MCQOPTIONS
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MCQOPTIONS
This section includes 804 Mcqs, each offering curated multiple-choice questions to sharpen your Arithmetic Ability knowledge and support exam preparation. Choose a topic below to get started.
| 51. |
The radius of a cylinder is 5 m more than its height. If the curved surface area of the cylinder is 792 m2, what is the volume of the cylinder ? |
| A. | 712 m3 |
| B. | 244 m3 |
| C. | 544 m3 |
| D. | 306 m3 |
| E. | 462 m3 |
| Answer» D. 306 m3 | |
| 52. |
If the radius of the base and height of a cylinder and cone are each equal to r, and the radius of a hemisphere is also equal to r, then the volumes of the cone, cylinder and hemisphere are in the ratio ? |
| A. | : 2 : 3 |
| B. | : 3 : 2 |
| C. | : 1 : 3 |
| D. | : 2 : 1 |
| Answer» C. : 1 : 3 | |
| 53. |
Two rectangular sheets of paper, each 30 cm × 18 cm are made into two right circular cylinders, one by rolling the paper along its length and the other along the breadth. The ratio of the volumes of the two cylinders, thus formed, is : |
| A. | : 1 |
| B. | : 2 |
| C. | : 3 |
| D. | : 3 |
| Answer» E. | |
| 54. |
How many cubes of 10 cm edge can put in a cubical box of 1 m edge ? |
| A. | 0 |
| B. | 00 |
| C. | 000 |
| D. | 0000 |
| Answer» D. 0000 | |
| 55. |
If the areas of three adjacent faces of a cuboid are x, y, z respectively, then the volume of the cuboid is : |
| A. | $xyz$$ |
| B. | $2xyz$$ |
| C. | $\sqrt {xyz} $$ |
| D. | $3\sqrt {xyz} $$ |
| Answer» D. $3\sqrt {xyz} $$ | |
| 56. |
A rectangular tank measuring 5 m × 4.5 m × 2.1 m is dug in the centre of the field measuring 13.5 m by 2.5 m. The earth dug out is evenly spread over the remaining portion of the field. How much is the level of the field raised ? |
| A. | m |
| B. | .1 m |
| C. | .2 m |
| D. | .3 m |
| Answer» D. .3 m | |
| 57. |
If three metallic spheres of radii 6 cm, 8 cm and 10 cm are melted to form a single sphere, then the diameter of the new sphere will be : |
| A. | 2 cm |
| B. | 4 cm |
| C. | 0 cm |
| D. | 6 cm |
| Answer» C. 0 cm | |
| 58. |
A sphere and a cube have equal surface area. The ratio of the volume of the sphere to that of the cube is : |
| A. | $\sqrt \pi:\sqrt 6 $$ |
| B. | $\sqrt 2 :\sqrt \pi$$ |
| C. | $\sqrt \pi:\sqrt 3 $$ |
| D. | $\sqrt 6 :\sqrt \pi$$ |
| Answer» E. | |
| 59. |
If the volume of a sphere is divided by its surface area, the result is 27 cm. The radius of the sphere is : |
| A. | cm |
| B. | 6 cm |
| C. | 4 cm |
| D. | 1 cm |
| Answer» E. | |
| 60. |
A solid metallic right circular cylinder of base diameter 16 m and height 2 cm is melted and recast into a right circular cone of height three times that of the cylinder. Find the curved surface area of the cone. [Use $$\pi $$ = 3.14] |
| A. | 96.8 cm2 |
| B. | 28.4 cm2 |
| C. | 51.2 cm2 |
| D. | one of these |
| Answer» D. one of these | |
| 61. |
Find the number of coins 1.5 cm in diameter and 0.2 cm thick, to be melted to form a right circular cylinder of height 10 cm and diameter 4.5 cm. |
| A. | 30 |
| B. | 40 |
| C. | 50 |
| D. | 60 |
| Answer» D. 60 | |
| 62. |
The radii of the bases of two cylinders are in the ratio 3 : 4 and their height are in the ratio 4 : 3. The ratio of their volume is : |
| A. | : 3 |
| B. | : 2 |
| C. | : 4 |
| D. | : 3 |
| Answer» D. : 3 | |
| 63. |
Find the cost of a cylinder of radius 14 m and height 3.5 m when the cost of its metal is Rs. 50 per cubic meter : |
| A. | s. 100208 |
| B. | s. 107800 |
| C. | s. 10800 |
| D. | s. 109800 |
| Answer» C. s. 10800 | |
| 64. |
A covered wooden box has the inner measures as 115 cm, 75 cm and 35 cm and the thickness of wood is 2.5 cm. Find the volume of the wood : |
| A. | 1000 cu.cm |
| B. | 1775 cu.cm |
| C. | 2125 cu.cm |
| D. | one of these |
| Answer» D. one of these | |
| 65. |
A cuboidal water tank contains 216 litres of water. Its depth is $$\frac{1}{3}$$ of its length and breadth is $$\frac{1}{2}$$ of $$\frac{1}{3}$$ of the difference between length and depth. The length of the tank is : |
| A. | dm |
| B. | dm |
| C. | 8 dm |
| D. | 2 dm |
| Answer» D. 2 dm | |
| 66. |
The dimensions of a rectangular box are in the ratio 2 : 3 : 4 and the difference between the cost of covering it with sheet of paper at the rate of Rs. 8 and Rs. 9.50 per square metre is Rs. 1248. Find the dimensions of the box in metres. |
| A. | m, 12 m, 8 m |
| B. | m, 9 m, 16 m |
| C. | m, 12 m, 16 m |
| D. | one of these |
| Answer» D. one of these | |
| 67. |
From a cube of side 8 m, a square hole of 3 m side is hollowed from end to end. What is the volume of the remaining solid ? |
| A. | 40 m3 |
| B. | 80 m3 |
| C. | 08 m3 |
| D. | 20 m3 |
| Answer» B. 80 m3 | |
| 68. |
A closed box made of wood of uniform thickness has length, breadth and height 12 cm, 10 cm and 8 cm respectively. If the thickness of the wood is 1 cm, the inner surface area is : |
| A. | 64 cm2 |
| B. | 76 cm2 |
| C. | 56 cm2 |
| D. | 96 cm2 |
| Answer» C. 56 cm2 | |
| 69. |
The breadth of a room is twice its height and half its length. The volume of the room is 512 cu.m. The length of the room is : |
| A. | 6 m |
| B. | 8 m |
| C. | 0 m |
| D. | 2 m |
| Answer» B. 8 m | |
| 70. |
A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm, how much soup the hospital has to prepare daily to serve 250 patients ? |
| A. | 8L |
| B. | 0L |
| C. | 9.5L |
| D. | 8.5L |
| Answer» E. | |
| 71. |
Base of a right prism is a rectangle, the ratio of whose length and breadth is 3 : 2. If the height of the prism is 12 cm and total surface area is 288 sq.cm the volume of the prism is : |
| A. | 91 cm3 |
| B. | 88 cm3 |
| C. | 90 cm3 |
| D. | 86 cm3 |
| Answer» C. 90 cm3 | |
| 72. |
A hemisphere of lead of radius 6 cm is cast into a right circular cone of height 75 cm. The radius of the base of the cone is : |
| A. | .4 cm |
| B. | cm |
| C. | .4 cm |
| D. | .2 cm |
| Answer» D. .2 cm | |
| 73. |
A metallic sphere of radius 5 cm is melted to make a cone with base of the same radius. What is the height of the cone ? |
| A. | cm |
| B. | 0 cm |
| C. | 5 cm |
| D. | 0 cm |
| Answer» E. | |
| 74. |
How many lead shots each 3 mm in diameter can be made from a cuboid of dimensions 9 cm × 11 cm × 12 cm ? |
| A. | 200 |
| B. | 400 |
| C. | 2000 |
| D. | 4000 |
| Answer» E. | |
| 75. |
For a sphere of radius 10 cm, What percent of the numerical value of its volume would be the numerical value of the surface area ? |
| A. | 4% |
| B. | 6.5% |
| C. | 0% |
| D. | 5% |
| Answer» D. 5% | |
| 76. |
The radius of the base and height of a metallic solid cylinder are r cm and 6 cm respectively. It is melted and recast into a solid cone of the same radius of base. The height of the cone is : |
| A. | cm |
| B. | 8 cm |
| C. | 7 cm |
| D. | 4 cm |
| Answer» C. 7 cm | |
| 77. |
A right triangle with sides 3 cm, 4 cm and 5 cm is rotated about the side of 3 cm to form a cone. The volume of the cone so formed is : |
| A. | 2π cm3 |
| B. | 5π cm3 |
| C. | 6π cm3 |
| D. | 0π cm3 |
| Answer» B. 5π cm3 | |
| 78. |
The number of circular pipes with an inside diameter of 1 inch which will carry the same amount of water as a pipe with an inside diameter of 6 inches is : |
| A. | $6\pi $$ |
| B. | $12$$ |
| C. | $36$$ |
| D. | $36\pi $$ |
| Answer» D. $36\pi $$ | |
| 79. |
If the radius of the base of a right circular cylinder is halved, keeping the height same, what is the ratio of the volume of the reduced cylinder to that of the original one ? |
| A. | : 2 |
| B. | : 4 |
| C. | : 8 |
| D. | : 1 |
| Answer» C. : 8 | |
| 80. |
A circular well with a diameter of 2 metres, is dug to a depth of 14 metres. What is the volume of the earth dug out ? |
| A. | 2 m3 |
| B. | 6 m3 |
| C. | 0 m3 |
| D. | 4 m3 |
| Answer» E. | |
| 81. |
V1, V2, V3 and V4 are the volumes of four cubes of side lengths x cm, 2x cm, 3x cm and 4 cm respectively. Some statements regarding these volumes are given below :(i) V1 + V2 + 2V3 < V4(ii) V1 + 4V2 + V3 < V4(iii) 2(V1 + V3) + V2 = V4Which of these statements area correct ? |
| A. | and 2 |
| B. | and 3 |
| C. | and 3 |
| D. | , 2 and 3 |
| Answer» E. | |
| 82. |
An open box is made by cutting the congruent squares from the corners of a rectangular sheet of cardboard of dimension 20 cm × 15 cm. If the side of each square is 2 cm, the total outer surface area of the box is : |
| A. | 48 cm2 |
| B. | 84 cm2 |
| C. | 16 cm2 |
| D. | 60 cm2 |
| Answer» C. 16 cm2 | |
| 83. |
Given that 1 cu. cm of marble weights 25 gms, the weight of a marble block 28 cm in width and 5 cm thick is 112 kg. The length of the block is : |
| A. | 6.5 cm |
| B. | 2 cm |
| C. | 6 cm |
| D. | 7.5 cm |
| Answer» C. 6 cm | |
| 84. |
The sum of the radius and the height of a cylinder is 19 m. The total surface area of the cylinder is 1672 m2, what is the volume of the cylinder ? |
| A. | 080 m3 |
| B. | 940 m3 |
| C. | 220 m3 |
| D. | 660 m3 |
| E. | 800 m3 |
| Answer» B. 940 m3 | |
| 85. |
The length of the longest rod that can be placed in a room of dimensions 10 m × 10 m × 5 m is : |
| A. | 5$$\sqrt 3 $$ m |
| B. | 5 m |
| C. | 0$$\sqrt 2 $$ m |
| D. | $$\sqrt 3 $$ m |
| Answer» C. 0$$\sqrt 2 $$ m | |
| 86. |
A hemispherical bowl has 3.5 cm radius. It is to be painted inside as well as outside. The cost of painting it at the rate of Rs. 5 per 10 sq. cm will be : |
| A. | s. 77 |
| B. | s. 100 |
| C. | s. 175 |
| D. | s. 50 |
| Answer» B. s. 100 | |
| 87. |
A solid is in the form of a right circular cylinder with hemispherical ends. The total length of the solid is 35 cm. The diameter of the cylinder is $$\frac{1}{4}$$ of its height. The surface area of the solid is : |
| A. | 62 cm2 |
| B. | 93 cm2 |
| C. | 50 cm2 |
| D. | 70 cm2 |
| Answer» E. | |
| 88. |
A metallic cone of radius 12 cm and height 24 cm is ,melted and made into spheres of radius 2 cm each. How many spheres are there ? |
| A. | 08 |
| B. | 20 |
| C. | 44 |
| D. | 80 |
| Answer» B. 20 | |
| 89. |
The volume of the largest possible cube that can be inscribed in a hollow spherical ball of radius r cm is : |
| A. | $\frac{2}{{\sqrt 3 }}{r^2}$$ |
| B. | $\frac{4}{{\ 3 }}{r^2}$$ |
| C. | $\frac{8}{{3\sqrt 3 }}{r^3}$$ |
| D. | $\frac{1}{{3\sqrt 3 }}{r^3}$$ |
| Answer» D. $\frac{1}{{3\sqrt 3 }}{r^3}$$ | |
| 90. |
The radii of two sphere are in the ratio 3 : 2. Their volumes will be in the ratio : |
| A. | : 4 |
| B. | : 27 |
| C. | 7 : 8 |
| D. | : 2 |
| Answer» D. : 2 | |
| 91. |
If two cylinders of equal volumes have their heights in the ratio 2 : 3, then the ratio if their radii is : |
| A. | $\sqrt 6 :\sqrt 3 $$ |
| B. | $\sqrt 5 :\sqrt 3 $$ |
| C. | $2 : 3 $$ |
| D. | $\sqrt 3 :\sqrt 2 $$ |
| Answer» E. | |
| 92. |
The volume of a right circular cylinder, 14 cm in height is equal to that of a cube whose edge is 11 cm. The radius of the base of the cylinder is : |
| A. | .2 cm |
| B. | .5 cm |
| C. | 1 cm |
| D. | 2 cm |
| Answer» C. 1 cm | |
| 93. |
A solid cube just gets completely immersed in water when a 0.2 kg mass is placed on it. If the mass is removed, the cube is 2 cm above the water level. What is the length of each side of the cube ? |
| A. | cm |
| B. | cm |
| C. | 0 cm |
| D. | 2 cm |
| Answer» D. 2 cm | |
| 94. |
How many bricks, each measuring 25 cm × 11.25 cm × 6 cm, will be needed to build a wall 8 m × 6 m × 22.5 cm ? |
| A. | 600 |
| B. | 000 |
| C. | 400 |
| D. | 200 |
| Answer» D. 200 | |
| 95. |
A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is : |
| A. | 0 cm |
| B. | dm |
| C. | m |
| D. | .1 m |
| Answer» C. m | |
| 96. |
Ice cream completely filled in a cylinder of diameter 35 cm and height 32 cm is to be served by completely filling identical disposable cones of diameter 4 cm and height 7 cm. The maximum number of persons that can be served this way is : |
| A. | 50 |
| B. | 000 |
| C. | 050 |
| D. | 100 |
| Answer» D. 100 | |
| 97. |
If the area of the base of a right circular cone is 3850 cm2 and its height is 84 cm, then the curved surface area of the cone is : |
| A. | 0001 cm2 |
| B. | 0010 cm2 |
| C. | 0100 cm2 |
| D. | 1000 cm2 |
| Answer» C. 0100 cm2 | |
| 98. |
What part of a ditch, 48 metres long, 16.5 metres board and 4 metres deep can be filled by the earth got by digging a cylindrical tunnel of diameter 4 metres and length 56 metres ? |
| A. | $\frac{1}{9}$$ |
| B. | $\frac{2}{9}$$ |
| C. | $\frac{7}{9}$$ |
| D. | $\frac{8}{9}$$ |
| Answer» C. $\frac{7}{9}$$ | |
| 99. |
Capacity of a cylindrical vessel is 25.872 litres. If the height of the cylinder is three times the radius of its base, what is the area of the base ? |
| A. | 36 cm2 |
| B. | 16 cm2 |
| C. | 232 cm2 |
| D. | annot be determined |
| E. | one of these |
| Answer» C. 232 cm2 | |
| 100. |
A cube of length 1 cm is taken out from a cube of length 8 cm. What is the weight of the remaining portion ? |
| A. | $\frac{7}{8}$$ of the weight of the original cube |
| B. | $\frac{8}{9}$$ of the weight of the original cube |
| C. | $\frac{63}{64}$$ of the weight of the original cube |
| D. | $\frac{511}{512}$$ of the weight of the original cube |
| Answer» E. | |