MCQOPTIONS
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MCQOPTIONS
This section includes 804 Mcqs, each offering curated multiple-choice questions to sharpen your Arithmetic Ability knowledge and support exam preparation. Choose a topic below to get started.
| 151. |
The height of a closed cylinder of given volume and the minimum surface area is : |
| A. | qual to its diameter |
| B. | alf of its diameter |
| C. | ouble of its diameter |
| D. | one of these |
| Answer» B. alf of its diameter | |
| 152. |
By what percent the volume of a cube increases if the length of each edge was increased by 50% |
| A. | 0% |
| B. | 25% |
| C. | 37.5% |
| D. | 73.5% |
| Answer» D. 73.5% | |
| 153. |
If the total length of diagonals of a cube is 12 cm, then what is the total length of the edges of the cube ? |
| A. | $$\sqrt 3 $$ cm |
| B. | 2 cm |
| C. | 5 cm |
| D. | 2$$\sqrt 3 $$ cm |
| Answer» E. | |
| 154. |
A water tank is 30 m long, 20 m wide and 12 m deep. It is made of iron sheet which is 3 m wide. The tank is open at the top. If the cost of the iron sheet is Rs. 10 per metre, then the total cost of the iron sheet required to build the tank is : |
| A. | s. 6000 |
| B. | s. 8000 |
| C. | s. 9000 |
| D. | s. 10000 |
| Answer» B. s. 8000 | |
| 155. |
The length, breadth and height of a cuboid are in the ratio 1 : 2 : 3. The length, breadth and height of the cuboid are increased by 100%, 200% and 200% respectively. Then the increase in the volume of the cuboid is : |
| A. | Times |
| B. | Times |
| C. | 2 Times |
| D. | 7 Times |
| Answer» E. | |
| 156. |
A cistern, open at the top, is to be lined with sheet of lead which weights 27 kg/m2. The cistern is 4.5 m long and 3 m wide and holds 50 m3. The weight of lead required is : |
| A. | 660.5 kg |
| B. | 764.5 kg |
| C. | 860.5 kg |
| D. | 864.5 kg |
| Answer» E. | |
| 157. |
A spherical ball of lead, 3 cm in diameter is melted and recast into three spherical ball. The diameter of two of these are 1.5 cm and 2 cm respectively. The diameter of the third ball is : |
| A. | .5 cm |
| B. | .66 cm |
| C. | cm |
| D. | .5 cm |
| Answer» B. .66 cm | |
| 158. |
The volume of a sphere is $$2145\frac{{11}}{{21}}{\text{c}}{{\text{m}}^3}.$$Its radius is equal to : |
| A. | cm |
| B. | cm |
| C. | cm |
| D. | one of these |
| Answer» C. cm | |
| 159. |
If the ratio of volumes of two cones is 2 : 3 and the ratio of the radii of their bases is 1 : 2, then the ratio of their height will be : |
| A. | : 4 |
| B. | : 3 |
| C. | : 8 |
| D. | : 3 |
| Answer» E. | |
| 160. |
What is the weight of water contained in a conical vessel 21 cm deep and 16 cm in diameter ? |
| A. | .256 kg |
| B. | .408 kg |
| C. | .480 kg |
| D. | .875 kg |
| Answer» C. .480 kg | |
| 161. |
Water flows out through a circular pipe whose internal diameter is 2 cm, at the rate of 6 metres per second into a cylindrical tank, the radius of whose base is 60 cm. By how much will the level of water rise in 30 minutes ? |
| A. | m |
| B. | m |
| C. | m |
| D. | m |
| Answer» C. m | |
| 162. |
A rectangular water reservoir contains 42000 litres of water. If the length of reservoir is 6 m and breadth of the reservoir is 3.5 m, then the depth of the reservoir will be : |
| A. | m |
| B. | m |
| C. | m |
| D. | m |
| Answer» B. m | |
| 163. |
The base of a right prism is a trapezium whose lengths of two parallels sides are 10 cm and 6 cm and distance between them is 5 cm. If the heights of the prism is 8 cm, its volume is : |
| A. | 20 cm3 |
| B. | 00 cm3 |
| C. | 10 cm3 |
| D. | 00.5 cm3 |
| Answer» B. 00 cm3 | |
| 164. |
Length of each edge of a regular tetrahedron is 1 cm. It volume is : |
| A. | $\frac{{\sqrt 3 }}{{12}}{\text{ }}c{m^3}$$ |
| B. | $\frac{1}{4}\sqrt 3 {\text{ }}c{m^3}$$ |
| C. | $\frac{{\sqrt 2 }}{6}{\text{ }}c{m^3}$$ |
| D. | $\frac{1}{{12}}\sqrt 2 {\text{ }}c{m^3}$$ |
| Answer» E. | |
| 165. |
A hemispherical bowl of internal radius 12 cm contains liquid. This liquid is to be filled into cylindrical container of diameter 4 cm and height 3 cm. The number of containers that is necessary to empty the bowl is : |
| A. | 0 |
| B. | 6 |
| C. | 00 |
| D. | 12 |
| Answer» C. 00 | |
| 166. |
The ratio of the surface area of a sphere and the curved surface area of the cylinder circumscribing the sphere is : |
| A. | : 1 |
| B. | : 2 |
| C. | : 1 |
| D. | : 3 |
| Answer» B. : 2 | |
| 167. |
The height of a right circular cylinder is 6 m. If three times the sum of the areas of its two circular faces is twice the area of the curved surface, then the radius of its base is : |
| A. | m |
| B. | m |
| C. | m |
| D. | m |
| Answer» E. | |
| 168. |
The volumes of two cubes are in the ratio 8 : 27. The ratio of their surface areas is : |
| A. | : 3 |
| B. | : 9 |
| C. | 2 : 9 |
| D. | one of these |
| Answer» C. 2 : 9 | |
| 169. |
An aluminium sheet 27 cm long, 8 cm broad and 1 cm thick is melted into a cube. The difference in the surface areas of the two solids would be : |
| A. | il |
| B. | 84 cm2 |
| C. | 86 cm2 |
| D. | 96 cm2 |
| Answer» D. 96 cm2 | |
| 170. |
A swimming pool 9 m wide and 12 m long is 1 m deep on the shallow side and 4 m deep on the deeper side. It volume is : |
| A. | 08 m3 |
| B. | 70 m3 |
| C. | 60 m3 |
| D. | 08 m3 |
| Answer» C. 60 m3 | |
| 171. |
A closed aquarium of dimensions 30 m × 25 cm × 20 cm is made up entirely of glass plates held together with tapes. The total length of tape required to hold the plates together (ignore the overlapping tapes) is : |
| A. | 5 cm |
| B. | 20 cm |
| C. | 50 cm |
| D. | 00 cm |
| Answer» E. | |
| 172. |
A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weights 8 g/cm3, then the weight of the pipe is: |
| A. | .6 kg |
| B. | .696 kg |
| C. | 6 kg |
| D. | 6.9 kg |
| Answer» C. 6 kg | |
| 173. |
In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is: |
| A. | 5 cu. m |
| B. | 50 cu. m |
| C. | 500 cu. m |
| D. | 5000 cu. m |
| Answer» C. 500 cu. m | |
| 174. |
The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height. |
| A. | 3 : 7 |
| B. | 7 : 3 |
| C. | 6 : 7 |
| D. | 7 : 6 |
| Answer» C. 6 : 7 | |
| 175. |
Q: Find the shaded area in the given figure. If each circle having radius of 7cm? |
| A. | 48 sq.cm |
| B. | 44 sq.cm |
| C. | 45 sq.cm |
| D. | 42 sq.cm |
| Answer» E. | |
| 176. |
Δ ABC is right angled at B. If m∠A = 30°, what is the length of AB (in cm), if AC = 10 cm? |
| A. | 5 |
| B. | 5√3 |
| C. | 10√3 |
| D. | 10 |
| Answer» C. 10√3 | |
| 177. |
Δ DEF and Δ GHI are similar triangles. Length of AB is 10 cm and length of the corresponding side DE is 6 cm. What is the ratio of Perimeter of ΔABC to ΔDEF? |
| A. | 0.21041666666667 |
| B. | 0.12847222222222 |
| C. | 1.0479166666667 |
| D. | 0.39236111111111 |
| Answer» B. 0.12847222222222 | |
| 178. |
∆DEF is right angled at E. If m∠F = 45°, then find the value of (tanD - √3/2)._x005F_x000D_ |
| A. | |
| B. | -1/2√3 |
| C. | (2-√3)/2 |
| D. | (3√3-1)/3 |
| Answer» D. (3√3-1)/3 | |
| 179. |
∆PQR is right angled at Q. If m∠P = 60 deg, then find the value of (secR + 1/2)._x005F_x000D_ |
| A. | (2√2+√3)/2_x005F_x000D_ |
| B. | (√3+4)/2√3 |
| C. | √3+2_x005F_x000D_ |
| D. | 44352 |
| Answer» C. √3+2_x005F_x000D_ | |
| 180. |
Δ ABC is right angled at B. If m∠A = 30°. What is the length (in cm) of AB, if AC = 8 cm? |
| A. | 2√3 |
| B. | 4√3 |
| C. | 4/√3 |
| D. | 2/√3 |
| Answer» D. 2/√3 | |
| 181. |
ΔABC a right angled triangle has ∠B = 90° and AC is hypotenuse. D is its circumcentre and AB = 3 cms, BC = 4 cms. The value of BD is |
| A. | 3 cms |
| B. | 4 cms |
| C. | 2.5 cms |
| D. | 5.5 cms |
| Answer» D. 5.5 cms | |
| 182. |
Δ XYZ is right angled at Y. If m∠Z = 30°. What is the length of YZ (in cm), if ZX = 9 cm? |
| A. | 6√3 |
| B. | 9√3/2 |
| C. | 3√3 |
| D. | 18 |
| Answer» C. 3√3 | |
| 183. |
Δ PQR is right angled at Q. If m∠R = 60°, what is the length of PR (in cm), if RQ = 4√3 cm? |
| A. | 8 |
| B. | 4 |
| C. | 8/√3 |
| D. | 8√3 |
| Answer» E. | |
| 184. |
ΔABC is an equilateral triangle and D, E are midpoints of AB and BC respectively. Then the area of ΔABC : the area of the trapezium ADEC is |
| A. | 0.21041666666667 |
| B. | 0.16736111111111 |
| C. | 0.33680555555556 |
| D. | 0.16875 |
| Answer» E. | |
| 185. |
ΔABC is right angled at B. BD is its altitude. AD = 4 cm and DC = 12 cm. What is the value of AB (in cm)? |
| A. | 9 |
| B. | 10 |
| C. | 6 |
| D. | 8 |
| Answer» E. | |
| 186. |
ΔABC is similar to ΔDEF. Length of AB is 12 cm and length of the corresponding side DE is 8 cm. What is the ratio of Perimeter of ΔABC : Perimeter of ΔDEF? |
| A. | 0.37777777777778 |
| B. | 0.17291666666667 |
| C. | 0.12638888888889 |
| D. | 0.085416666666667 |
| Answer» D. 0.085416666666667 | |
| 187. |
ΔABC is right angled at B. BD is the altitude. AD is 8 cm and DC is 50 cm. What is the length of BD? |
| A. | 25 cm |
| B. | 20 cm |
| C. | 16 cm |
| D. | 15 cm |
| Answer» C. 16 cm | |
| 188. |
ΔABC is right angled at B. If m∠A = 60 deg, then find the value of (secC + 2) |
| A. | (2+2√3)/√2 |
| B. | 44259 |
| C. | (2+2√3)/√3 |
| D. | 4/√3 |
| Answer» D. 4/√3 | |
| 189. |
ΔABC is isosceles having AB = AC and ∠A = 40°. Bisectors PO and OQ of the exterior angles ∠ABD and ∠ACE formed by producing BC on both sides, meet at O. Then the value of ∠BOC is |
| A. | 70° |
| B. | 110° |
| C. | 80° |
| D. | 55° |
| Answer» B. 110° | |
| 190. |
ΔABC is similar to ΔDEF. Length of AB is 18 cm and length of the corresponding side DE is 10 cm. What is the ratio of Perimeter of ΔABC : Perimeter of ΔDEF? |
| A. | 0.21458333333333 |
| B. | 0.37847222222222 |
| C. | 3.3923611111111 |
| D. | 25:81 |
| Answer» C. 3.3923611111111 | |
| 191. |
ΔPQR has sides PQ and PR measuring 983 and 893 units respectively. How many such triangles are possible with all integral sides? |
| A. | 1876 |
| B. | 90 |
| C. | 1785 |
| D. | 1786 |
| Answer» D. 1786 | |
| 192. |
ΔABC is similar to ΔPQR. Length of AB is 18 cm and length of the corresponding side PQ is 12 cm. If area of ΔABC is 324 sq cm, what is the area of ΔPQR? |
| A. | 72 sq cm |
| B. | 144 sq cm |
| C. | 36 sq cm |
| D. | 487.5 sq cm |
| Answer» C. 36 sq cm | |
| 193. |
ΔPQR is right angled at Q. If cosP = 3/5, then what is the value of cosR ? |
| A. | 44289 |
| B. | 44260 |
| C. | 44320 |
| D. | 44259 |
| Answer» D. 44259 | |
| 194. |
ΔXYZ is similar to ΔPQR. If ratio of Perimeter of ΔXYZ and Perimeter of ΔPQR is 16:9 and PQ = 3.6 cm, then what is the length(in cm) of XY? |
| A. | 4.8 |
| B. | 3.2 |
| C. | 6.4 |
| D. | 8.6 |
| Answer» D. 8.6 | |
| 195. |
ΔXYZ is similar to ΔPQR. If ratio of Perimeter of ΔXYZ and Perimeter of ΔPQR is 4:9 and if PQ = 27 cm, then what is the length of XY (in cm)? |
| A. | 9 |
| B. | 12 |
| C. | 16 |
| D. | 15 |
| Answer» C. 16 | |
| 196. |
___ is the point at which the perpendicular bisectors of the sides meet and the center of the circle that circumscribes the triangle is ____. |
| A. | Incenter, Circumcenter |
| B. | Circumcenter, Circumcenter |
| C. | Circumcenter, Incenter |
| D. | Orthocenter, Circumcenter |
| Answer» C. Circumcenter, Incenter | |
| 197. |
Find the volume (in cm3) of a hemisphere of diameter 42 cm. |
| A. | 17832 |
| B. | 153512 |
| C. | 13858 |
| D. | 19404 |
| Answer» E. | |
| 198. |
The line bisecting all the three angles of a triangle meets at a common point. This point is known as ______________. |
| A. | circum-center |
| B. | centroid |
| C. | orthocenter |
| D. | in-center |
| Answer» E. | |
| 199. |
In ΔDEF measure of angle E is 90 deg. If tanD = 4/3, and DE = 6cm, then what is the length (in cm) of side EF? |
| A. | 10 |
| B. | 5 |
| C. | 8 |
| D. | 4 |
| Answer» D. 4 | |
| 200. |
 A wooden bowl is in shape of a hollow hemisphere of internal radius 8 cm and thickness 1 cm. Find the total surface area of the bowl? |
| A. | 964.85 sq cms |
| B. | 1125.14 sq cms |
| C. | 1687.71 sq cms |
| D. | 281.29 sq cms |
| Answer» B. 1125.14 sq cms | |