MCQOPTIONS
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MCQOPTIONS
This section includes 291 Mcqs, each offering curated multiple-choice questions to sharpen your General Aptitude knowledge and support exam preparation. Choose a topic below to get started.
| 51. |
If the radius of a sphere is increased by 2 cm, then its surface area increased by 352 cm². The radius of the sphere before the increase was : |
| A. | 6 cm |
| B. | 9 cm |
| C. | 12 cm |
| D. | 15 cm |
| Answer» B. 9 cm | |
| 52. |
Spheres A and B have their radii 40 cm and 10 cm respectively. The ratio of the surface area of A to the surface area of B is : |
| A. | 10 : 1 |
| B. | 12 : 1 |
| C. | 14 : 1 |
| D. | 16 : 1 |
| Answer» E. | |
| 53. |
If the height of a cone be doubled and radius of base remains the same, then the ratio of the volume of the given cone to that of the second cone will be : |
| A. | 1 : 2 |
| B. | 3 : 5 |
| C. | 7 : 9 |
| D. | 11 : 13 |
| Answer» B. 3 : 5 | |
| 54. |
If the height of a right circular cone is increased by 200% and the radius of the base is reduced by 50%, then the value of the cone : |
| A. | remains by 25% |
| B. | decreases by 25% |
| C. | increase by 25% |
| D. | remains unaltered |
| Answer» C. increase by 25% | |
| 55. |
If both radius of the base and the height of a right circular cone are increased by 20%, its volume will be increased by : |
| A. | 50.7% |
| B. | 72.8% |
| C. | 66.3% |
| D. | none of these |
| Answer» C. 66.3% | |
| 56. |
If the radius of the base and the height of a right circular cone are doubled, then its volume becomes : |
| A. | 6 times |
| B. | 7 times |
| C. | 8 times |
| D. | 9 times |
| Answer» D. 9 times | |
| 57. |
The radius and height of a right circular cone are in the ratio 3 : 4. If its volume is 96π cm³, what is its slant height |
| A. | 3 cm |
| B. | 5 cm |
| C. | 7 cm |
| D. | 10 cm |
| Answer» E. | |
| 58. |
If the volume of a sphere is divided by its surface area, the result is 27 cm. The radius of the sphere is |
| A. | 64 cm |
| B. | 72 cm |
| C. | 81 cm |
| D. | 94 cm |
| Answer» D. 94 cm | |
| 59. |
A solid cylindrical block of radius 12 cm and height 18 cm is mounted with a conical block of radius 12 cm and height 5 sm. The total lateral surface of the solid thus formed is : |
| A. | 1057 5/7 cm² |
| B. | 1157 5/7 cm² |
| C. | 1257 5/7 cm² |
| D. | 1357 5/7 cm² |
| Answer» E. | |
| 60. |
A cylinder with base radius of 8 cm and height of 2 cm is melted to form a cone of height 6 cm. The radius of the cone will be : |
| A. | 2 cm |
| B. | 4 cm |
| C. | 6 cm |
| D. | 8 cm |
| Answer» E. | |
| 61. |
The volume of the largest right circular cone that can be cut out of a cube of edge 7 cm is : |
| A. | 99.8 cm³ |
| B. | 89.8 cm³ |
| C. | 79.8 cm³ |
| D. | 69.8 cm³ |
| Answer» C. 79.8 cm³ | |
| 62. |
The radii of two cones are in the ratio 2 : 1, their volumes are equal. Find the ratio of their heights. |
| A. | 1 : 1 |
| B. | 1 : 2 |
| C. | 1 : 3 |
| D. | 1 : 4 |
| Answer» E. | |
| 63. |
The volume of the greatest sphere that can be cut off from a cylindrical log of wood of base radius 1 cm and height 5 cm is : |
| A. | 1/3π cm³ |
| B. | 2/3π cm³ |
| C. | 1π cm³ |
| D. | 4/3π cm³ |
| Answer» E. | |
| 64. |
The diameter of the iron ball used for the shot-put game is 14 cm. It is melted and then a solid cylinder of height 2⅓ cm is made. What will be the diameter of the base of the cylinder |
| A. | 7 cm |
| B. | 15 cm |
| C. | 21 cm |
| D. | 28 cm |
| Answer» E. | |
| 65. |
The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm each. The radius of the sphere is : |
| A. | 4 cm |
| B. | 6 cm |
| C. | 8 cm |
| D. | 10 cm |
| Answer» C. 8 cm | |
| 66. |
A solid piece of iron of dimensions 49 × 33 × 24 cm is moulded into a sphere. The radius of the sphere is : |
| A. | 21 cm |
| B. | 22 cm |
| C. | 23 cm |
| D. | 24 cm |
| Answer» B. 22 cm | |
| 67. |
A hollow spherical metallic ball has an external diameter 6 cm and is ½ cm thick. The volume of metal used in the ball is : |
| A. | 46 2/3 cm³ |
| B. | 47 2/3 cm³ |
| C. | 48 2/3 cm³ |
| D. | 49 2/3 cm³ |
| Answer» C. 48 2/3 cm³ | |
| 68. |
A hollow sphere of internal and external diameters 4 cm and 8 cm respectively is melted into a cone of base diameter 8 cm. The height of the cone is : |
| A. | 11 cm |
| B. | 12 cm |
| C. | 13 cm |
| D. | 14 cm |
| Answer» E. | |
| 69. |
A cone of height 9 cm with diameter of its base 18 cm is carved out from a wooden solid sphere of radius 9 cm. The percentage of the wood wasted is : |
| A. | 25% |
| B. | 50% |
| C. | 75% |
| D. | 100% |
| Answer» D. 100% | |
| 70. |
A solid metallic spherical ball of diameter 6 cm is melted and recast into a cone with diameter of the base as 12 cm. The height of the cone is : |
| A. | 1 cm |
| B. | 2 cm |
| C. | 3 cm |
| D. | 4 cm |
| Answer» D. 4 cm | |
| 71. |
12 spheres of the same size are made from melting a solid cylinder of 16 cm diameter and 2 cm height. The diameter of each sphere is : |
| A. | 2 cm |
| B. | 4 cm |
| C. | 6 cm |
| D. | 8 cm |
| Answer» C. 6 cm | |
| 72. |
A cylindrical vessel of radius 4 cm contains water. A solid sphere of radius 3 cm is lowered into the water until it is completely immersed. The water level in the vessel will rise by : |
| A. | 3/4 cm |
| B. | 9/4 cm |
| C. | 11/4 cm |
| D. | 13/4 cm |
| Answer» C. 11/4 cm | |
| 73. |
How many cubes of 3cm edge can be cut out of a cube of 18cm edge |
| A. | 36 |
| B. | 232 |
| C. | 216 |
| D. | 484 |
| Answer» D. 484 | |
| 74. |
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. | 90 cm |
| B. | 1 dm |
| C. | 1 m |
| D. | 1.1 cm |
| Answer» C. 1 m | |
| 75. |
A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is: |
| A. | 720 |
| B. | 900 |
| C. | 1200 |
| D. | 1800 |
| Answer» D. 1800 | |
| 76. |
The curved surface area of a cylindrical pillar is 264 sq.m and its volume is 924 cub.m. Find the ratio of its diameter to its height |
| A. | 3 : 7 |
| B. | 7 : 3 |
| C. | 6 : 7 |
| D. | 7 : 6 |
| Answer» C. 6 : 7 | |
| 77. |
A rectangular block 6 cm by 12 cm by 15 cm is cut up into an exact number of equal cubes. Find the least possible number of cubes. |
| A. | 30 |
| B. | 40 |
| C. | 10 |
| D. | 20 |
| Answer» C. 10 | |
| 78. |
Three solid cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. Find the surface area of the cube so formed |
| A. | 486 |
| B. | 586 |
| C. | 686 |
| D. | 786 |
| Answer» B. 586 | |
| 79. |
The diagonal of a rectangle is sqrt(41) cm. and its area is 20 sq. cm. The perimeter of the rectangle must be: |
| A. | 9 cm |
| B. | 18 cm |
| C. | 20 cm |
| D. | 41 cm |
| Answer» C. 20 cm | |
| 80. |
How many cubes of 10cm edge can be put in a cubical box of 1m edge |
| A. | 10 |
| B. | 100 |
| C. | 1000 |
| D. | 10000 |
| Answer» D. 10000 | |
| 81. |
The dimensions of an open box are 50 cm, 40 cm and 23 cm. Its thickness is 2 cm. If 1 cubic cm of metal used in the box weighs 0.5 gms, find the weight of the box. |
| A. | 8.04kg |
| B. | 8.14kg |
| C. | 8.24kg |
| D. | 9.04kg |
| Answer» B. 8.14kg | |
| 82. |
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. | 2400 |
| B. | 5200 |
| C. | 6400 |
| D. | 7800 |
| Answer» D. 7800 | |
| 83. |
The edges of a cuboid are in the ratio 1: 2 : 3 and its surface area is 88 cm². The volume of the cuboid is |
| A. | 48 cm³ |
| B. | 52 cm³ |
| C. | 62 cm³ |
| D. | 71 cm³ |
| Answer» B. 52 cm³ | |
| 84. |
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 cu. m, its width is: |
| A. | 2 m |
| B. | 4 m |
| C. | 6 m |
| D. | 8 m |
| Answer» C. 6 m | |
| 85. |
A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of man is: |
| A. | 5 kg |
| B. | 20 kg |
| C. | 40 kg |
| D. | 60 kg |
| Answer» E. | |
| 86. |
A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box |
| A. | 4830 |
| B. | 5120 |
| C. | 6420 |
| D. | 8960 |
| Answer» C. 6420 | |
| 87. |
A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm3, then the weight of the pipe is: |
| A. | 3.6 kg |
| B. | 3.696 kg |
| C. | 36 kg |
| D. | 36.9 kg |
| Answer» C. 36 kg | |
| 88. |
66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be: |
| A. | 84 |
| B. | 90 |
| C. | 168 |
| D. | 336 |
| Answer» B. 90 | |
| 89. |
In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is: |
| A. | 75 cubic meter |
| B. | 750 cubic meter |
| C. | 7500 cubic meter |
| D. | 75000 cubic meter |
| Answer» C. 7500 cubic meter | |
| 90. |
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 | |
| 91. |
If the volume of a cube is 64 cu.cm, then the Surface area and the length of the diagonal of the cube is |
| A. | 96 sq.cm and 6.92 cm |
| B. | 164 sq.cm and 18.90 cm |
| C. | 212 sq.cm and 8 cm |
| D. | 88 sq.cm and 7 cm |
| Answer» B. 164 sq.cm and 18.90 cm | |
| 92. |
A cylindrical container of diameter 14 cm and height 6 cm is full of Milk. The Milk is emptied into a rectangular tub of length 33 cm and breadth 14 cm. The height of which Milk rises in the tub is |
| A. | 4cm |
| B. | 8cm |
| C. | 12cm |
| D. | 2cm |
| Answer» E. | |
| 93. |
A cylindrical container of radius 28 m and height 24 m is full of water. The Water is emptied into a swimming pool of length 100 m and breadth 28 m. The height of which Water rises in the swimming poo |
| A. | 21.12 m |
| B. | 32.21m |
| C. | 19.56m |
| D. | 28.50m |
| Answer» B. 32.21m | |
| 94. |
The surface area of a cube is 384 sq.cm ,what will be the volume of a cube |
| A. | 8 cu.cm |
| B. | 512 cu.cm |
| C. | 64 cu.cm. |
| D. | 128 cu.cm |
| Answer» C. 64 cu.cm. | |
| 95. |
A cylindrical container of diameter 42 m and height 24 m is full of Diesel. The Diesel is emptied into a rectangular pool of length 132 m and breadth 56 m. The height of which Diesel rises in the pool |
| A. | 22m |
| B. | 18m |
| C. | 9m |
| D. | 4.5m |
| Answer» E. | |
| 96. |
The length , breadth and height of a rectangular parallelopiped are in the ratio 6:3:1. If the surface area of a cube is equal to the surface area of this parallelopiped , then what is the ratio of th |
| A. | 1:3 |
| B. | 3:2 |
| C. | 3:1 |
| D. | none of these |
| Answer» C. 3:1 | |
| 97. |
A right circular cone of height h is cut by a plane parallel to the base at a distance h/3 from the base, then the volumes of the resulting come and the frustum are in the ratio ? |
| A. | 4/7 |
| B. | 8/19 |
| C. | 6/19 |
| D. | 18/19 |
| Answer» C. 6/19 | |
| 98. |
A tank 30 m long, 20 m wide and 12 m deep is dug in a field 500 m long and 30 m wide. By how much will the level of the field rise, if the Earth dug of the tank is evenly spread over the field ? |
| A. | 0.33 m |
| B. | 0.5 m |
| C. | 0.25 m |
| D. | 0.4 m |
| Answer» C. 0.25 m | |
| 99. |
If each edge of a cube is increased in increased by 50%, the percentage increase in surface area is ? |
| A. | 50 % |
| B. | 75 % |
| C. | 100 % |
| D. | 125 % |
| Answer» E. | |
| 100. |
Two cubes have volumes in the ratio 1: 27, The ratio of their surface areas is ? |
| A. | 1 : 3 |
| B. | 1 : 8 |
| C. | 1 : 9 |
| D. | 1 : 18 |
| Answer» D. 1 : 18 | |