MCQOPTIONS
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MCQOPTIONS
This section includes 1292 Mcqs, each offering curated multiple-choice questions to sharpen your Quantitative Aptitude knowledge and support exam preparation. Choose a topic below to get started.
| 51. |
A 180 cm long wire is formed into a rectangle. If the width of this rectangle is 30 cm, what is its length? |
| A. | 45 cm |
| B. | 60 cm |
| C. | 90 cm |
| D. | 120 cm |
| Answer» C. 90 cm | |
| 52. |
If the side AB of an equilateral triangle ABC is equal to 12 cm. Calculate the length(in cm) of the AO, if O is the centroid of the triangle. |
| A. | 2√3 |
| B. | 3√3 |
| C. | 4√3 |
| D. | 9√3 |
| Answer» D. 9√3 | |
| 53. |
A road curve is to be laid out on a circle. What radius should be used if the track is to change direction by 42° in distance of 44 m? (Assume π = 22/7) |
| A. | 60 m |
| B. | 66 m |
| C. | 75 m |
| D. | 80 m |
| Answer» B. 66 m | |
| 54. |
Find the area of a triangle whose sides are 12 cm, 16 cm and 20 cm. |
| A. | 108 cm2 |
| B. | 72 cm2 |
| C. | 96 cm2 |
| D. | 144 cm2 |
| Answer» D. 144 cm2 | |
| 55. |
If each of the dimensions of a rectangle is increased by 200%, the area is increased by |
| A. | 300% |
| B. | 400% |
| C. | 600% |
| D. | 800% |
| Answer» E. | |
| 56. |
Identical cubes of largest possible size are cut from a solid cuboid of size 65 cm × 26 cm × 3.9 cm. What is the total surface area (in cm2) of all the small cubes taken together? |
| A. | 30420 |
| B. | 15210 |
| C. | 20280 |
| D. | 16440 |
| Answer» B. 15210 | |
| 57. |
If each side of a rectangle is increased by 13%, then its area will increased by: |
| A. | 26% |
| B. | 27.69% |
| C. | 21.69% |
| D. | 13% |
| Answer» C. 21.69% | |
| 58. |
A solid cube of volume 46656 cm3 is cut into 8 cubes of equal volumes. What is the ratio of surface area of the original cube and the total surface areas of the smaller 8 cubes? |
| A. | 1 : 2 |
| B. | 1 : 3 |
| C. | 2 : 3 |
| D. | 3 : 4 |
| Answer» B. 1 : 3 | |
| 59. |
A triangle having perimeter 40 cm, one side 11 cm and difference of other two sides is 3 cm. what is the area (in cm2) of triangle? |
| A. | 15√7 |
| B. | 12√35 |
| C. | 17√5 |
| D. | 6√31 |
| Answer» C. 17√5 | |
| 60. |
If each median of an equilateral triangle has a length of 12 cm. Then what will be the value of in-radius (in cm) of the equilateral triangle? |
| A. | 3 |
| B. | 4 |
| C. | 5 |
| D. | 6 |
| Answer» C. 5 | |
| 61. |
A circle is drawn circumscribing a rectangle of sides 24 cm and 7 cm. Find the area of the circle. (Take π = 3.14) |
| A. | 490.625 cm2 |
| B. | 397.982 cm2 |
| C. | 478.967 cm2 |
| D. | 420.545 cm2 |
| Answer» B. 397.982 cm2 | |
| 62. |
A room is 26 m long and 15 m wide. A 14 m square carpet is laid on the floor. Find the area of the room which is not carpeted? |
| A. | 190 |
| B. | 194 |
| C. | 200 |
| D. | 184 |
| Answer» C. 200 | |
| 63. |
If the perimeter of an isosceles right triangle is (16√2 + 16) cm, then the area of the triangle is: |
| A. | 76 sq.cm |
| B. | 64 sq.cm |
| C. | 58 sq.cm |
| D. | 66 sq.cm |
| Answer» C. 58 sq.cm | |
| 64. |
A square and a rectangle have equal areas. If one side of the rectangle is of length numerically equal to the square of the length of the side of the square then the other side of the rectangle is |
| A. | square root of the side of the square |
| B. | half the side of the square |
| C. | of unit length |
| D. | double the side of the square |
| Answer» D. double the side of the square | |
| 65. |
A prism has a regular hexagonal base with side 6 cm. If the total surface area of prism is 216√3 cm2, then what is the height (in cm) of prism? |
| A. | 3√3 |
| B. | 6√3 |
| C. | 6 |
| D. | 3 |
| Answer» B. 6√3 | |
| 66. |
If the diagonal of a square is 40 cm, then what is the area (in cm2) of the square? |
| A. | 400 |
| B. | \(200\sqrt 2 \) |
| C. | \(400\sqrt 2 \) |
| D. | 800 |
| Answer» E. | |
| 67. |
A sphere of radius 7 cm is melted and recast into small spheres of radius 2 cm each. How many such spheres can be made? |
| A. | 40 |
| B. | 42 |
| C. | 41 |
| D. | 43 |
| Answer» C. 41 | |
| 68. |
If a solid sphere of radius 10 cm is moulded into 8 spherical solid balls of equal radius, then the radius of each such ball is ___________. |
| A. | 1.25 cm |
| B. | 2.5 cm |
| C. | 3.75 cm |
| D. | 5 cm |
| Answer» E. | |
| 69. |
In the above figure, O is the centre of the circle and OD ⊥ AB. When AB = 16 cm, then the value of OA is |
| A. | 5 cm |
| B. | 15 cm |
| C. | 10 cm |
| D. | 8 cm |
| Answer» D. 8 cm | |
| 70. |
Let s be \(16 \frac 2 3\)% of 24, t be \(33 \frac 1 3\)% of 9 and u be 20% of 25. If s, t and u are the sides of a triangle, the angle opposite to the side of length u is: |
| A. | 30° |
| B. | 45° |
| C. | 60° |
| D. | 90° |
| Answer» E. | |
| 71. |
Area of a square plot is 6050 m2 . Length of its diagonal is: |
| A. | 55√2 m |
| B. | 55 m |
| C. | 110 m |
| D. | 100 m |
| Answer» D. 100 m | |
| 72. |
Find the volume (in cm3) of a sphere of diameter 42 cm. |
| A. | 17779 |
| B. | 36922 |
| C. | 38808 |
| D. | 13371 |
| Answer» D. 13371 | |
| 73. |
In ΔABC, ∠A is a right angle. The length of AC and BC are 6 cm and 10 cm respectively. Point D is on AB such that BD = 4 cm. What is the length of CD? |
| A. | 2√10 cm |
| B. | 3√10 cm |
| C. | 3√13 cm |
| D. | 2√13 cm |
| Answer» E. | |
| 74. |
A rectangular park 50 m long and 40 m wide is surrounded by 5 m wide continuous concrete road. The area of the road is |
| A. | 1000 sq. m |
| B. | 180 sq. m |
| C. | 900 sq. m |
| D. | 100 sq. m |
| Answer» B. 180 sq. m | |
| 75. |
A matchbox measures 4 cm × 2.5 cm × 1.5 cm, what will be the volume of a packet containing 12 such boxes? |
| A. | 180 cm3 |
| B. | 140 cm3 |
| C. | 120 cm3 |
| D. | 100 cm3 |
| Answer» B. 140 cm3 | |
| 76. |
If each side of a rectangle is decreased by 13%, then its area will decrease by: |
| A. | 21.96% |
| B. | 24.31% |
| C. | 26% |
| D. | 13% |
| Answer» C. 26% | |
| 77. |
In trapezium PQRS, PQ ∥ SR and the ratio of PQ to SR is 3 ∶ 2. If the area of the trapezium is 480 cm2 and the distance between PQ and SR is 12 cm, then the length of SR is |
| A. | 36 cm |
| B. | 48 cm |
| C. | 24 cm |
| D. | 32 cm |
| Answer» E. | |
| 78. |
If the length of a room is decreased by 10% and breadth is decreased by 20%, while height is increased by 5%, then what percentage changed in the volume of the room? |
| A. | 24% |
| B. | 24.4% |
| C. | 24.2% |
| D. | 24.6% |
| Answer» C. 24.2% | |
| 79. |
70 sticks each of unit length are combined to form a right-angle triangle without breaking any stick. What is the area (in square units) of the triangle? |
| A. | 210 |
| B. | 180 |
| C. | 240 |
| D. | 350 |
| Answer» B. 180 | |
| 80. |
A tall rectangular vessel is half filled with water. The base dimension of the vessel is 62 cm × 45 cm. A heavy metal cube of edge 15 cm is dropped into the vessel. The rise in level of the vessel is: |
| A. | 1.21 cm |
| B. | 1.15 cm |
| C. | 1.07 cm |
| D. | 1 cm |
| Answer» B. 1.15 cm | |
| 81. |
In a triangle ABC, AD is angle bisector of ∠A and AB : AC = 3 : 4. If the area of triangle ABC is 350 cm2, then what is the area (in cm2) of triangle ABD? |
| A. | 150 |
| B. | 200 |
| C. | 210 |
| D. | 240 |
| Answer» B. 200 | |
| 82. |
If the surface area of a cube is 1944 m2, its volume is∶ |
| A. | 2744 m3 |
| B. | 164 m3 |
| C. | 5832 m3 |
| D. | 4912 m3 |
| Answer» D. 4912 m3 | |
| 83. |
In a triangle ΔABC, AB = 35 cm, BC = 12 cm, and ∠B = 90° then length of AC will be |
| A. | 20 cm |
| B. | 15 cm |
| C. | 37 cm |
| D. | 25 cm |
| Answer» D. 25 cm | |
| 84. |
Find the total surface area (in cm2) of a right circular cylinder of diameter 7 cm and height 6 cm. |
| A. | 187 |
| B. | 209 |
| C. | 163 |
| D. | 149 |
| Answer» C. 163 | |
| 85. |
If H, C and V are respectively the height, curved surface area and volume of a cone, then what is 3πVH3 + 9V2 equal to? |
| A. | C2H2 |
| B. | 2 C2H2 |
| C. | 5 C2H2 |
| D. | 7 C2H2 |
| Answer» B. 2 C2H2 | |
| 86. |
A sphere is melted and molded into solid cylinder. If radius of both solids are equal. then find the ratio of total surface area of sphere to total surface area of cylinder. |
| A. | 2 : 3 |
| B. | 5 : 3 |
| C. | 4 : 3 |
| D. | 6 : 7 |
| E. | 7 : 6 |
| Answer» E. 7 : 6 | |
| 87. |
If the height of a circular cone is decreased by 10% and its radius is increased by 10% then what will be the change in its volume? |
| A. | Decreases by 3.2% |
| B. | Decreases by 8.9% |
| C. | Increases by 3.2% |
| D. | Increases By 8.9% |
| Answer» E. | |
| 88. |
A field is in the form of a circle. The cost of fencing around it at Rs. 12 per metre is Rs. 2,640. What is the area (in m2) of the field? (Take π = 22/7) |
| A. | 5544 m2 |
| B. | 1925 m2 |
| C. | 2772 m2 |
| D. | 3850 m2 |
| Answer» E. | |
| 89. |
A triangle has a perimeter of 200. If two of its sides are equal and the third side is 20 more than the equal sides, what is the length of the third side?A. 60B. 50C. 80D. 70 |
| A. | A |
| B. | C |
| C. | D |
| D. | B |
| Answer» C. D | |
| 90. |
If a carpenter increases the edges of a square wooden top from 14 cm to 18 cm, the cost of top is increased by Rs. 384. Find the rate of wooden top per square centimetre. |
| A. | Rs. 4 |
| B. | Rs. 3 |
| C. | Rs. 4.5 |
| D. | Rs. 5 |
| Answer» C. Rs. 4.5 | |
| 91. |
Area of piece of a canvas is 1105 m2. A conical tent is to be made by canvas with base area 616 m2. Assuming that all the stiching margins and the wastage incurred while cutting, amounts to approximately 5 m2, then the height of the tent is - |
| A. | 20.71 m |
| B. | 24 m |
| C. | 18.20 m |
| D. | 21 m |
| Answer» B. 24 m | |
| 92. |
A cylinder has a diameter of 14 cm and its area of curved surface is 220 cm2 the volume of the cylinder is: |
| A. | 3080 cm3 |
| B. | 1000 cm3 |
| C. | 770 cm3 |
| D. | 1540 cm3 |
| Answer» D. 1540 cm3 | |
| 93. |
If the total surface area of a cuboid of length 6 cm and breadth 5 cm is 126 sq cm, then its height is: |
| A. | 5 cm |
| B. | 3.5 cm |
| C. | 4 cm |
| D. | 3 cm |
| Answer» E. | |
| 94. |
A copper wire when bent in the form of a square encloses an area of 121 cm2. If the same wire is bent in the form of a circle, it encloses an area equal to |
| A. | 121 cm2 |
| B. | 144 cm2 |
| C. | 154 cm2 |
| D. | 168 cm2 |
| Answer» D. 168 cm2 | |
| 95. |
In a triangle ABC, AB = 6√3 cm, AC = 12 cm and BC = 6 cm. Then measure of ∠B is equal to: |
| A. | 45° |
| B. | 70° |
| C. | 90° |
| D. | 60° |
| Answer» D. 60° | |
| 96. |
Calculate the area (in cm2) of a circle whose diameter is 14 cm. |
| A. | 154 |
| B. | 308 |
| C. | 224 |
| D. | 448 |
| Answer» B. 308 | |
| 97. |
If two cubes each of side 12 cms are joined face to face to form a cuboid then the surface area (in sq. cms) of the cuboid is: |
| A. | 1080 |
| B. | 1440 |
| C. | 1460 |
| D. | 1600 |
| Answer» C. 1460 | |
| 98. |
Four equal sized maximum circular pages are cut off from a square paper sheet of area 3136 square cm. The circumference of each plate is: |
| A. | 89 cm |
| B. | 86 cm |
| C. | 84 cm |
| D. | 88 cm |
| Answer» E. | |
| 99. |
Each of the sides of a triangle is 4 cm less than the sum of its other two sides. Area of the triangle (in cm2) is |
| A. | 2√3 |
| B. | 4√3 |
| C. | 2√2 |
| D. | 4√2 |
| Answer» C. 2√2 | |
| 100. |
A vessel is in the form of a hollow hemisphere mounted on a hollow cylinder. The diameter of the hemisphere is 28 cm and the total height of the vessel is 26 cm, find the surface area of the vessel(Take π = 22/7) |
| A. | 8282 cm2 |
| B. | 2288 cm2 |
| C. | 2828 cm2 |
| D. | 2882 cm2 |
| Answer» C. 2828 cm2 | |