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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.
| 151. |
All the four sides of a parallelogram are of equal length. The diagonals are in the ratio 1 : 2 If the sum of the lengths of the diagonals is 12cm, then what is the area of the parallelogram? |
| A. | 9 cm2 |
| B. | 12 cm2 |
| C. | 16 cm2 |
| D. | 25 cm2 |
| Answer» D. 25 cm2 | |
| 152. |
In the figure below, AC + AB = 5AD and AC - AD = 8. The area of the rectangle ABCD is |
| A. | 36 |
| B. | 50 |
| C. | 60 |
| D. | 70 |
| Answer» D. 70 | |
| 153. |
In ΔABC, the bisectors of ∠B and ∠C intersect each other at a point D. If ∠BDC = 107°, then the measure of ∠A is: |
| A. | 30° |
| B. | 32° |
| C. | 26° |
| D. | 34° |
| Answer» E. | |
| 154. |
A wheel has diameter 84 cm, then how far does the wheel go (in metres) in 16 revolutions? (Take π = 22/7) |
| A. | 27.48 |
| B. | 21.12 |
| C. | 42.24 |
| D. | 36.28 |
| Answer» D. 36.28 | |
| 155. |
A semi-circular plate is rolled up to form a conical surface. The angle between the generator and the axis of the cone is |
| A. | 60° |
| B. | 45° |
| C. | 30° |
| D. | 15° |
| Answer» D. 15° | |
| 156. |
In an isosceles triangle, the length of each equal side is twice the length of the third side. The ratio of areas of the isosceles triangle and an equilateral triangle with the same perimeter is: |
| A. | 30√5 : 100 |
| B. | 32√5 : 100 |
| C. | 36√5 : 100 |
| D. | 42√5 : 100 |
| Answer» D. 42√5 : 100 | |
| 157. |
In ΔABC, D, E and F are the midpoints of sides AB, BC and CA, respectively. If AB = 12 cm, BC = 20 cm and CA = 15 cm, then the value of \(\frac{1}{2}\left( {DE + EF + DF} \right)\) is: |
| A. | 23.5 cm |
| B. | 5.88 cm |
| C. | 15.67 cm |
| D. | 11.75 cm |
| Answer» E. | |
| 158. |
A square field of area 31684 sq. meters is to be enclosed with wire placed at heights 1, 2, 3, 4 meters above the ground. What length of the wire will be required, if the length required for each wire is 5% greater than the perimeter of the field? |
| A. | 2099 m |
| B. | 2309 m |
| C. | 2990.4 m |
| D. | 2090 m |
| Answer» D. 2090 m | |
| 159. |
Numerical value of the perimeter and the area of a circle are equal. What will be the numerical value of the radius of the circle? |
| A. | 02 unit |
| B. | 04 unit |
| C. | 1 / 2 unit |
| D. | π unit |
| Answer» B. 04 unit | |
| 160. |
If the length of a rectangle is increased by 10%, but the area remains unchanged, then its corresponding breadth must have been decreased by |
| A. | (11/9)% |
| B. | (9/11)% |
| C. | (1/9)% |
| D. | (1/11)% |
| Answer» E. | |
| 161. |
A tent is in the shape of a cone surmounted on the top of a cylinder. Height of the cone is half that of the cylinder and the base radius of the cylinder is 3 m. If the canvas required for the tent is 198 m2, then the total height of the tent (in meters) is: |
| A. | 5 |
| B. | 6 |
| C. | 8 |
| D. | 12 |
| Answer» E. | |
| 162. |
Find the total surface area (in cm2) of a hemisphere of diameter 42 cm. |
| A. | 4158 |
| B. | 5782 |
| C. | 6321 |
| D. | 7782 |
| Answer» B. 5782 | |
| 163. |
D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD : DB = 2 : 5 and area of ΔADE is 8 sq cm, what is the ratio of area of ΔADE : area of quadrilateral BDEC? |
| A. | (4 : 45) |
| B. | (45 : 4) |
| C. | (8 : 45) |
| D. | (45 : 8) |
| Answer» B. (45 : 4) | |
| 164. |
If the circumference of a circle is 18.6 cm greater than its diameter, what will be the diameter of the circle? |
| A. | 8.68 cm |
| B. | 8.84 cm |
| C. | 7.54 cm |
| D. | 7.84 cm |
| Answer» B. 8.84 cm | |
| 165. |
A wheel makes 360 revolutions in one minute. What is the number of radians it turns in one second? |
| A. | 4π |
| B. | 6π |
| C. | 12π |
| D. | 16π |
| Answer» D. 16π | |
| 166. |
How many cubes with a side 10 cm be cut out of a cube having a side of 10 metres? |
| A. | 10,000 |
| B. | 1,00,000 |
| C. | 1,00,00,000 |
| D. | 10,00,000 |
| Answer» E. | |
| 167. |
______ is equal to the area of top and bottom surfaces + area of left and right surfaces + area of front and back surfaces. |
| A. | Diagonal of a cube |
| B. | Volume of a cuboid |
| C. | Volume of a cube |
| D. | Surface area of a cuboid |
| Answer» E. | |
| 168. |
A hollow iron pipe is 10 cm long and its external diameter is 18 cm. If the thickness of the pipe is 2 cm and iron weighs 8.5 g/cm3, then the weight of the pipe from the following is closest to: |
| A. | 8.54 kg |
| B. | 9.54 kg |
| C. | 7.54 kg |
| D. | 5.54 kg |
| Answer» B. 9.54 kg | |
| 169. |
In the given figure, what is the area of the shaded region? |
| A. | \(9\left( {\pi - \sqrt 3 } \right)\) sq units |
| B. | \(3\left( {4\pi - 3\sqrt 3 } \right)\) sq units |
| C. | \(3\left( {3\pi - 4\sqrt 3 } \right)\) sq units |
| D. | \(9\left( {\sqrt 3 - \pi } \right)\) sq units |
| Answer» C. \(3\left( {3\pi - 4\sqrt 3 } \right)\) sq units | |
| 170. |
A well of diameter 3m and depth 14 m is dug. The earth, taken out of it, has been evenly spread all around it in the shape of a circular ring of width 4m to form an embankment. Find the height of embankment. |
| A. | 9/8 |
| B. | 7/8 |
| C. | 4/8 |
| D. | 1/8 |
| Answer» B. 7/8 | |
| 171. |
If each side of a square is decreased by 25% then the ratio of the area of the resulting square to the area of the given square is: |
| A. | 16 : 25 |
| B. | 4 : 9 |
| C. | 9 : 16 |
| D. | 25 : 36 |
| Answer» D. 25 : 36 | |
| 172. |
In a circular park of diameter 80 m, there is a square-shaped playground of maximum area. The area of the playground is |
| A. | 6400 m2 |
| B. | 1600 m2 |
| C. | 3200 m2 |
| D. | 12800 m2 |
| Answer» D. 12800 m2 | |
| 173. |
If two hemispheres of curved surface area 8π cm2 each are joined together to form a sphere. What is the total surface area of the sphere? |
| A. | 4π cm2 |
| B. | 32π cm2 |
| C. | 8π cm2 |
| D. | 16π cm2 |
| Answer» E. | |
| 174. |
A circle has the same area as that of a square of diagonal of length 11.0 cm. What is the diameter of the circle? |
| A. | ∼ 8.7 cm |
| B. | ∼ 17.4 cm |
| C. | ∼ 7.8 cm |
| D. | ∼ 15.6 cm |
| Answer» B. ∼ 17.4 cm | |
| 175. |
A copper wire is bent in the shape of a square of area 81 cm2. If the same wire is bent in the form of a semicircle, the radius (in cm) of the semicircle is \((use \ \pi = \frac{22}{7})\) |
| A. | 7 |
| B. | 126 |
| C. | 10 |
| D. | 14 |
| Answer» B. 126 | |
| 176. |
Into a conical tent of radius 8.4 m and vertical height 3.5 m, how many full bags of wheat can be emptied, if space required for the wheat in each bag is 1.96 m3? |
| A. | 264 |
| B. | 201 |
| C. | 132 |
| D. | 105 |
| Answer» D. 105 | |
| 177. |
If the area of a rectangular region is 560 cm2 and one of its side is 20 cm then find its perimeter? |
| A. | 97 cm |
| B. | 85 cm |
| C. | 96 cm |
| D. | 98 cm |
| Answer» D. 98 cm | |
| 178. |
A hollow sphere of 4 cm and 6 cm inner and outer diameter, respectively, is melted into a cone of 8 cm base diameter. Find the height of the cone. |
| A. | 4.75 cm |
| B. | 38 cm |
| C. | 9.5 cm |
| D. | 19 cm |
| Answer» B. 38 cm | |
| 179. |
A conical vessel, whose internal radius is 12 cm and height 50 cm is full of liquid. The contents are emptied into a cylindrical vessel with an internal radius 10 cm. Find the height to which the liquid rises in the cylindrical vessel. |
| A. | 20 cm |
| B. | 22 cm |
| C. | 24 cm |
| D. | 26 cm |
| Answer» D. 26 cm | |
| 180. |
Radius of base of a hollow cone is 8 cm and its height is 15 cm. A sphere of largest radius is put inside the cone. What is the ratio of radius of base of cone to the radius of sphere? |
| A. | 5 : 3 |
| B. | 4 : 1 |
| C. | 2 : 1 |
| D. | 7 : 3 |
| Answer» B. 4 : 1 | |
| 181. |
Find the perimeter of a quadrant of a circle whose radius is 7 cm. |
| A. | 25 cm |
| B. | 11 cm |
| C. | 22 cm |
| D. | 44/7 cm |
| Answer» B. 11 cm | |
| 182. |
How many cubes of side 3cm can be made from a cuboid of size10cm × 6cm × 9cm? |
| A. | 10 |
| B. | 20 |
| C. | 30 |
| D. | 60 |
| Answer» C. 30 | |
| 183. |
ΔPQR is a right angled at Q. If PQ = 8 cm and PR = (QR + 2) cm. What is the value (in cm) of PR? |
| A. | 17 |
| B. | 15 |
| C. | 19 |
| D. | 18 |
| Answer» B. 15 | |
| 184. |
A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage decrease in its area? |
| A. | 10% |
| B. | 10.08% |
| C. | 20% |
| D. | 28% |
| Answer» E. | |
| 185. |
If the circumference of a circle is 18π cm, then the area of the circle isA. 18π square cmB. 18π2 square cmC. 81π square cmD. 9π square cm |
| A. | A |
| B. | D |
| C. | B |
| D. | C |
| Answer» E. | |
| 186. |
If length : breadth : height is 3 : 2 : 1, respectively, for a cuboid with volume 48 cu cm, then what will be its lateral surface area? |
| A. | 40 sq cm |
| B. | 60 sq cm |
| C. | 80 sq cm |
| D. | 30 sq cm |
| Answer» B. 60 sq cm | |
| 187. |
A spherical balloon was deflated till its radius was reduced to one-third of original. If its volume becomes n times of its original volume, then the value of n is.. |
| A. | \(\frac{1}{3}\) |
| B. | \(\frac{1}{18}\) |
| C. | \(\frac{1}{27}\) |
| D. | 27 |
| Answer» D. 27 | |
| 188. |
Find the curved surface area of cone whose height is 3 m and radius is 4 m. (approximate value) (The value of π is 22/7) |
| A. | 63 m2 |
| B. | 33 m2 |
| C. | 45 m2 |
| D. | 79 m2 |
| Answer» B. 33 m2 | |
| 189. |
A cylindrical surface having a height of 3 cm and a radius of 5 cm needs to be sellotaped around. What will be the minimum length of Sellotape required to wrap the cylinder once if the breadth of the Sellotape is 8 cm? |
| A. | 15π |
| B. | 5π |
| C. | 25π |
| D. | 10π |
| Answer» E. | |
| 190. |
A rhombus OABC is drawn inside a circle whose centre is at O in such a way that the vertices A, B and C of the rhombus are on the circle. If the area of the rhombus is 32√3 m2, then the radius of the circle will be |
| A. | 8 m |
| B. | 64 m |
| C. | 32 m |
| D. | None of the above |
| Answer» B. 64 m | |
| 191. |
If the areas of three adjacent faces of a rectangular box which meet in a corner are 12 cm2, 15 cm2 and 20 cm2 respectively. Then the volume of the box is |
| A. | 3600 cm3 |
| B. | 300 cm3 |
| C. | 60 cm3 |
| D. | 180 cm3 |
| Answer» D. 180 cm3 | |
| 192. |
Height of a cone is 12 cm and radius of its base is 3 cm. The cone is cut into two parts by a plane parallel to its base such that height of both the parts is same. What is the ratio of volume of upper part and lower part respectively? |
| A. | 1 : 3 |
| B. | 1 : 7 |
| C. | 1 : 8 |
| D. | 1 : 4 |
| Answer» C. 1 : 8 | |
| 193. |
A solid sphere of radius 12 cm is melted so as to make small solid cylinders of radius 1 cm and height 2 cm. How many such small cylinders can be made? |
| A. | 1156 |
| B. | 1152 |
| C. | 1252 |
| D. | 1052 |
| Answer» C. 1252 | |
| 194. |
A copper wire of radius 0.5 mm and length \(42\frac{2}{3}\) m is melted and converted into a sphere of radius R cm. What is the value of R? |
| A. | 3 cm |
| B. | 2 cm |
| C. | 1.5 cm |
| D. | 1.8 cm |
| Answer» C. 1.5 cm | |
| 195. |
In the following figure PY and RX are the medians of the right angled triangle PQR, if PR = 8 cm, then PY2 + RX2 = ? |
| A. | 128 cm |
| B. | 96 cm |
| C. | 64 cm |
| D. | 80 cm |
| Answer» E. | |
| 196. |
ΔABC is an equilateral triangle in which D, E and F are the points on side BC, AC and AB, respectively, such that AD ⊥ BC, BE ⊥ AC and CF ⊥ AB, which of the following is true? |
| A. | 2AB2 = 3AD2 |
| B. | 3AC2 = 4BE2 |
| C. | 7AB2 = – 9AD2 |
| D. | 4AC2 = 5BE2 |
| Answer» C. 7AB2 = – 9AD2 | |
| 197. |
In circle with centre O, AB is a diameter and CD is a chord such that ABCD is a trapezium. If ∠BAC = 15°, then ∠CAD is equal to |
| A. | 30° |
| B. | 75° |
| C. | 60° |
| D. | 45° |
| Answer» D. 45° | |
| 198. |
A cylindrical bucket of radius 96 cm and height 54 cm is filled with sand. The bucket is emptied on the ground and a conical heap of base radius x cm is formed. If the height of the heap is 72 cm, then what is the value of x? |
| A. | 108 |
| B. | 196 |
| C. | 144 |
| D. | 120 |
| Answer» D. 120 | |
| 199. |
A hall is 15 m long and 12 m broad.If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume(in m3) of the hall is: |
| A. | 1600 |
| B. | 900 |
| C. | 1200 |
| D. | 720 |
| Answer» D. 720 | |
| 200. |
If V be the volume of a right circular cone, A be the area of the base and H be its height, then the value of \(\frac{{AH}}{V}\) is |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | None of the above |
| Answer» C. 4 | |