MCQOPTIONS
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MCQOPTIONS
This section includes 90 Mcqs, each offering curated multiple-choice questions to sharpen your MENSURATION knowledge and support exam preparation. Choose a topic below to get started.
| 51. |
Water flows into a tank 200 m 150 m through a rectangular pipe 1.5 m 1.25 m @ 20 kmph. In what time (in minutes) will the water rise by 2 meters? |
| A. | 234 minutes |
| B. | 1.2 hours |
| C. | 9 hours |
| D. | 96 minutes |
| Answer» E. | |
| 52. |
The dimensions of an open box are 50 cm, 40 cm, and 23 cm. Its thickness is 3 cm. If 1 cubic cm of metal used in the box weighs 0.5 gms, find the weight of the box. |
| A. | 6. 08 kg |
| B. | 8.04 kg |
| C. | 8.06 kg |
| D. | 6.04 kg |
| Answer» C. 8.06 kg | |
| 53. |
In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of the ground is: |
| A. | 75 cu m |
| B. | 750 cu. m |
| C. | 7500 cu. m |
| D. | 75000 cu. m |
| Answer» C. 7500 cu. m | |
| 54. |
Half cubic meter of the gold sheet is extended by hammering so as to cover an area of one hectare. The thickness of the sheet is: |
| A. | 0.0005 cm |
| B. | 0.005 cm |
| C. | 0.05 cm |
| D. | 0.5 cm |
| Answer» C. 0.05 cm | |
| 55. |
The area of the base of a rectangular tank is 6500 cm 2; and the volume of water contained in it is 2.6 cubic meters. The depth of water in the tank is: |
| A. | 3.5 m |
| B. | 4 m |
| C. | 5 m |
| D. | 6 m |
| Answer» C. 5 m | |
| 56. |
Given that one cubic cm of marble weighs 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. | 26.5 cm |
| B. | 32 cm |
| C. | 36 cm |
| D. | 37.5 cm |
| Answer» C. 36 cm | |
| 57. |
Quarter of circle is |
| A. | minor segment |
| B. | chord |
| C. | quadrant |
| D. | semicircle |
| Answer» D. semicircle | |
| 58. |
Formula used to measure circumference of circle is |
| A. | 2 r |
| B. | r + 2r |
| C. | r |
| D. | 3 r |
| Answer» B. r + 2r | |
| 59. |
If arc of circle of radius 30 cm has a length of 19 cm then angle subtended at center of circle is |
| A. | 51.28 |
| B. | 16.28 |
| C. | 46.28 |
| D. | 36.28 |
| Answer» E. | |
| 60. |
By converting 3 2 from radians to degrees, answer will be |
| A. | 190 |
| B. | 150 |
| C. | 270 |
| D. | 290 |
| Answer» D. 290 | |
| 61. |
Considering radian, value of cos 2.3 is |
| A. | 1.832 |
| B. | 0.587 |
| C. | 2.587 |
| D. | 1.684 |
| Answer» C. 2.587 | |
| 62. |
If angle of sector is z then formula used to calculate is |
| A. | z 360 x area of major arc |
| B. | z 360 x area of semicircle |
| C. | z 360 x area of circle |
| D. | z 360 x circumference |
| Answer» E. | |
| 63. |
Formula used to measure area of circle is |
| A. | 4 r |
| B. | B. |
| C. | C. |
| D. | D. |
| Answer» C. C. | |
| 64. |
If radius is 21 cm and angle at center of circle is 140 then length of arc is |
| A. | 42.23 cm |
| B. | 73.24 cm |
| C. | 51.31 cm |
| D. | 62.42 cm |
| Answer» D. 62.42 cm | |
| 65. |
A hemispherical bowl of internal radius 9 cm contains a liquid. This liquid is to be filled into cylindrical shaped small bottles of diameter 3 cm and height 4 cm. How many bottles will be needed to empty the bowl? |
| A. | 23 |
| B. | 34 |
| C. | 54 |
| D. | 46 |
| Answer» D. 46 | |
| 66. |
Two metallic right circular cones having their heights 4.1 cm and 4.3 cm and the radii of their bases 2.1 cm each, have been melted together and recast into a sphere. Find the diameter of the sphere. |
| A. | 4 cm |
| B. | 4.1 cm |
| C. | 4.2 cm |
| D. | 4.3 cm |
| Answer» D. 4.3 cm | |
| 67. |
A man walks entirely around his semi-circular garden. What is the area of his garden, if he walks 324m? |
| A. | 18 sq. m. |
| B. | 6237 sq.m. |
| C. | 5248 sq. m. |
| D. | 5368 sq. m. |
| Answer» C. 5248 sq. m. | |
| 68. |
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 cu. meters. Find the breadth of the wall. |
| A. | 0.04m |
| B. | 4m |
| C. | 400 cm |
| D. | 40 cm |
| Answer» E. | |
| 69. |
Find the number of bricks, each measuring 24 cm 12 cm 8 cm, required to construct a wall 24 m long, 8m high and 60 cm thick if 10% of the wall is filled with mortar? |
| A. | 450 |
| B. | 4500 |
| C. | 45000 |
| D. | 450000 |
| Answer» D. 450000 | |
| 70. |
Find the length of the longest pole that can be placed in a room 12 m long, 8m broad and 9 m high. |
| A. | 16 m |
| B. | 17 m |
| C. | 18 m |
| D. | 19 m |
| Answer» C. 18 m | |
| 71. |
Find the volume and surface area of a cuboid 16m long, 14 m broad and 7 m high. |
| A. | 868 cm |
| B. | 920 cm |
| C. | 868 cm |
| D. | 920 cm |
| Answer» D. 920 cm | |
| 72. |
The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles. |
| A. | 4192 sq m |
| B. | 4304 sq m |
| C. | 4304 sq m |
| D. | 4360 sq m |
| Answer» D. 4360 sq m | |
| 73. |
The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square. |
| A. | 200 sq cm |
| B. | 72 sq cm |
| C. | 162 sq cm |
| D. | Cannot be determined |
| Answer» E. | |
| 74. |
The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square. |
| A. | 18 : 5 |
| B. | 7 : 16 |
| C. | 5 : 14 |
| D. | None of these. |
| Answer» E. | |
| 75. |
The area of a square is equal to five times the area of a rectangle of dimensions 125 cm * 64 cm. What is the perimeter of the square? |
| A. | 600 cm |
| B. | 800 cm |
| C. | 400 cm |
| D. | 1000 cm |
| Answer» C. 400 cm | |
| 76. |
A wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6 : 5. What is the area of the rectangle? |
| A. | 60 cm |
| B. | 30 cm |
| C. | 45 cm |
| D. | 15 cm |
| Answer» C. 45 cm | |
| 77. |
Line segment which joins distinct points on circumference is called |
| A. | radius |
| B. | chord |
| C. | perimeter |
| D. | length |
| Answer» C. perimeter | |
| 78. |
Smallest part of circle divided by chord is called |
| A. | minor segment |
| B. | major segment |
| C. | major quadrant |
| D. | radian |
| Answer» B. major segment | |
| 79. |
By converting angle from degrees to radians, 105 is equal to |
| A. | 2.856 rad |
| B. | 3.523 rad |
| C. | 0.348 rad |
| D. | 1.832 rad |
| Answer» E. | |
| 80. |
By converting 3 from radians to degrees, answer will be |
| A. | 55 |
| B. | 75 |
| C. | 65 |
| D. | 60 |
| Answer» E. | |
| 81. |
A special type of cylindrical vessel with radius and height of 24.5 cm and 5 cm respectively is used to hold Cognac. The vessel is filled upto 80% of its capacity and then total Cognac from cylindrical vessel transferred to 9 cuboidal vessels whose length and breadth is 7 cm & 8 cm respectively. Find the height of each cuboidal vessel? |
| A. | 18 cm |
| B. | 25 cm |
| C. | 23 cm |
| D. | 14.9 cm |
| Answer» E. | |
| 82. |
The length and breadth of a rectangle are in the ratio of 9:5. When the sides of the rectangle are extended on each side by 5 m the ratio of length to breadth becomes 5:3. What is the area of the original rectangle? |
| A. | 1160 sq.m |
| B. | 1565 sq.m |
| C. | 1125 sq.m |
| D. | 1045 sq.m |
| Answer» D. 1045 sq.m | |
| 83. |
If the radius of sphere is increased by 9.09 %, then surface area of sphere is increased by how much percentage. |
| A. | 19% |
| B. | 17% |
| C. | 21% |
| D. | 23% |
| Answer» B. 17% | |
| 84. |
The volume of a brick is 3000 cm 3; and its dimensions are in the ratio 3 : 2 : 4. If its entire surface is painted at 50 paisa per cm 2;. The cost will be (in Rs.) |
| A. | Rs. 580 |
| B. | Rs. 620 |
| C. | Rs. 680 |
| D. | Rs. 650 |
| Answer» E. | |
| 85. |
There were two solid spherical balls. Ratio between radius of first ball to that of second ball is 4 : 3. Second ball was cut into two equal halves and the difference between total surface area of first ball and total surface area of a part of second ball is 1424.5 cm 2;. Find value of radius of bigger ball ? |
| A. | 14 cm |
| B. | 16 cm |
| C. | 10.5 cm |
| D. | 20 cm |
| Answer» B. 16 cm | |
| 86. |
The area of a field in the shape of a trapezium measures 1440 m 2;. The perpendicular distance between the parallel side is 24m. If the ratio of the parallel sides is 5:3, what is the length of the longer parallel side? |
| A. | 75 m |
| B. | 45 m |
| C. | 120 m |
| D. | 60 m |
| Answer» B. 45 m | |
| 87. |
A circle is inscribed in a square. If the difference between area of the square and circle is 262.5 cm 2;, then find the area of the rectangle whose perimeter is same as that of circle while length of rectangle is 20% more than the breadth of rectangle (in cm 2;). |
| A. | 1500 |
| B. | 1400 |
| C. | 700 |
| D. | 750 |
| Answer» E. | |
| 88. |
The theatre in the town is built in the form of a kite. It's perimeter is 100 m. If one of the sides measure 20 m, then what are the measurements of others sides? |
| A. | 20 m, 35 m, 35 m |
| B. | 20 m, 25 m, 25 m |
| C. | 20 m, 40 m, 40 m |
| D. | 20 m, 30 m, 30 m |
| Answer» E. | |
| 89. |
Each side of an equilateral triangle is 6 cm. Find its area. |
| A. | 9 3 sq.cm. |
| B. | 6 3 sq.cm. |
| C. | 4 3 sq.cm. |
| D. | 8 3 sq.cm. |
| Answer» B. 6 3 sq.cm. | |
| 90. |
Radius of a cylinder is equal to the side of an equilateral triangle having area 16 3 cm 2; and height of the cylinder is equal to the perimeter of the triangle. Then find the volume of cylinder. |
| A. | 1536 cu.cm |
| B. | 1518 cu.cm |
| C. | 1620 cu.cm |
| D. | 1460 cu.cm |
| Answer» B. 1518 cu.cm | |