Explore topic-wise MCQs in Mathematics Quizzes.

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.
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.