Explore topic-wise MCQs in Maths.

This section includes 151 Mcqs, each offering curated multiple-choice questions to sharpen your Maths knowledge and support exam preparation. Choose a topic below to get started.

51.

If a cube whose side is 7.5 cm, what will be its volume?

A. $$ {421.875 cm^{3}}$$
B. $$ {759.375 cm^{3}}$$
C. $$ {631.810 cm^{3}}$$
D. $$ {210.94 cm^{3}}$$
Answer» B. $$ {759.375 cm^{3}}$$
52.

A right circular cone of largest volume is cut out from a solid wooden hemisphere. The remaining material is what percentage of the volume of the original hemisphere?

A. 50 %
B. $$ {33{1 over3}}{ %}$$
C. 75 %
D. $$ {66{2 over3}}{ %}$$
Answer» B. $$ {33{1 over3}}{ %}$$
53.

The area of square field is $$ ({69696})^{2}$$. Its diagonal will be equal to (use 2 = 1.414)

A. 313.296 m
B. 353.296 m
C. 373.296 m
D. 393.296 m
Answer» D. 393.296 m
54.

The volume of a cube is $$ 512{cm}^{3}$$. Its surface area (in sq cm) is

A. 284
B. 384
C. 484
D. 576
Answer» C. 484
55.

The wooden box measure 20 cm by 12 cm by 10 cm. Thickness of wood is 1 cm. The volume of wood to make the box (in cubic cm) is

A. 960
B. 519
C. 2400
D. 1.120
Answer» B. 519
56.

A hollow iron pipe is 21 cm long and its exterior diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weights $$ 8 g/cm^3 $$, then the weight of the pipe ($$ = {22 over7}$$) is.

A. 3.696 kg
B. 3.6 kg
C. 36 kg
D. 36.9 kg
Answer» B. 3.6 kg
57.

The height of a wall is six times its width and the length of the wall is seven times its height. If volume of the wall be 16128 cube m, its width is

A. 5m
B. 4m
C. 4.5m
D. 6m
Answer» C. 4.5m
58.

An iron pipe 20 cm long has exterior diameter 25 cm. If the thickness of the pipe is 1 cm, then the whole surface area of the pipe?

A. $$ {3168 cm^{2}}$$
B. $$ {3186 cm^{2}}$$
C. $$ {3200 cm^{2}}$$
D. $$ {3150 cm^{2}}$$
Answer» B. $$ {3186 cm^{2}}$$
59.

A cuboidal block of 6 cm 9 cm 12 cm is cut into exact number of equal cubes. The least possible number of cubes will be:

A. 6
B. 9
C. 24
D. 30
Answer» D. 30
60.

The heights of a cone, cylinder and hemisphere are equal. If their radii are in the ratio 2:3:1, then the ratio of their volumes is:

A. 2:9:2
B. 4:9:1
C. 4: 27:2
D. 2 : 3: 1
Answer» D. 2 : 3: 1
61.

The area of an equilateral triangle inscribed in a circle is $$ 9 3 cm^2$$ . The area of the circle is:

A. $$ 8 3cm^2$$
B. $$ 13 cm^2 $$
C. $$ 12 cm^2 $$
D. $$ 36 cm^2 $$
Answer» D. $$ 36 cm^2 $$
62.

What will be the area of the curved surface of an elliptical cylinder whose height and diameter are 10 cm and 8 cm respectively?

A. 20
B. 168
C. 80
D. 40
Answer» D. 40
63.

The total surface area of a cube is 864 square cm. What will be its volume?

A. 216
B. 1728
C. 729
D. 512
Answer» C. 729
64.

If the height of a perpendicular cylinder is 10 cm and its curved surface area is 440 square cm, what is its radius?

A. 17.5 cm
B. 10.5 cm
C. 14 cm
D. 7 cm
Answer» E.
65.

If a side of a square is a, then what will be the area of the square on its diagonal?

A. $$ { sqrt{2}a^{2}}$$
B. $$ {{2}a^{2}}$$
C. $$ {{5}a^{2}}$$
D. $$ {a^{2}}$$
Answer» C. $$ {{5}a^{2}}$$
66.

The area of a triangle is 24 square cm. If one side of it is 4 cm, what will be the height of the triangle?

A. 15 cm
B. 18 cm
C. 24 cm
D. 12 cm
Answer» E.
67.

The ratio of Volume of two spheres A and B is 8 : 1. The Surface Area of Sphere B is 616 cm2. Find the radius of sphere A.

A. 14 cm
B. 16 cm
C. 10 cm
D. 12 cm
Answer» B. 16 cm
68.

The radius of a cone is 20 cm and height is 21 cm, the total surface area of the cone is in square cm:

A. 3080
B. 3160
C. 2920
D. 3240
Answer» B. 3160
69.

The curved surface area of a cylindrical pillar is 264 square meter and its volume is 924 cubic meters. Find the ratio of its diameter to its height.

A. 7 : 6
B. 3 : 7
C. 7 : 3
D. 6 : 7
Answer» D. 6 : 7
70.

Two cones have their heights in the ratio 1:3 and the radii of their bases in the ratio 3:1. Find the ratio of their volumes?

A. 3:1
B. 2:1
C. 4:1
D. 5:1
Answer» B. 2:1
71.

The length, width and height of a cuboid are 18 cm, 24 cm, and 4 cm, respectively. The volume of the cube is equal to the volume of the given cuboid. The arm of the cube is:

A. 16 cm
B. 12 cm
C. 9 cm
D. 8 cm
Answer» C. 9 cm
72.

The volume of a prism is 288cm3 and height is 24cm. The area of the base of the prism (cm2) is:

A. 10
B. 15
C. 12
D. 14
Answer» D. 14
73.

If the perimeter of a circular plot is equal to the perimeter of a square plot, what will be the ratio of their areas?

A. 12:11
B. 14:11
C. 6:11
D. 7:11
Answer» C. 6:11
74.

The diameter of a circle is equal to the perimeter of a square whose area is 3136 sq cm. What is the circumference of the circle?

A. 352 cm
B. 704 cm
C. 394 cm
D. Cannot be determined
E. None of these
Answer» C. 394 cm
75.

If the area of a triangle is 616 square cm, then its perimeter will be-

A. 88 cm
B. 44 cm
C. 132 cm
D. 161 cm
Answer» B. 44 cm
76.

The ratio of the radii of two wheels is 3: 4, then the ratio of their circumferences will be.

A. 2 : 3
B. 4 : 3
C. 3 : 4
D. 3 : 5
Answer» D. 3 : 5
77.

The ratio between the volume (cm3) of a cylinder and the curved surface area (cm2) is numerically 14: 1. If the height of the cylinder is 50 cm, what is the volume of the cylinder (cm3) ?

A. 61600
B. 92400
C. 123200
D. 184800
Answer» D. 184800
78.

The area covered by a square is 308 square cm. The length of the diagonal of the square is.

A. 16 cm
B. 28 cm
C. 24 cm
D. 22 cm
Answer» C. 24 cm
79.

The curved surface area of a cylindrical pillar is $$ {264 m^{2}}$$ and its volume is $$ {924 m^{3}}$$. Find the ratio of its diameter to its height.

A. 3 : 7
B. 7 : 3
C. 6 : 7
D. 7 : 6
E. 5 : 4
Answer» C. 6 : 7
80.

What is the total surface area and curved surface area of a solid semi circle with radius of 14 cm?

A. $$ {5544cm^2},1848 cm^2 $$
B. $$ {1848cm^2},1232 cm^2 $$
C. $$ {924cm^2},616 cm^2 $$
D. $$ {2772cm^2},1848 cm^2 $$
Answer» C. $$ {924cm^2},616 cm^2 $$
81.

The radius of a semicircle is 35 cm, find its area and perimeter.

A. 1040 sq.cm and 140 cm
B. 1925 sq.cm and 180 cm
C. 1890 sq.cm and 90 cm
D. 1730 sq.cm and 90 cm/
Answer» C. 1890 sq.cm and 90 cm
82.

A polygon has 14 sides then find out No. of diagonals in that polygon.

A. 75
B. 76
C. 77
D. 80
Answer» D. 80
83.

Find the area of a quadrilateral whose diagonal is 10 cm. And the length of the length put on it is 6 cm and 5 cm respectively.

A. 55 sq.cm
B. 40 sq.cm
C. 45 sq.cm
D. 90 sq.cm
Answer» B. 40 sq.cm
84.

The ratio of the volume of right circular cylinder and a right circular cone of the same base and height will be:

A. 1:3
B. 2:3
C. 3:2
D. 3:1
Answer» E.
85.

A cylindrical well of depth 21 m with internal radius of 13 m is dug up. The mud, so detained, is spread evenly to form a platform of dimension 52 13.2. What is the height of the platform?

A. 62.5 m
B. 37.5 m
C. 13.4 m
D. 18.2 m
Answer» C. 13.4 m
86.

A right pyramid stands on a rectangular base whose sides are 24 cm and 18 cm and on the shorter side, the slant height is 17 cm. Find the volume of the pyramid.

A. 1735.5 cm3
B. 1152 cm3
C. 1733.5 cm3
D. 1752 cm3
Answer» C. 1733.5 cm3
87.

If the length of the diagonal AC of a square ABCD is 5.2 cm, then the area of the square is:

A. 15.12 sq. cm
B. 13.52 sq. cm
C. 12.62 sq. cm
D. 10.00 sq. cm
Answer» C. 12.62 sq. cm
88.

The length of the diagonal of a square is 'a' cm. Which of the following represents the area of the square (in sq. cm)?

A. 2a
B. a 2
C. $$a^2 2$$
D. $$a2 4$$
Answer» D. $$a2 4$$
89.

What is the area of a rectangle , if its diagonal s 61 cm and one of its sides is 11 cm ?

A. $$ 660cm^2$$
B. $$ 720cm^2$$
C. $$ 616cm^2$$
D. $$ 633cm^2$$
Answer» B. $$ 720cm^2$$
90.

The bisector of B in ABC meets AC at D. If AB=10 cm and BC=11 cm and AC=14 cm, then the length of AD is:

A. $$ {20 over3}$$
B. 22
C. $$ {22 over3}$$
D. 20
Answer» B. 22
91.

The base of a right prism is a tringle with sides 20 cm, 21 cm and 29 cm. If its volume is 7560 cm3, then its lateral surface area ( in cm2) is:

A. 2556
B. 2448
C. 2520
D. 2484
Answer» D. 2484
92.

A field roller, in the shape of a cylinder, has a diameter of 1 meter and length of $$ {1}{1 over4}$$ meter. If the speed at which the roller rolls is 14 revolutions per minute, then the maximum area ( in m2) that it can roll in 1 hour is:

A. 3600
B. 3560
C. 3960
D. 3300
Answer» E.
93.

The area of the base of a right circular cone is 400 and its height is 15 cm. The curved surface of the cone ( in cm2) is:

A. 560
B. 500
C. 450
D. 480
Answer» C. 450
94.

A circular ground of radius 7 m is surrounded by a path of width 3.5 m. Find the area of path.

A. 202 sq.m
B. 154 sq.m
C. 192.5 sq.m
D. 346.5 sq.m
Answer» D. 346.5 sq.m
95.

A solid cube, whose diagonal is $$ 128 { sqrt {2}} cm $$, is molded to form a cuboid. The length and width of the cuboid are 512 cm and 160 cm, respectively. What is the height of the cuboid?

A. 16 cm
B. 25.6 cm
C. 20.8 cm
D. 16.4 cm
Answer» C. 20.8 cm
96.

If the circumference of a circle is 4.4 m, then the area of the circle (in m2) is :

A. 49/
B. 49
C. 4.9
D. None of these
Answer» E.
97.

The volume of a solid right circular cone is 600 cm3, and the diameter of its base is 30 cm. The total surface area (in cm2) of the cone is:

A. 480
B. 255
C. 472
D. 496
Answer» B. 255
98.

If the perimeter of a triangle is 30 cm and the area is 30 square cm, if the length of the larger side is 13 cm, then what is the length of the shorter side?

A. 4 cm
B. 6 cm
C. 5 cm
D. 10 cm
Answer» D. 10 cm
99.

The ratio of the sides of a triangle is 3: 4: a and the area of this triangle is 216 square cm. And the perimeter of this triangle is 72 cm. Then the value of a will be -

A. 8 cm
B. 5 cm
C. 6 cm
D. 12 cm
Answer» C. 6 cm
100.

From a circle of radius a, a sector, which subtend an angle /5 at the centre has been cut off. The perimeter of the remaining part of the circle is

A. 2 a
B. $$ { over 5}{a}$$
C. $$ {7 over 5}{a}$$
D. $$ {9 over 5}{a}$$
Answer» E.