. | |
48. |
A metal sheet 27 cm long 8cm broad and 1 cm thick is melted into a cube. The difference between the surface areas of two solids is__________? |
A. | 284 cm2 |
B. | 286 cm2 |
C. | 296 cm2 |
D. | 300 cm2 |
Answer» C. 296 cm2 | |
49. |
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 | |
50. |
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. | |