MCQOPTIONS
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MCQOPTIONS
This section includes 178 Mcqs, each offering curated multiple-choice questions to sharpen your Aptitude knowledge and support exam preparation. Choose a topic below to get started.
| 51. |
A cylindrical tub of radius 12 cm contains water to a depth of 20 cm. A spherical iron ball is dropped into the tub and thus the level of water is raised by 6.75 cm. What is the radius of the ball ? |
| A. | 6 cm |
| B. | 9 cm |
| C. | 8 cm |
| D. | None of these |
| Answer» C. 8 cm | |
| 52. |
A cylindrical vessel of radius 4 cm contains water. A solid sphere of radius 3 cm lowered into the water until it is completely immersed. The water level in the vessel will rise by ? |
| A. | 4/9 cm |
| B. | 9/4 cm |
| C. | 2/3 cm |
| D. | 4/5 cm |
| Answer» C. 2/3 cm | |
| 53. |
A wooden box of dimensions 8 m x 7 m x 6 m is to carry rectangular boxes of dimensions 8 cm x 7 cm x 6 cm. The maximum number of boxes that can be carried in 1 wooden box is ? |
| A. | 1200000 |
| B. | 1000000 |
| C. | 9800000 |
| D. | 7500000 |
| Answer» C. 9800000 | |
| 54. |
If the length breadth and the height of cuboid are in the ratio 6 :5 : 4 and if the total surface area is 33300 cm |
| A. | 90, 85, 60 |
| B. | 85, 75, 60 |
| C. | 90, 75, 70 |
| D. | 90, 75, 60 |
| Answer» E. | |
| 55. |
A rectangular tank measuring 5 m x 4.5 m x 2.1 m is dug in the centre of the field measuring 13.5 m x 2.5 m . The Earth dug out is spread evenly over the remaining portion of the field. How much is the level of the field raised ? |
| A. | 4.02 m |
| B. | 4.10 m |
| C. | 4.20 m |
| D. | 4.30 m |
| Answer» B. 4.10 m | |
| 56. |
The base radius and height of a cone are doubled. The ratio of the new volume to original volume is ? |
| A. | 8 : 7 |
| B. | 8 : 3 |
| C. | 8 : 1 |
| D. | 8 : 5 |
| Answer» D. 8 : 5 | |
| 57. |
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 | |
| 58. |
If radius of sphere is decreased by 24%. By what per cent does the surface area decrease ? |
| A. | 44% |
| B. | 49% |
| C. | 42.24% |
| D. | 46.2% |
| Answer» D. 46.2% | |
| 59. |
If the number representing volume and surface area of a cube are equal, then the length of edge of a cube in terms of the unit of measurement will be ? |
| A. | 3 |
| B. | 4 |
| C. | 5 |
| D. | 6 |
| Answer» E. | |
| 60. |
A rectangular tank has 2.6 cu m of water. If the area of the base of the tank is 6500 sq cm, then the depth of water (in m) is ? |
| A. | 3.5 |
| B. | 4 |
| C. | 5 |
| D. | 8 |
| Answer» C. 5 | |
| 61. |
A rectangular sump of dimension 6 m x 5 m x 4 m is to be built by using bricks to make the outer dimension 6.2 m x 5.2 m x 4.2 m. Approximately how many bricks of size 20 cm x 10 cm x 5 cm are required to build of size 20 cm x 10 cm 5 cm are required to build the sump for storing water ? |
| A. | 15408 |
| B. | 15409 |
| C. | 16408 |
| D. | 15448 |
| Answer» B. 15409 | |
| 62. |
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 | |
| 63. |
If height of a cylinder is increased by 17.5 % while its radius remains unchanged, by what percent does its volume increase ? |
| A. | 17.5% |
| B. | 18% |
| C. | 19.8% |
| D. | 25% |
| Answer» E. | |
| 64. |
If each side of a cube is decreased by 19 %, then decrease in surface area of cube is ? |
| A. | 40.4% |
| B. | 38.4% |
| C. | 35.6% |
| D. | 34.39% |
| Answer» E. | |
| 65. |
If the height of the right circular cone is increased by 200% and the radius of the base is reduced by 50%. Then, the change in the volume of cone is ? |
| A. | increase by 25% |
| B. | increase by 50% |
| C. | remains unchanged |
| D. | decreases by 25% |
| Answer» E. | |
| 66. |
The radius of a wire is decreased to one-third. If volume remains the same, length will increase ? |
| A. | 1 time |
| B. | 2 times |
| C. | 6 times |
| D. | 9 times |
| Answer» E. | |
| 67. |
Three cubes with sides in the ration 3 : 4 : 5 are melted to form a single cube whose diagonal is 12 |
| A. | 6 cm, 8 cm , 10 cm |
| B. | 3 cm, 4 cm , 5 cm |
| C. | 9 cm, 12 cm , 15 cm |
| D. | None of these |
| Answer» B. 3 cm, 4 cm , 5 cm | |
| 68. |
If 1 cubic cm of cast iron weights 21 gm, then the weight of a cast iron pipe of length 1 m with a bore of 3 cm and in which the thickness of the metal is 1 cm, is ? |
| A. | 21 kg |
| B. | 24.2 kg |
| C. | 26.4 kg |
| D. | 18.6 kg |
| Answer» D. 18.6 kg | |
| 69. |
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 | |
| 70. |
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. | |
| 71. |
The difference in volumes of two cubes is 152 m |
| A. | 21 |
| B. | 24 |
| C. | 36 |
| D. | 48 |
| Answer» C. 36 | |
| 72. |
The Volume of a wall, 5 times as high as it is broad and 8 times as long as it is high, is 12.8 m |
| A. | 30 cm |
| B. | 40 cm |
| C. | 22.5 cm |
| D. | 25 cm |
| Answer» C. 22.5 cm | |
| 73. |
If the radius of a sphere is increased by 3%, then what percent increase takes place in surface area of the sphere ? |
| A. | 6.09% |
| B. | 7% |
| C. | 5.06% |
| D. | 9% |
| Answer» B. 7% | |
| 74. |
If radius of a sphere is decreased by 24%, by what per cent does its surface area decrease ? |
| A. | 44% |
| B. | 49% |
| C. | 42.24% |
| D. | 46.2% |
| Answer» D. 46.2% | |
| 75. |
If the ratio of the diameters of two spheres is 3: 5, then what is the ratio of their surface areas ? |
| A. | 9 : 25 |
| B. | 9 : 10 |
| C. | 3 : 5 |
| D. | 27 : 125 |
| Answer» B. 9 : 10 | |
| 76. |
A hemisphere has 28 cm diameter. Find its curved surface area. ? |
| A. | 1232 sq cm |
| B. | 1236 sq cm |
| C. | 1238 sq cm |
| D. | 1233 sq cm |
| Answer» B. 1236 sq cm | |
| 77. |
What will be the difference between total surface area and curved surface area of a hemisphere having 2 cm diameter ? |
| A. | 2 sq cm |
| B. | 3 sq cm |
| C. | sq cm |
| D. | 4 sq cm |
| Answer» D. 4 sq cm | |
| 78. |
A metallic sphere of radius 12 cm is melted into three smaller spheres. If the radii of two smaller spheres are 6 cm and 8 cm, the radius of the third is ? |
| A. | 14 cm |
| B. | 16 cm |
| C. | 10 cm |
| D. | 12 cm |
| Answer» D. 12 cm | |
| 79. |
The floor of a rectangular hall has a perimeter 250 m. If the cost of painting the four walls at the rate of 10 per sq m is 15000, then find the height of the hall ? |
| A. | 8 m |
| B. | 6 m |
| C. | 9 m |
| D. | 7 m |
| Answer» C. 9 m | |
| 80. |
If the volume of two right circular cones are in the ratio 1 : 3 and their diameters are in the ratio 3 : 5, then the ratio of their heights is ? |
| A. | 25 : 27 |
| B. | 1 : 5 |
| C. | 3 : 5 |
| D. | 5 : 27 |
| Answer» B. 1 : 5 | |
| 81. |
If the height of the right circular cone is increased by 200% and the radius of the base is reduced by 50%, then the volume of the cone ? |
| A. | increases by 25% |
| B. | increases by 50% |
| C. | remains unchanged |
| D. | decreases by 25% |
| Answer» E. | |
| 82. |
The diameters of two cones are equal. If their slant heights be in the ratio of 5 : 7, then find the ratio of their curved surface areas. ? |
| A. | 25 : 7 |
| B. | 25 : 49 |
| C. | 5 : 49 |
| D. | 5 : 7 |
| Answer» E. | |
| 83. |
The radius of the base of a right circular cone is increased by 15% keeping the height fixed. The volume of the cone will be increased by. ? |
| A. | 30% |
| B. | 31% |
| C. | 32.25% |
| D. | 34.75% |
| Answer» D. 34.75% | |
| 84. |
What is the diameter of the largest circle lying on the surface of a sphere of surface area 616 sq cm ? |
| A. | 14 cm |
| B. | 10.5 cm |
| C. | 7 cm |
| D. | 3.5 cm |
| Answer» B. 10.5 cm | |
| 85. |
Shantanu's cap is in the form of a right circular cone of base radius 7 cm and height 24 cm. Find the area of the sheet required to make 5 such caps. ? |
| A. | 5000 sq cm |
| B. | 2750 sq cm |
| C. | 3000 sq cm |
| D. | 2700 sq cm |
| Answer» C. 3000 sq cm | |
| 86. |
The diameter if base of a right circular cone is 7 cm and height is 10 cm , then what is its lateral surface area ? |
| A. | 110 sq cm |
| B. | 100 sq cm |
| C. | 70 sq cm |
| D. | 49 sq cm |
| Answer» B. 100 sq cm | |
| 87. |
The volume of a right circular cone is 100 cm |
| A. | 13 cm |
| B. | 16 cm |
| C. | 9 cm |
| D. | 26 cm |
| Answer» B. 16 cm | |
| 88. |
If the volume of a right circular cone of height 9 cm is 48 cm |
| A. | 8 cm |
| B. | 4 cm |
| C. | 7 cm |
| D. | 11 cm |
| Answer» B. 4 cm | |
| 89. |
The diameter of a roller is 84 cm and its length 120 cm. Its takes 500 complete revolutions to move once over to level a playground (in sq m) ? |
| A. | 1632 |
| B. | 1817 |
| C. | 1532 |
| D. | 1584 |
| Answer» E. | |
| 90. |
A cylindrical pillar is 50 cm in diameter and 3.5 m in height. Find the cost of painting the covered surface of the pillar at the rate 10 per sq m . ? |
| A. | 50 |
| B. | 68 |
| C. | 98 |
| D. | 55 |
| Answer» E. | |
| 91. |
The curved surface area of a right circular cone of radius 14 cm is 440 sq cm. what is the slant height of the cone ? |
| A. | 10 cm |
| B. | 11 cm |
| C. | 12 cm |
| D. | 13 cm |
| Answer» B. 11 cm | |
| 92. |
The ratio of the radii of two cylinders is 2 : 3 and the ratio of their heights is 5 : 3 . The ratio of their volumes will be ? |
| A. | 4 : 9 |
| B. | 9 : 4 |
| C. | 20 : 27 |
| D. | 27 : 20 |
| Answer» D. 27 : 20 | |
| 93. |
The curved surface area of a cylindrical pillar is 264 sq m and its volume is 924 m |
| A. | 7 : 3 |
| B. | 3 : 7 |
| C. | 7 : 6 |
| D. | 6 : 7 |
| Answer» B. 3 : 7 | |
| 94. |
If height of cylinder is decreased by 8%, while its radius remains unchanged, by what per cent does the volume decrease ? |
| A. | 4% |
| B. | 6% |
| C. | 8% |
| D. | 10% |
| Answer» D. 10% | |
| 95. |
If the radius of a cylinder is increased by 25% and its height remains unchanged, then find the percent increase in volume. ? |
| A. | 56.25% |
| B. | 52.25% |
| C. | 50.4% |
| D. | 60.26% |
| Answer» B. 52.25% | |
| 96. |
If the radius of a cylinder is decreased by 8%, while its height is increased by 4%, what will be the effect on volume ? |
| A. | 11.9744% (decrease) |
| B. | 11.9744% (increase) |
| C. | 12.4678% (decrease) |
| D. | 12.4678% (increase) |
| Answer» B. 11.9744% (increase) | |
| 97. |
The volume of a sphere is 38808 cu. cm. The curved surface area of the sphere is ? |
| A. | 5544 sq. cm |
| B. | 1386 sq. cm |
| C. | 8316 sq. cm |
| D. | 4158 sq. cm |
| Answer» B. 1386 sq. cm | |
| 98. |
A cube has each edge 2 cm and a cuboid is 1 cm long, 2 cm wide and 3 cm high. The paint in a certain container is sufficient to paint an area equal to 54 cm |
| A. | Both cube and cuboid can be painted |
| B. | Only cube can be painted |
| C. | Only cuboid can be painted |
| D. | Neither cube nor cuboid can be painted |
| Answer» B. Only cube can be painted | |
| 99. |
The whole surface area of a rectangular block is 8788 sq cm. If length, breadth and height are in ratio of 4 : 3 : 2, then find the length. ? |
| A. | 26 cm |
| B. | 52 cm |
| C. | 104 cm |
| D. | 13 cm |
| Answer» C. 104 cm | |
| 100. |
How many cubes of 3 cm edge be cut out of a cube of 18 cm edge ? |
| A. | 63 |
| B. | 432 |
| C. | 216 |
| D. | None of these |
| Answer» D. None of these | |