MCQOPTIONS
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MCQOPTIONS
This section includes 33 Mcqs, each offering curated multiple-choice questions to sharpen your Quantitative Aptitude knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
A solid metallic cube is melted to form five solid cubes whose volumes are in the ratio 1 : 1 : 8 : 27 : 27. The percentage by which the sum of the surface areas of these five cubes exceeds the surface area of the original cube is nearest to |
| A. | 10 |
| B. | 50 |
| C. | 60 |
| D. | 20 |
| Answer» C. 60 | |
| 2. |
A rectangular block 6 cm × 12 cm × 15 cm is cut into exact number of equal cubes. The possible number of cubes will be |
| A. | 11 |
| B. | 40 |
| C. | 6 |
| D. | 33 |
| Answer» C. 6 | |
| 3. |
A park in the shape of a quadrilateral ABCD has ∠C = 90°, AB = 9 m, BC = 12 m, CD = 5 m and AD=8 m. The area it occupies is: |
| A. | (30 + 4√35) m2 |
| B. | (30 + 7√35) m2 |
| C. | (30 + 5√35) m2 |
| D. | (30 + 6√35) m2 |
| Answer» E. | |
| 4. |
If length of the tangent is 12 cm and distance from circumference is 8 cm then radius will be |
| A. | 5 cm |
| B. | 13 cm |
| C. | 4 cm |
| D. | 12 cm |
| Answer» B. 13 cm | |
| 5. |
If a circle and a square have the same perimeter, then |
| A. | their areas are equal |
| B. | the area of the circle is greater than the area of the square |
| C. | the area of the square is greater than the area of circle |
| D. | the area of the circle is two times the area of the square |
| Answer» C. the area of the square is greater than the area of circle | |
| 6. |
Length of a room is \(1 \dfrac{1}{2}\) times its breadth. If its height be 3.3 m and volume be \(123 \dfrac{3}{4} m^3\), find the length of the room: |
| A. | 7.5 m |
| B. | 7.2 m |
| C. | 8.2 m |
| D. | 8.4 m |
| Answer» B. 7.2 m | |
| 7. |
A park is in the shape of a rectangle. Its length and breadth are 240 m and 100 m, respectively. At the centre of the park. there is a circular lawn. The area of the park, excluding the lawn is 3904. What is the perimeter (in m) of the lawn? (use π = 3.14 ) |
| A. | 502.4 |
| B. | 516.2 |
| C. | 508.6 |
| D. | 512.8 |
| Answer» B. 516.2 | |
| 8. |
A solid cuboid has dimensions 14 cm × 18 cm × 24 cm. A hemisphere of radius 3.5 cm is cut from the centre of each face of cuboid. What is the total surface area (in cm2)of the remaining solid? |
| A. | 1902 |
| B. | 1809 |
| C. | 1706 |
| D. | 2271 |
| Answer» E. | |
| 9. |
If the sum of the interior angles of a regular polygon is 540o,then how many sides does it have? |
| A. | 6 |
| B. | 8 |
| C. | 5 |
| D. | 9 |
| Answer» D. 9 | |
| 10. |
Base of a hemisphere, a cylinder and a cone is equal and also the heights are same. The ratio of their volume is - |
| A. | 1 : 2 : 3 |
| B. | 2 : 3 : 1 |
| C. | 3 : 2 : 1 |
| D. | 2 : 1 : 3 |
| Answer» C. 3 : 2 : 1 | |
| 11. |
A cylinder has base radius 7 cm and height 10 cm. What is the volume of a cylinder? |
| A. | 1540 cm3 |
| B. | 770 cm3 |
| C. | 770 π cm3 |
| D. | 1500 cm3 |
| Answer» B. 770 cm3 | |
| 12. |
A hollow cylinder has height 90 cm and the outer curved surface area is 11880 cm2. It can hold 55440 cm3 of air inside it. What is the thickness (in cm) of this cylinder? |
| A. | 10.5 |
| B. | 14 |
| C. | 7 |
| D. | 3.5 |
| Answer» D. 3.5 | |
| 13. |
A hall 10 m long, 2.5 m high and 4 m wide has one door of 1.5 m × 1 m and two windows of 1 m by 0.50 m. The cost of coloring the walls and the ceiling at Rs.12 per sq. m is: |
| A. | Rs. 1190 |
| B. | Rs. 1230 |
| C. | Rs. 1290 |
| D. | Rs. 1330 |
| Answer» D. Rs. 1330 | |
| 14. |
In a circular garden of radius 15 m, a path of 2 m wide has to be made inside the garden at the rate of ₹ 24 per sq. m. The cost of making the path is: (Take π = \(\frac{22}{7}\)) |
| A. | ₹4100 |
| B. | ₹3864 |
| C. | ₹4224 |
| D. | ₹4355 |
| Answer» D. ₹4355 | |
| 15. |
For a sphere of radius 10 cm, the numerical value of surface area is what percent of numerical value of its volume? |
| A. | 40 |
| B. | 25 |
| C. | 12.5 |
| D. | 30 |
| Answer» E. | |
| 16. |
If the perimeter and breadth of a rectangle are in the ratio 6 ∶ 1 and the area of the rectangle is 288 cm2. Find the length of the rectangle. |
| A. | 24 cm |
| B. | 12 cm |
| C. | 10 cm |
| D. | 18 cm |
| Answer» B. 12 cm | |
| 17. |
A 64 cm wide path is made around a circular garden having a diameter of 10 metres. The area (in m2) of the path is closest to: (Take \(\pi = \frac{{22}}{7}\)) |
| A. | 21 |
| B. | 15 |
| C. | 9 |
| D. | 10 |
| Answer» B. 15 | |
| 18. |
A match box measure 3 cm × 4 cm × 5 cm. The volume of a packet containing 12 such boxes |
| A. | 650 cm3 |
| B. | 720 cm3 |
| C. | 600 cm3 |
| D. | 700 cm3 |
| Answer» C. 600 cm3 | |
| 19. |
A godown is in the shape of a cuboid whose length, breadth, and height are 56 m, 42 m, and 10 m respectively. How many (maximum) cuboidal boxes each measuring 2.8 m × 2.5 m × 70 cm can be stored in the godown? |
| A. | 2400 |
| B. | 3600 |
| C. | 4800 |
| D. | 5400 |
| Answer» D. 5400 | |
| 20. |
A right pyramid with square base has side of base 12 cm and height 40 cm. It is kept on its base. It is cut into 4 parts of equal heights by 3 cuts parallel to its base. What is the ratio of volume of the four parts? |
| A. | 1 ∶ 8 ∶ 27 ∶ 70 |
| B. | 1 ∶ 7 ∶ 19 ∶ 47 |
| C. | 1 ∶ 7 ∶ 19 ∶ 37 |
| D. | 1 ∶ 8 ∶ 27 ∶ 64 |
| Answer» D. 1 ∶ 8 ∶ 27 ∶ 64 | |
| 21. |
Find the volume of given container of size 2.5(L) × 2.0 m(B) × 0.5m(D) |
| A. | 5.0 m |
| B. | 2.50 m3 |
| C. | 2.50 m |
| D. | 5.0 m3 |
| Answer» C. 2.50 m | |
| 22. |
A milkman wants to empty a large drum fill of milk with one of the four measuring jars of capacities 6, 9, 15 and 18 litres, respectively. He finds that no matter which jar he uses to empty the drum, 4 litres of milk remains to be emptied. What is the least possible volume of the drum if it is a multiple of 7? |
| A. | 191 litres |
| B. | 364 litres |
| C. | 94 litres |
| D. | 187 litres |
| Answer» C. 94 litres | |
| 23. |
An equilateral triangle ABC is inscribed in a circle as shown in the figure. A square of the largest possible area is made inside this triangle as shown. Another circle made inscribing the square. What is the ratio of the area of the small circle and the large circle? |
| A. | (15 - 12√3) ∶ 1 |
| B. | (63 - 36√3) ∶ 4 |
| C. | (7 - 4√3) ∶ 8 |
| D. | (18 - √3) ∶ 2 |
| Answer» C. (7 - 4√3) ∶ 8 | |
| 24. |
A cow is tied to a peg at one corner of a square shaped grass field of side 25 m. The length of the rope is 14 m long. The area (in m2) of that part of the field in which the cow can graze is: (use π = \(\frac{22}{7}\)) |
| A. | 100 |
| B. | 154 |
| C. | 77 |
| D. | 142 |
| Answer» C. 77 | |
| 25. |
Match List I with List IIList IList IIA. Triangle AreaI. Base × hightB. Square AreaII. ½ × (Product of diagonals)C. Rhombus AreaIII. ½ × Base × HeightD. Parallelogram AreaIV. (Side)2Choose the correct answer from the options given below: |
| A. | A - II, B - IV, C - I, D - III |
| B. | A - III, B - IV, C - II, D - I |
| C. | A - III, B - IV, C - I, D - II |
| D. | A - II, B - III, C - I, D - IV |
| Answer» C. A - III, B - IV, C - I, D - II | |
| 26. |
Consider two rectangular sheets, Sheet M and Sheet N of dimensions 6 cm × 4 cm each.Folding operation 1: The sheet is folded into half by joining the short edges of the current shape.Folding operation 2: The sheet is folded into half by joining the long edges of the current shape.Folding operation 1 is carried out on Sheet M three times.Folding operation 2 is carried out on Sheet N three times.The ratio of perimeters of the final folded shape of Sheet N to the final folded shape of Sheet M is _______. |
| A. | 5 : 13 |
| B. | 7 : 5 |
| C. | 13 : 7 |
| D. | 3 : 2 |
| Answer» D. 3 : 2 | |
| 27. |
How many mashes are there in 1 square meter of wire gauge if each mesh is 8mm long and 5mm wide? |
| A. | 250000 |
| B. | 25000 |
| C. | 2500 |
| D. | 250 |
| Answer» C. 2500 | |
| 28. |
A polygon with n sides will have how many corners? |
| A. | n |
| B. | 4 |
| C. | 5 |
| D. | 1 |
| Answer» B. 4 | |
| 29. |
A hollow cylinder with outer radius 4 cm and height 2 cm is made up of 1 cm thick metal sheet. What is the volume of metal used? (Take π = \(\frac{22}{7}\)) |
| A. | 40 cm3 |
| B. | 56 cm3 |
| C. | 44 cm3 |
| D. | 65 cm3 |
| Answer» D. 65 cm3 | |
| 30. |
During conversion of a solid from one shape to another, the volume of the new shape will- |
| A. | increase |
| B. | decrease |
| C. | remain unaltered |
| D. | be doubled |
| Answer» D. be doubled | |
| 31. |
A hemispherical dome is open from its base and is made of iron. Thickness of dome is 3.5 meter. Total cost of painting domes outer curved surface is Rs 2464. If the rate of painting is Rs 8 per meter2, then what is the volume (in meter3) of iron used in making dome? |
| A. | 656.42 m3 |
| B. | 614.21 m3 |
| C. | 524.46 m3 |
| D. | 628.83 m3 |
| Answer» E. | |
| 32. |
A dealer packed matchboxes in a circular box, while the other packed match boxes in a trapezoid shaped box. Empty space will be ________ in the _________ and hence the capacity of it is __________. |
| A. | less, circular, more |
| B. | less, trapezoid, less |
| C. | more, circular, less |
| D. | more, trapezium, less |
| Answer» D. more, trapezium, less | |
| 33. |
A cylindrical bucket, with a height of 27 cm and a base radius of 48 cm, is filled with sand. When the bucket is emptied to the ground and a conical pile of radius 54 cm is formed. What is the height (in cm) of the pile? |
| A. | 32 |
| B. | 56 |
| C. | 54 |
| D. | 64 |
| Answer» E. | |