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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.
| 1201. |
Find the volume of a sphere with diameter as 21 cm. (The value of π is 22/7) |
| A. | 4851 cu cm |
| B. | 4132 cu cm |
| C. | 3361 cu cm |
| D. | 4441 cu cm |
| Answer» B. 4132 cu cm | |
| 1202. |
If the radius of a sphere is thrice of the radius of a hemisphere, then what will be the respective ratio of their volumes? |
| A. | 27 : 1 |
| B. | 54 : 1 |
| C. | 81 : 1 |
| D. | 9 : 1 |
| Answer» C. 81 : 1 | |
| 1203. |
A drinking glass of height 24 cm is in the shape of frustum of a cone diameters of its bottom and top circular ends are 4 cm and 18 cm respectively. If we take capacity of the glass as πx cm3, then what is the value of x? |
| A. | 824 |
| B. | 1236 |
| C. | 1628 |
| D. | 2472 |
| Answer» B. 1236 | |
| 1204. |
A cone and a hemisphere have equal bases and volumes. What is the ratio of the height of the cone to the radius of the hemisphere? |
| A. | 1 ∶ 1 |
| B. | 2 ∶ 1 |
| C. | 3 ∶ 2 |
| D. | 4 ∶ 3 |
| Answer» C. 3 ∶ 2 | |
| 1205. |
A cone of diameter 14 cm and height 24 cm is placed on top of a cube of side 14 cm. Find the surface area of the whole figure. |
| A. | 1675 sq cm |
| B. | 1900 sq cm |
| C. | 1572 sq cm |
| D. | 1726 sq cm |
| Answer» D. 1726 sq cm | |
| 1206. |
D and E are points on sides AB and AC of ΔABC. DE is parallel to BC. If AD : DB = 1 : 2, what is the ratio of area of ΔADE : area of quadrilateral BDEC? |
| A. | 1 : 8 |
| B. | 1 : 9 |
| C. | 1 : 4 |
| D. | 1 : 3 |
| Answer» B. 1 : 9 | |
| 1207. |
Find the total surface area of a hemispherical bowl of thickness 'd' and internal radius 'r'. |
| A. | 4πr2 + 6πrd + 3d2 |
| B. | π(4r2 + 6rd + 3d2) |
| C. | 4πr2 + 4πrd + 3d2 |
| D. | π(4r2 + 3rd + d2) |
| Answer» C. 4πr2 + 4πrd + 3d2 | |
| 1208. |
AB = 13 m is the diameter of a circle. A man moves from A in a straight line and meets the circumference of the circle at C. If AC = 5 m, then CB = |
| A. | 8 m |
| B. | 10 m |
| C. | 12 m |
| D. | 11 m |
| Answer» D. 11 m | |
| 1209. |
If the diameter of a semi-circular inclinometer is 14 cm, find its circumference. |
| A. | 86 cm |
| B. | 28 cm |
| C. | 11 cm |
| D. | None of these |
| Answer» E. | |
| 1210. |
A room is 5.2 meters in length and 2.0 meters in width. The least number of square tiles required to exactly cover its area is: |
| A. | 96 |
| B. | 85 |
| C. | 75 |
| D. | 65 |
| Answer» E. | |
| 1211. |
As shown in the figure below, four identical coins are placed in a square. For each coin, the ratio of area to circumference is same as the ratio of circumference to area. Find the area of the square that is not covered by the coins. |
| A. | 16(π - 1) |
| B. | 16(16 - π) |
| C. | 16(4 - π) |
| D. | 16(4 - π / 2) |
| Answer» D. 16(4 - π / 2) | |
| 1212. |
A river is 3 m deep and 36 m wide which flows at the rate of 5 km/h into the sea. The volume of water that runs into the sea per minute is∶ |
| A. | 8300 m3 |
| B. | 9000 m3 |
| C. | 7600 m3 |
| D. | 6400 m3 |
| Answer» C. 7600 m3 | |
| 1213. |
A sphere of diameter 6 cm is dropped into a cylindrical vessel partly filled with water. The radius of the vessel is 6 cm. If the sphere is completely submerged in water, then by how much will the surface level of water be raised? |
| A. | 0.5 cm |
| B. | 1 cm |
| C. | 1.5 cm |
| D. | 2 cm |
| Answer» C. 1.5 cm | |
| 1214. |
Find the volume (in cm3) of a cuboid of length, breadth and height of 7.5 cm, 5 cm and 6 cm respectively. |
| A. | 195 |
| B. | 180 |
| C. | 225 |
| D. | 173 |
| Answer» D. 173 | |
| 1215. |
A sphere of radius 9 cm is moulded to form a cylinder of radius 3 cm. Find the height of the cylinder. |
| A. | 54 cm |
| B. | 108 cm |
| C. | 162 cm |
| D. | 216 cm |
| Answer» C. 162 cm | |
| 1216. |
A circle is inscribed in a rhombus with diagonals 12 cm and 16 cm. The ratio of the area of circle to the area of rhombus is |
| A. | \(\frac{{\;2\pi }}{{15}}\) |
| B. | \(\frac{{\;3\pi }}{{25}}\) |
| C. | \(\frac{{\;6\pi }}{{25}}\) |
| D. | \(\frac{{\;5\pi }}{{18}}\) |
| Answer» D. \(\frac{{\;5\pi }}{{18}}\) | |
| 1217. |
In the given figure, ABCD is a parallelogram with AB = DC = 10 m, BC = AD = 15 m, BE = FD = 8 m. Find the area of ABCD |
| A. | 150 m2 |
| B. | 80 m2 |
| C. | 64 m2 |
| D. | 120 m2 |
| Answer» E. | |
| 1218. |
A circle is inscribed in a triangle ABC. It touches the sides AB and AC at M and N respectively. If O is the centre of the circle and ∠A = 70°, then what is ∠MON equal to? |
| A. | 90° |
| B. | 100° |
| C. | 110° |
| D. | 120° |
| Answer» D. 120° | |
| 1219. |
A square and a rectangle have equal areas. If their perimeters are P1 and P2 respectively, then |
| A. | P1 < P2 |
| B. | P1 = P2 |
| C. | P1 > P2 |
| D. | None of these |
| Answer» B. P1 = P2 | |
| 1220. |
A solid metallic cylinder of height 10 cm and radius 6 cm is melted to make two cones in the ratio of volume 1 : 2 and of same height as 10 cm. What is the percentage increase in the flat surface area? |
| A. | 25% |
| B. | 50% |
| C. | 75% |
| D. | 100% |
| Answer» C. 75% | |
| 1221. |
A hollow cylinder is made up of metal. The difference between the outer and the inner curved surface area of this cylinder is 352 cm2. The height of the cylinder is 28 cm. If the total surface area of this hollow cylinder is 2640 cm2, then what are the inner and outer radii (in cm)? |
| A. | 4, 6 |
| B. | 10, 12 |
| C. | 8, 10 |
| D. | 6, 8 |
| Answer» E. | |
| 1222. |
In the given figure, area of isosceles triangle PQT is 72 cm2. If QT = PQ, PQ = 2 PS and PT।।SR, then what is the area (in cm2) of the trapezium PQRS? |
| A. | 144 |
| B. | 216 |
| C. | 256 |
| D. | 288 |
| Answer» B. 216 | |
| 1223. |
Find the increase in circumference of a circle of radius 14 cm, if the radius is increased by 7 cm. (π = 22/7) |
| A. | 44 cm |
| B. | 22 cm |
| C. | 66 cm |
| D. | 88 cm |
| Answer» B. 22 cm | |
| 1224. |
By increasing the length of a rectangle by 10% and its width by 20%, by what percentage will it increase in its area? |
| A. | 32 |
| B. | 30 |
| C. | 68 |
| D. | 21 |
| Answer» B. 30 | |
| 1225. |
A wire encloses an area of 616 cm2 when it is bent in the form of a circle. If the wire is bent in the form of a square, then its area (in cm2) is very nearly equal to: (Take π = 22/7) |
| A. | 576 |
| B. | 484 |
| C. | 441 |
| D. | 400 |
| Answer» C. 441 | |
| 1226. |
If the lengths of three sides of a triangle are 6 cm, 8 cm and 10 cm, then the radius of the circumcircle of the triangle is |
| A. | 5 cm |
| B. | 6 cm |
| C. | 7 cm |
| D. | None of the above |
| Answer» B. 6 cm | |
| 1227. |
A cylindrical well of height 20 metres and radius 14 metres is dug in a field 72 metres long and 44 metres wide. The earth taken out is spread evenly on the field. What is the increase (in metre) in the level of the field? |
| A. | 6.67 |
| B. | 3.56 |
| C. | 5.61 |
| D. | 4.83 |
| Answer» E. | |
| 1228. |
Quadrilateral ABCD circumscribed a circle. If AB = 8 cm, BC = 7 cm and CD = 6 cm, then the length of AD is: |
| A. | 7 cm |
| B. | 6.8 cm |
| C. | 7.5 cm |
| D. | 6 cm |
| Answer» B. 6.8 cm | |
| 1229. |
A man makes complete use of 405 cc of iron, 783 cc of aluminium, and 351 cc of copper to make a number of solid right circular cylinders of each type of metal. These cylinders have the same volume and each of these has radius 3 cm. If the total number of cylinders is to be kept at a minimum, then the total surface area of all these cylinders, in sq cm, is |
| A. | 1044(4 + π) |
| B. | 1026 (1 + π) |
| C. | 8464π |
| D. | 928π |
| Answer» C. 8464π | |
| 1230. |
ABCD is a rectangle. The diagonal AC and BD intersect at O. If AB = 32 cm and AD = 24 cm, then what is OD equal to? |
| A. | 22 cm |
| B. | 20 cm |
| C. | 18 cm |
| D. | 16 cm |
| Answer» C. 18 cm | |
| 1231. |
A spherical ball of diameter 21 cm is melted and recast into cubes, each of side 1 cm, then the number of cubes thus formed is - |
| A. | 2100 |
| B. | 4200 |
| C. | 4410 |
| D. | 4851 |
| Answer» E. | |
| 1232. |
If the volume of two cubes are in the ratio 64 : 1, then what is the ratio of their edges? |
| A. | 4 : 1 |
| B. | 2 : 1 |
| C. | 8 : 1 |
| D. | 64 : 1 |
| Answer» B. 2 : 1 | |
| 1233. |
If the radius of a cylinder is decreased by 20% and the height is increased by 20% to form a new cylinder, then the volume will be decreased by: |
| A. | 22.3% |
| B. | 32.2% |
| C. | 23.2% |
| D. | 20.5% |
| Answer» D. 20.5% | |
| 1234. |
If the volume of a sphere is 4851 cm3, then its surface area (in cm2) is∶(Take π = 22/7) |
| A. | 1386 |
| B. | 2772 |
| C. | 1323 |
| D. | 1337 |
| Answer» B. 2772 | |
| 1235. |
Circle A is 4 cm in diameter; circle B is 5 cm in diameter, Circle C has its circumference equal to the sum of the circumferences of both A and B together, What will be the ratio of the area of circle C, with respect to the area of circle A and circle B respectively? |
| A. | 5.0625 and 1.84 |
| B. | 3.875 and 1.84 |
| C. | 5.0625 and 3.24 |
| D. | 3.875 and 3.24 |
| Answer» D. 3.875 and 3.24 | |
| 1236. |
Let ABC be a right-angled triangle with hypotenuse BC of length 20 cm. If AP is perpendicular on BC, then the maximum possible length of AP in cm, is? |
| A. | 10 |
| B. | 6√2 |
| C. | 5 |
| D. | 8√2 |
| Answer» B. 6√2 | |
| 1237. |
How much area of metal sheet is required to make an open cylindrical tank of radius 3.5 m and height of 12 m? |
| A. | 305 m2 |
| B. | 285 m2 |
| C. | 292.7 m2 |
| D. | 302.5 m2 |
| Answer» E. | |
| 1238. |
Find the volume (in cm3) of a sphere whose radius is 7.5 cm. (Take π = 22/7) |
| A. | 1767.85 |
| B. | 1985.23 |
| C. | 1489.12 |
| D. | 1683.25 |
| Answer» B. 1985.23 | |
| 1239. |
In a circle with centre O, AB is the diameter. P and Q are two points on the circle on the same side of the diameter AB. AQ and BP intesect at C. If ∠POQ = 54° , then the measure of ∠PCA is: |
| A. | 72° |
| B. | 63° |
| C. | 56° |
| D. | 54° |
| Answer» C. 56° | |
| 1240. |
In an exhibition hall, there are 24 display boards each of length 1 m 50 cm and breadth 1 m. There is a 100 m long aluminium strip, which is used to frame these boards. Find the length of the aluminium strip required more to frame all the boards. |
| A. | 20 m |
| B. | 120 m |
| C. | 10 m |
| D. | 4 m |
| Answer» B. 120 m | |
| 1241. |
Find the area of the iron sheet required to prepare a cone (with base) is 24 cm height with base radius 7 cm: |
| A. | 625 cm2 |
| B. | 690 cm2 |
| C. | 704 cm2 |
| D. | 729 cm2 |
| Answer» D. 729 cm2 | |
| 1242. |
A wire is in the form of a circle of radius 98 cm. A square is formed out of the wire. What is the length of a side of the square? (Use π = 22/7) |
| A. | 146 cm |
| B. | 152 cm |
| C. | 154 cm |
| D. | 156 cm |
| Answer» D. 156 cm | |
| 1243. |
A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter l cm of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid. |
| A. | \(\frac{1}{2}{l^2}\left( {12 + \pi } \right)c{m^2}\) |
| B. | \(\frac{1}{4}{l^2}\left( {24 + \pi } \right)c{m^2}\) |
| C. | \(\frac{1}{3}{l^2}\left( {18 + \pi } \right)c{m^2}\) |
| D. | \(\frac{1}{4}{l^2}\left( {18 + \pi } \right)c{m^2}\) |
| Answer» C. \(\frac{1}{3}{l^2}\left( {18 + \pi } \right)c{m^2}\) | |
| 1244. |
A wire is bent in the shape of a square of side 15 cm. If the wire is re-bent into a rectangle of breadth 5 cm, then find the length. |
| A. | 20 cm |
| B. | 12 cm |
| C. | 15 cm |
| D. | 25 cm |
| Answer» E. | |
| 1245. |
In Δ ABC, AD is the bisector of ∠A and intersects BC at D. If BC = a, AC = b and AB = c, then BD is equal to: |
| A. | \(\frac{{a(c + b)}}{{c - b}}\) |
| B. | \(\frac{{ab}}{{b + c}}\) |
| C. | \(\frac{{a(c - b)}}{{c + b}}\) |
| D. | \(\frac{{ac}}{{b + c}}\) |
| Answer» E. | |
| 1246. |
From a solid cylindrical wooden block of height 18 cm and radius 7.5 cm, a conical cavity of the same height and same radius is taken out. What is total surface area (in cm2) of the remaining solid? |
| A. | 416.25 π |
| B. | 472.5 π |
| C. | 326.25 π |
| D. | 270 π |
| Answer» C. 326.25 π | |
| 1247. |
Height of a right circular cone is 28 cm. If diameter of its base is 42 cm, then what will be the curved surface area of the cone? |
| A. | 4620 cm2 |
| B. | 2310 cm2 |
| C. | 1540 cm2 |
| D. | 170 cm2 |
| Answer» C. 1540 cm2 | |
| 1248. |
A metallic sheet is of rectangular shape with dimensions 28 m × 16 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 3 m, then the volume of the box (in m3) is: |
| A. | 550 |
| B. | 660 |
| C. | 440 |
| D. | 770 |
| Answer» C. 440 | |
| 1249. |
A circle is inscribed in an equilateral triangle of sides 12 cm. Find the area (in cm2) of the region outside the circle and within the triangle is: |
| A. | 12(2√3 – π) |
| B. | 12(3√(3 – π)) |
| C. | 12(3√(2 – π)) |
| D. | 12(2√(2 – π)) |
| Answer» C. 12(3√(2 – π)) | |
| 1250. |
A metallic sphere is melted and moulded to form conical shaped bullets. If radius of the bullet is twice of its height and radius of bullet is half of the radius of the metallic sphere, then how many bullets are formed? |
| A. | 32 |
| B. | 16 |
| C. | 128 |
| D. | 64 |
| Answer» E. | |