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.
| 201. |
In a building, there are 24 cylindrical pillars. The radius of each pillar is 28 cm and the height is 4 m. Find the total cost of painting the curved surface area of all pillars at the rate of Rs. 25 per m2 |
| A. | Rs. 2424 |
| B. | Rs. 4242 |
| C. | Rs. 4224 |
| D. | Rs. 4424 |
| Answer» D. Rs. 4424 | |
| 202. |
If in any triangle, the angles are in the ratio of 1 : 2: 1, then what will be the ratio of its sides? |
| A. | 1 : 2 : 1 |
| B. | 1 : 2 : 3 |
| C. | 1 : \(\sqrt{2}\): 1 |
| D. | 2 : 1 : 2 |
| Answer» D. 2 : 1 : 2 | |
| 203. |
If length and breadth of a room is 15 m 17 cm and 9 m 2 cm respectively. What is the minimum number of square tiles which is fit for that? |
| A. | 814 |
| B. | 841 |
| C. | 820 |
| D. | 840 |
| Answer» B. 841 | |
| 204. |
A cylindrical pencil of diameter 1.2 cm has one of its end sharpened into a conical shape of height 1.4 cm. The volume of the material removed is |
| A. | 1.056 cm3 |
| B. | 4.224 cm3 |
| C. | 10.56 cm3 |
| D. | 42.24 cm3 |
| Answer» B. 4.224 cm3 | |
| 205. |
In a circle with centre O, AB is the diameter and CD is a chord such that ABCD is a trapezium. If ∠BAC = 24°, then ∠CAD is equal to∶ |
| A. | 24 |
| B. | 42 |
| C. | 36 |
| D. | 48 |
| Answer» C. 36 | |
| 206. |
A cuboidal tank has 48000 liters of water. Find the depth of water in the tank if length of the tank is 6 m and breadth is 4 m. |
| A. | 4 m |
| B. | 6 m |
| C. | 3 m |
| D. | 2 m |
| Answer» E. | |
| 207. |
Find the total surface area of a hollow hemispherical bowl of diameter 14 cm and negligiblethickness. |
| A. | 576 cm22 |
| B. | 628 cm22 |
| C. | 616 cm22 |
| D. | 526 cm22 |
| Answer» D. 526 cm22 | |
| 208. |
A wire when bent in the form of a square encloses an area of 484 sq. cm. If the same wire is bent in the form of a circle, what is the area enclosed by it? |
| A. | 264 sq. cm |
| B. | 616 sq. cm |
| C. | 488 sq. cm |
| D. | 492 sq. cm |
| Answer» C. 488 sq. cm | |
| 209. |
Circumference of a circle is equal to the perimeter of a square. What is the ratio of area of circle to the area of square? (The value of π is 22/7) |
| A. | 14 : 11 |
| B. | 18 : 11 |
| C. | 27 : 22 |
| D. | 31 : 22 |
| Answer» B. 18 : 11 | |
| 210. |
A solid brass sphere of radius 2.1 dm is converted into a right circular cylindrical rod of length 7cm. The ratio of total surface areas of the rod to the sphere is |
| A. | 3 : 1 |
| B. | 1 : 3 |
| C. | 7 : 3 |
| D. | 3 : 7 |
| Answer» D. 3 : 7 | |
| 211. |
______ is the measure of space occupied by the body and it is the product of length, breadth and height. |
| A. | Surface area of a cuboid |
| B. | Volume of a cuboid |
| C. | Diagonal of a cuboid |
| D. | Lateral surface area of a cube |
| Answer» C. Diagonal of a cuboid | |
| 212. |
A square and rectangular field have same perimeter. If one side of the square field is 40m and the breadth of the rectangular field is 30m, find the length of the rectangular field. |
| A. | 80 m |
| B. | 50 m |
| C. | 60 m |
| D. | 40 m |
| Answer» C. 60 m | |
| 213. |
A right prism has a square base with side of base 4 cm and the height of prism is 9 cm. The prism is cut in three parts of equal heights by two planes parallel to its base. What is the ratio of the volume of the top, middle and the bottom part respectively? |
| A. | 1 : 8 : 27 |
| B. | 1 : 7 : 19 |
| C. | 1 : 8 : 20 |
| D. | 1 : 1 : 1 |
| Answer» E. | |
| 214. |
Find the curved surface area (in cm2) of a right circular cylinder of diameter 14 cm and height 8 cm. |
| A. | 308 |
| B. | 352 |
| C. | 327 |
| D. | 371 |
| Answer» C. 327 | |
| 215. |
Find the volume of cone which has a base radius of 7 cm and height 12 cm. (The value of π is 22/7) |
| A. | 289 cm3 |
| B. | 576 cm3 |
| C. | 512 cm3 |
| D. | 616 cm3 |
| Answer» E. | |
| 216. |
A shot-put is a metallic sphere of diameter 9.8 cm. If the density of the metal is 9.8 gram per cm3, the approximate mass of the short-put is |
| A. | 4225 grams |
| B. | 493 grams |
| C. | 4831 grams |
| D. | 4930 grams |
| Answer» D. 4930 grams | |
| 217. |
PQRS is a rhombus that what would be PQ2 + QR2 + RS2 + SP2 =? |
| A. | 2(PR2 + QS2) |
| B. | (PR2 + QS2) |
| C. | 2PQ.RS |
| D. | 4(PR2 + QS2) |
| Answer» C. 2PQ.RS | |
| 218. |
A building is in the form of a cylinder surmounted by a hemispherical dome on the diameter of the cylinder. The height of the building is three times the radius of the base of the cylinder. The building contains \(67\frac{1}{{21}}\;\)m3 of air. What is the height of the building? |
| A. | 6 m |
| B. | 4 m |
| C. | 3 m |
| D. | 2 m |
| Answer» B. 4 m | |
| 219. |
In ΔABC, ∠B is 25° more than ∠A and ∠C is 5° more than four time ∠A. The biggest angle is _____. |
| A. | 25° |
| B. | 50° |
| C. | 95° |
| D. | 105° |
| Answer» E. | |
| 220. |
D is a point on the side BC of ΔABC such that ∠ADC = ∠BAC. If CA = 12 cm and BC = 16 cm, then the length of CD is |
| A. | 12 cm |
| B. | 6 cm |
| C. | 8 cm |
| D. | 9 cm |
| Answer» E. | |
| 221. |
A cuboid whose length is equal to its width has a volume of 24 cubic feet. If the height of the cuboid is 1.5 feet, then what is the length of the cuboid? |
| A. | 4 feet |
| B. | 5 feet |
| C. | 6 feet |
| D. | 8 feet |
| Answer» B. 5 feet | |
| 222. |
A cube of edge 15 cm is immersed completely in a rectangular vessel containing water. If the dimensions of the base of the vessel are 30 cm x 15 cm, then find the rise in the water level. |
| A. | 7.5 cm |
| B. | 9.0 cm |
| C. | 11.5 cm |
| D. | 12.0 cm |
| Answer» B. 9.0 cm | |
| 223. |
If the perimeter of a certain rectangle is 50 units and its area is 150 sq. units, then how many units are the length of its shorter side? |
| A. | 12 |
| B. | 15 |
| C. | 10 |
| D. | 9 |
| Answer» D. 9 | |
| 224. |
Find the area of a sphere whose radius is 7 cm. (The value of π is 22/7) |
| A. | 225 cm2 |
| B. | 616 cm2 |
| C. | 144 cm2 |
| D. | 729 cm2 |
| Answer» C. 144 cm2 | |
| 225. |
Five cubes, each of edge 3 cm are joined end to end. What is the total surface area of the resulting cuboid, in cm2? |
| A. | 244 |
| B. | 270 |
| C. | 198 |
| D. | 280 |
| Answer» D. 280 | |
| 226. |
A rectangular pathway having width 4.5 m and length 10 m will have to be tiled using square tiles of side 50 cm. Each packet of such tiles contains 20 pieces and costs Rs. 100. What will be the total cost of tiles for the pathway? |
| A. | Rs. 1200 |
| B. | Rs. 1100 |
| C. | Rs. 1000 |
| D. | Rs. 900 |
| Answer» E. | |
| 227. |
How many matchboxes of size 4 cm × 3 cm × 1.5 cm can be packed in a cardboard box of size 30 cm × 30 cm × 20 cm? |
| A. | 500 |
| B. | 1000 |
| C. | 750 |
| D. | 1100 |
| Answer» C. 750 | |
| 228. |
Consider following diagram ∶ AC is diameter of the large circle and AB = BC.The ratio of areas of the large circle to the small circle of a square is |
| A. | 4 ∶ 1 |
| B. | 1 ∶ 4 |
| C. | 2 ∶ 1 |
| D. | 1 ∶ 2 |
| Answer» D. 1 ∶ 2 | |
| 229. |
A sector is cut from a circle of radius 21 cm. If the length of the arc of the sector is 55 cm, then what is the area of the sector? |
| A. | 577.5 cm2 |
| B. | 612.5 cm2 |
| C. | 705.5 cm2 |
| D. | 725.5 cm2 |
| Answer» B. 612.5 cm2 | |
| 230. |
n = number of times the wheel of a bus will rotate to cover a distance of 99 km. if the diameter of the wheel is 63 cm, then find the value of n. |
| A. | 45,000 |
| B. | 35,000 |
| C. | 40,000 |
| D. | 50,000 |
| Answer» E. | |
| 231. |
A spherical ball of diameter 35 cm rolls 20 times. How much is the distance (in m) covered by it? |
| A. | 22 |
| B. | 44 |
| C. | 20 |
| D. | 35 |
| Answer» B. 44 | |
| 232. |
A cylinder having base radius equal to its height, right circular cone whose radius is equal to its height and a hemisphere are given. All of them have the same volumes. What will be the ratio of their respective radius? |
| A. | \(\sqrt[3]{3}:1:\sqrt[3]{2}\) |
| B. | \(1:\sqrt[3]{2}:\sqrt[3]{2}\) |
| C. | \(\sqrt[3]{2}:\sqrt[3]{6}:\sqrt[3]{3}\) |
| D. | \(\sqrt[3]{4}:\sqrt[3]{6}:\sqrt[2]{3}\) |
| Answer» D. \(\sqrt[3]{4}:\sqrt[3]{6}:\sqrt[2]{3}\) | |
| 233. |
A right circular cylinder having a diameter of 21 cm and a height of 38 cm is full of ice cream. The ice cream is to be filled in cones of height 12 cm and diameter 7 cm having a hemispherical shape on the top. The number of such cones to be filled with ice cream is |
| A. | 54 |
| B. | 44 |
| C. | 36 |
| D. | 24 |
| Answer» B. 44 | |
| 234. |
How many solid lead balls each of diameter 2 mm can be made from a solid lead ball of radius 8 cm? |
| A. | 512 |
| B. | 1024 |
| C. | 256000 |
| D. | 512000 |
| Answer» E. | |
| 235. |
ABCD is a plate in the shape of a parallelogram. EF is the line parallel to DA and passing through the point of intersection O of the diagonals AC and BD. Further, E lies on DC and F lies on AB. The triangular portion DOE is cut out from the plate ABCD. What is the ratio of area of remaining portion of the plate to the whole? |
| A. | \(\frac{5}{8}\) |
| B. | \(\frac{5}{7}\) |
| C. | \(\frac{3}{4}\) |
| D. | \(\frac{7}{8}\) |
| Answer» E. | |
| 236. |
If the radius of a right circular cone is increased by p% without increasing its height, then what is the percentage increase in the volume of the cone? |
| A. | p2 |
| B. | 2p2 |
| C. | p2/100 |
| D. | p(2 + p/100) |
| Answer» E. | |
| 237. |
A conical vessel whose internal radius is 5 cm and height 24 cm is full of water. The water is emptied into a cylindrical vessel with internal radius 10 cm. What is the height to which the water rises? |
| A. | 1 cm |
| B. | 2 cm |
| C. | 3 cm |
| D. | 4 cm |
| Answer» C. 3 cm | |
| 238. |
A right circular cylinder just encloses a sphere of radius 6 cm. If A and B are their curved surface areas, then: |
| A. | A < B |
| B. | Cannot be determined |
| C. | A = B |
| D. | A > B |
| Answer» D. A > B | |
| 239. |
A regular square pyramid has side of its base 20 cm and height 45 cm is melted and recast into regular triangular pyramids of equilateral base of side 10 cm and height 10√3 cm. What are the total numbers of regular triangular pyramid? |
| A. | 24 |
| B. | 20 |
| C. | 27 |
| D. | 28 |
| Answer» B. 20 | |
| 240. |
Find the curved surface area (in cm2) of a right circular cone of diameter 28 cm and slant height 12 cm. |
| A. | 792 |
| B. | 728 |
| C. | 528 |
| D. | 493 |
| Answer» D. 493 | |
| 241. |
If each edge of a cube is increased by 50%, the percentage increase surface area is - |
| A. | 150% |
| B. | 75% |
| C. | 100% |
| D. | 125% |
| Answer» E. | |
| 242. |
A hemisphere and a cone is having same base and same height. Their area of curved surfaces are in the ratio |
| A. | \(1 :\sqrt{2}\) |
| B. | \( \sqrt{3}: 1\) |
| C. | \( 1 : \sqrt{3}\) |
| D. | \( \sqrt{2} : 1\) |
| Answer» E. | |
| 243. |
If the cuboid is made by melting the cube having diagonal 25√3 cm, then its (cuboid) height will be, if the length of the cuboid is equal to the arm of the cube and the width of the cuboid is 12.5 cm. (from cm) |
| A. | 51 |
| B. | 53 |
| C. | 50 |
| D. | 52 |
| Answer» D. 52 | |
| 244. |
One side of a rectangle is 12 m and its diagonal is 13 m. Find its area ? |
| A. | 60 sq.m |
| B. | 55 sq.m |
| C. | 50 sq.m |
| D. | 45 sq.m |
| Answer» B. 55 sq.m | |
| 245. |
Find the cost in rupees for carpeting a room 65 dm × 30 dm at Rs. 45. Per sq.mA. 877.50B. 87750C. 87.75D. 8775 |
| A. | B |
| B. | A |
| C. | C |
| D. | D |
| Answer» C. C | |
| 246. |
Ramesh has three containers as below-1. Cylindrical container A having radius r and height h2. Cylindrical container B having radius 2r and height h/23. Cuboidal container C having dimensions r × r × hThe arrangement of the containers in the increasing order of their volumes is- |
| A. | A, B, C |
| B. | B, C, A |
| C. | C, A, B |
| D. | Cannot be arranged |
| Answer» D. Cannot be arranged | |
| 247. |
Calculate the area (in cm2) of a circle whose diameter is 7 cm. |
| A. | 38.5 |
| B. | 77 |
| C. | 32.5 |
| D. | 65 |
| Answer» B. 77 | |
| 248. |
If the circumradius of the equilateral triangle is 12 cm then what is the value of inradius (in cm) of the triangle? |
| A. | 3 |
| B. | 6 |
| C. | 8 |
| D. | 10 |
| Answer» C. 8 | |
| 249. |
PQRA is a rectangle, AP = 22 cm, PQ = 8 cm. ΔABC is a triangle whose vertices lie on the sides of PQRA such that BQ = 2 cm and QC = 16 cm, then the length of the line joining the mid points of the sides AB and BC is |
| A. | 4√2 cm |
| B. | 5 cm |
| C. | 6 cm |
| D. | 10 cm |
| Answer» C. 6 cm | |
| 250. |
From a circular sheet of paper having radius 50 cm, a sector of 40% area is removed in the shape of an arc section. If the remaining part is used to make a conical surface, then the ratio of the radius to height of the cone is |
| A. | \(\frac{4}{3}\) |
| B. | \(\frac{5}{4}\) |
| C. | \(\frac{3}{4}\) |
| D. | \(\frac{7}{8}\) |
| Answer» D. \(\frac{7}{8}\) | |