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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.
| 801. |
A cylinder has the same height as the radius of its base. A hollow sphere has the same outer radius as that of the base of the cylinder while the inner radius is half of the outer radius. Find the ratio of the volumes of the cylinder to the hollow sphere. |
| A. | 5 : 6 |
| B. | 7 : 8 |
| C. | 6 : 7 |
| D. | 3 : 4 |
| Answer» D. 3 : 4 | |
| 802. |
Angles of the triangle are in the ratio of 1 : 2 : 3. Choose the correct triangle for the given ratio. |
| A. | Equilateral |
| B. | Isosceles |
| C. | Right angle |
| D. | Obtuse angled |
| Answer» D. Obtuse angled | |
| 803. |
One side of a rectangular field is 5 m and one its diagonal is 13 m. Find the area of the filed. |
| A. | 60 m2 |
| B. | 80 m2 |
| C. | 70 m2 |
| D. | 90 m2 |
| Answer» B. 80 m2 | |
| 804. |
Find the cost of carpeting a room which is 11 m long and 6 m broad by a carpet which is 60 cm broad at the rate of Rs. 112.50 per meter. |
| A. | Rs. 12, 375 |
| B. | Rs. 13, 280 |
| C. | Rs. 11, 695 |
| D. | Rs. 12, 040 |
| Answer» B. Rs. 13, 280 | |
| 805. |
A hollow spherical shell is made up to a metal of density 3 g/cm3. If the internal and external radii are 5 cm and 6 cm respectively, then what is the mass of the shell? (Take π = 22/7) |
| A. | 1144 g |
| B. | 1024 g |
| C. | 840 g |
| D. | 570 g |
| Answer» B. 1024 g | |
| 806. |
How many cubic metre of earth is to be dug out to dig a well of radius 1.4 m and depth 5 m? |
| A. | 30.2 cubic metre |
| B. | 30.4 cubic metre |
| C. | 30.6 cubic metre |
| D. | 30.8 cubic metre |
| Answer» E. | |
| 807. |
If a cube with length, height and width equal to 10 cm, is reduced to a smaller cube of height, length and width of 9 cm then reduction in volume is: |
| A. | 172 cm3 |
| B. | 729 cm3 |
| C. | 271 cm3 |
| D. | None of the options |
| Answer» D. None of the options | |
| 808. |
Area of a square ABCD is 256 m2 . Find the area of the triangle ABC. |
| A. | 200 m2 |
| B. | 128 m2 |
| C. | 64 m2 |
| D. | 32 m2 |
| Answer» C. 64 m2 | |
| 809. |
A hollow copper pipe is 22 cm long and its external diameter is 28 cm. If the thickness of the pipe is 3 cm and iron weighs 8.5 g/cm3 , then the weight of the pipe is closest to: |
| A. | 34 kg |
| B. | 44 kg |
| C. | 14 kg |
| D. | 24 kg |
| Answer» C. 14 kg | |
| 810. |
In the given figure, ABC and BDE are two equilateral triangles such that D is the midpoint of BC. If the area of ΔABC is 156 cm2, then find the area of ΔBDE. |
| A. | 42 cm2 |
| B. | 46 cm2 |
| C. | 78 cm2 |
| D. | 39 cm2 |
| Answer» E. | |
| 811. |
If the three sides of a right angled triangle are in arithmetic progression, then the sides are - |
| A. | 1, 2, 3 |
| B. | 2, 3, 4 |
| C. | 3, 4, 5 |
| D. | 4, 5, 6 |
| Answer» D. 4, 5, 6 | |
| 812. |
If the height of an equilateral triangle is 20√2 cm, then what is its area (in cm2)? |
| A. | \(\frac{1}{3}400\sqrt 3\) |
| B. | \(\frac{1}{3}800\sqrt 3\) |
| C. | 400/3 |
| D. | 800/3 |
| Answer» C. 400/3 | |
| 813. |
A cylindrical kaleidoscope is of length 25 cm and radius 3.5 cm. The curved surface area of kaleidoscope is - |
| A. | 450 cm2 |
| B. | 500 cm2 |
| C. | 525 cm2 |
| D. | 550 cm2 |
| Answer» E. | |
| 814. |
A 5-m-deep cylindrical pit having a radius of 1.4 m is dug in a field. The earth so dug out is used to raise a platform of 10 m × 8 m. What is the height of the platform (in cm)?\(\left( {\text{Use}\,\pi = \frac{{22}}{7}} \right)\) |
| A. | 38.5 |
| B. | 7.7 |
| C. | 137.5 |
| D. | 30 |
| Answer» B. 7.7 | |
| 815. |
A horse is tied to a pole with 28 m long string. The area where the horse grazed is equal to - |
| A. | 246 m2 |
| B. | 2404 m2 |
| C. | 2464 m2 |
| D. | 2164 m2 |
| Answer» D. 2164 m2 | |
| 816. |
A Cuboidal glass box is 25 cm long, 20 cm wide and 10 cm height. The area of glass box is -- |
| A. | 15,000 cm2 |
| B. | 1,000 cm2 |
| C. | 1,900 cm2 |
| D. | 1,800 cm2 |
| Answer» D. 1,800 cm2 | |
| 817. |
A circular park whose diameter is 210 m has a 5 m wide path running around it (on the outside). What is the area (in m2) of the path? |
| A. | 1020π |
| B. | 1050π |
| C. | 1100π |
| D. | 1075π |
| Answer» E. | |
| 818. |
A right circular solid cone of radius 3.2 cm and height 7.2 cm is melted and recast into a right circular cylinder of height 9.6 cm. What is the diameter of the base of the cylinder? |
| A. | 4.2 cm |
| B. | 3.5 cm |
| C. | 4.5 cm |
| D. | 3.2 cm |
| Answer» E. | |
| 819. |
A right circular cone is sliced into a smaller cone and a frustum of a cone by a plane perpendicular to its axis. The volume of the smaller cone and the frustum of the cone are in the ratio 64 ∶ 61. Then their curved surface areas are in the ratio |
| A. | 4 ∶ 1 |
| B. | 16 ∶ 9 |
| C. | 64 ∶ 61 |
| D. | 81 ∶ 64 |
| Answer» C. 64 ∶ 61 | |
| 820. |
If the perimeter of a rectangle with one side 10 cm is 56 cm, then its area is: |
| A. | 186 sq cm |
| B. | 286 sq cm |
| C. | 180 sq cm |
| D. | 280 sq cm |
| Answer» D. 280 sq cm | |
| 821. |
If the surface area of cube is 294 cm2, then what is the volume (in cm3) of the cube? |
| A. | 343 |
| B. | 512 |
| C. | 379 |
| D. | 313 |
| Answer» B. 512 | |
| 822. |
In the given figure, if AD = 3, DE = 4, AB = 12, BF = 2, FG = 6, BC = 10, then the value of \(\frac M N\) is:(Assume: M is the area of the quadrilateral FGDE and N is the area of the triangle ABC.) |
| A. | \(\frac 1 3\) |
| B. | \(\frac {25} {49}\) |
| C. | \(\frac 1 2\) |
| D. | \(\frac {31} {60}\) |
| Answer» E. | |
| 823. |
How many square pieces can be cut from a metal sheet of length 4 m and breadth 2.5 m if the side of the square piece is 25 cm. |
| A. | 480 |
| B. | 160 |
| C. | 400 |
| D. | 120 |
| Answer» C. 400 | |
| 824. |
A square is drawn such that its vertices are lying on a circle of radius 201 mm. What is the ratio of area of circle to that of square? |
| A. | 11 : 7 |
| B. | 7 : 11 |
| C. | 20 : 19 |
| D. | 19 : 20 |
| Answer» B. 7 : 11 | |
| 825. |
2541 spherical metallic balls, each having a radius of 1 cm, are melted to form a cube. The surface area of the cube (in square cm2) will be in the nearest form: |
| A. | 1936 |
| B. | 2904 |
| C. | 2992 |
| D. | 3168 |
| Answer» C. 2992 | |
| 826. |
A hollow right circular cylindrical vessel of volume V whose diameter is equal to its height, is completely filled with water, a heavy sphere of the maximum possible volume is then completely immersed in the vessel. What volume of water remains in the vessel? |
| A. | V/2 |
| B. | V/3 |
| C. | 2V/3 |
| D. | V/4 |
| Answer» C. 2V/3 | |
| 827. |
ΔPDC is drawn inside the square ABCD of side 24 cm where P lies on AB. What is the area of the triangle? |
| A. | 200 cm2 |
| B. | 288 cm2 |
| C. | 280 cm2 |
| D. | 298 cm2 |
| Answer» C. 280 cm2 | |
| 828. |
ABC and BDE are two equilateral triangles such that D is the mid point of BC and E is the mid point of BA. Find the ratio of the areas of triangles ABC and BDE. |
| A. | 2 : 1 |
| B. | 1 : 2 |
| C. | 4 : 1 |
| D. | 1 : 4 |
| Answer» D. 1 : 4 | |
| 829. |
If the length of the diagonal of a cube is 3√3 m, then the volume of the cube is: |
| A. | 36 m3 |
| B. | 49 m3 |
| C. | 27 m3 |
| D. | 16 m3 |
| Answer» D. 16 m3 | |
| 830. |
ABCD is a quadrilateral such that AD = DC = CA = 20 units, BC = 12 units and ∠ABC = 90°. What is the approximate area of the quadrilateral ABCD? |
| A. | 269 sq units |
| B. | 300 sq units |
| C. | 325 sq units |
| D. | 349 sq units |
| Answer» B. 300 sq units | |
| 831. |
In a rhombus ABCD, if AC = 8cm, BD = 6cm, then AB =_____. |
| A. | 4 cm |
| B. | 5 cm |
| C. | 3 cm |
| D. | 6 cm |
| Answer» C. 3 cm | |
| 832. |
If two hemispheres of curved surface area 8π cm2 each are joined together to form a sphere. What is the volume of the sphere so formed in cm3? |
| A. | 4π |
| B. | 16π |
| C. | 32π / 3 |
| D. | 8π |
| Answer» D. 8π | |
| 833. |
A circle is drawn at all corner of a regular hexagon, taking vertex as center. If side of hexagon is 14 m and two circle meets at mid-point of side of hexagon, find the area of hexagon left by all the sector. |
| A. | 355.22 |
| B. | 415.77 |
| C. | 509.22 |
| D. | 201.22 |
| Answer» E. | |
| 834. |
A 6 meter wide pathway has been constructed along the periphery and inside of a square field of length 50 meter. The total expenditure to cover this pathway with red sand at the rate of Rs. 30 per square meter, is: |
| A. | Rs. 75000 |
| B. | Rs. 58080 |
| C. | Rs. 31680 |
| D. | Rs. 1080 |
| Answer» D. Rs. 1080 | |
| 835. |
If the circumference of a circle is 22 cm, find the area of the semicircle. |
| A. | 38.5 sq.cm |
| B. | 19.25 sq.cm |
| C. | 44 sq.cm |
| D. | 77 sq.cm |
| Answer» C. 44 sq.cm | |
| 836. |
A water tank is 20 m long, 12 m wide and 6 m deep. What is the cost of plastering its walls and bottom at Rs. 2.50 per sq. meter? |
| A. | Rs. 1,580 |
| B. | Rs. 1,620 |
| C. | Rs. 1,650 |
| D. | Rs. 1,560 |
| Answer» E. | |
| 837. |
An open cuboidal cistern is externally 1.6 m long, 1.3 m wide and 53 cm high. Its capacity is 900 litres and its walls are 5 cm thick. The thickness (in cm) of the bottom is: |
| A. | 4 |
| B. | 3 |
| C. | 5 |
| D. | 2 |
| Answer» C. 5 | |
| 838. |
A cube is placed inside a cone of radius 20 cm and height 10 cm, one of its faces being on the base of the cone and vertices of opposite face touching the cone. What is the length (in cm) of side of the cube? |
| A. | 5 |
| B. | 6 |
| C. | 8 |
| D. | 9 |
| Answer» D. 9 | |
| 839. |
A triangle ABC has area 32 sq units and its side BC, of length 8 units, lies on the line x = 4. Then the shortest possible distance between A and the point (0, 0) is |
| A. | 8 units |
| B. | 2√2 units |
| C. | 4 units |
| D. | 4√2 unit |
| Answer» D. 4√2 unit | |
| 840. |
A wooden crate 1.8 m long, 1.5 m wide and 1.2 m in height is filled with iron cubes that are 6 cm wide. Find the maximum number of iron cubes that can be fitted in the crate. |
| A. | 13,500 |
| B. | 15,000 |
| C. | 14,500 |
| D. | 14,000 |
| Answer» C. 14,500 | |
| 841. |
If the perimeter of a square is 72 cm, then its area is: |
| A. | 324 sq cm |
| B. | 244 sq cm |
| C. | 288 sq cm |
| D. | 144 sq cm |
| Answer» B. 244 sq cm | |
| 842. |
If each core of a cube is 3 centimetre, then its surface area is : |
| A. | 54 Cubic Centimeter |
| B. | 9 Square Centimeter |
| C. | 54 Square Centimeter |
| D. | None of these |
| Answer» D. None of these | |
| 843. |
A sphere of radius 9 cm is melted and recast into small spheres of radius 2 cm each. How many such sphere can be made? |
| A. | 91 |
| B. | 93 |
| C. | 92 |
| D. | 90 |
| Answer» B. 93 | |
| 844. |
If the side of a square is increased by 20%, its area is increased by k%. Find the value of 'k'. |
| A. | 24 |
| B. | 36 |
| C. | 20 |
| D. | 44 |
| Answer» E. | |
| 845. |
Find the volume (in cm3) of a right circular cone of diameter 7 cm and height 7 cm. |
| A. | 69.06 |
| B. | 16.43 |
| C. | 11.15 |
| D. | 89.83 |
| Answer» E. | |
| 846. |
A steel vessel has a base of length 60 cm and breadth 30 cm. Water is poured in the vessel. A cubical steel box having edge of 30 cm is immersed completely in the vessel. By how much will the water rise? |
| A. | 12 cm |
| B. | 15 cm |
| C. | 10 cm |
| D. | 9 cm |
| Answer» C. 10 cm | |
| 847. |
How many rectangular plots of dimensions 40 m by 60 m can be made from a rectangular field of dimensions 120 m by 160 m? |
| A. | 4 |
| B. | 2 |
| C. | 3 |
| D. | 8 |
| Answer» E. | |
| 848. |
If the lengths of the two parallel sides of a trapezium are 8 cm and 10 cm and its area is 54 cm². Find the distance between its parallel sides (in cm). |
| A. | 6 |
| B. | 3 |
| C. | 12 |
| D. | 9 |
| Answer» B. 3 | |
| 849. |
Find the area of a square whose diagonal is half of 12 cm. |
| A. | 18 sq. cm |
| B. | 64 sq. cm |
| C. | 36 sq. cm |
| D. | 72 sq. cm |
| Answer» B. 64 sq. cm | |
| 850. |
A Lawn roller makes 20 revolutions in one hour. The radians it runs through 25 minutes is: |
| A. | 150π/7 |
| B. | 250π/3 |
| C. | 50π/3 |
| D. | 50π/7 |
| Answer» D. 50π/7 | |