

MCQOPTIONS
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. | |