MCQOPTIONS
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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.
| 1. |
How many cubes of 25 cm edge can be put in a cubical box of 1 m edge? |
| A. | 4 |
| B. | 16 |
| C. | 32 |
| D. | 64 |
| Answer» E. | |
| 2. |
A solid right circular cone of height 27 cm is cut into pieces along a plane parallel to its base at a height of 18 cm from the base. If the difference in volume of the two pieces is 225 cc, the volume, in cc, of the original cone is |
| A. | 243 |
| B. | 232 |
| C. | 256 |
| D. | 264 |
| Answer» B. 232 | |
| 3. |
A rectangular field of length 242 m has an area of 4840 m2. What will be the cost of fencing if the cost of fencing is 50 paise/meter? |
| A. | Rs 262 |
| B. | Rs 270 |
| C. | Rs 320 |
| D. | Rs 258 |
| Answer» B. Rs 270 | |
| 4. |
If height of a cylinder is 50 cm and radius is 14 cm, what is the volume of it? |
| A. | 33,800 cm3 |
| B. | 30,800 cm3 |
| C. | 32,800 cm3 |
| D. | 31,800 cm3 |
| Answer» C. 32,800 cm3 | |
| 5. |
If the measure of the sides of a cuboid are 8 cm, 6 cm and 10 cm, then the volume (in cm3) of the cuboid is: |
| A. | 840 |
| B. | 480 |
| C. | 540 |
| D. | 680 |
| Answer» C. 540 | |
| 6. |
A and B are two cones. The curved surface area of A is twice that of B. The slant height of B is twice that of A. What is the ratio of radii of A to B? |
| A. | 3 : 2 |
| B. | 1 : 4 |
| C. | 4 : 1 |
| D. | 2 : 1 |
| Answer» D. 2 : 1 | |
| 7. |
Height of a right circular cone is 8 cm. If diameter of its base is 12 cm, then what will be the curved surface area of the cone? |
| A. | 1056/7 cm2 |
| B. | 1320/7 cm2 |
| C. | 1440/7 cm2 |
| D. | 2112/7 cm2 |
| Answer» C. 1440/7 cm2 | |
| 8. |
A semicircle is inscribed inside a rectangle in such a way, so that the diameter of the semicircle coincides with the length of the rectangle. If the area of the semicircle is 50 π, then what is the area of the rectangle? |
| A. | 200 |
| B. | 175 |
| C. | 150 |
| D. | 125 |
| Answer» B. 175 | |
| 9. |
A cloth of 3 m width is used to make a conical tent 12 m in diameter with a slant height of 7 m. What is the length of the cloth? (Take π = 22/7) |
| A. | 21 m |
| B. | 28 m |
| C. | 44 m |
| D. | 66 m |
| Answer» D. 66 m | |
| 10. |
If the area of a square is 16 cm2, then the area of the square obtained by joining the mid-points of its sides in order is - |
| A. | 8 cm2 |
| B. | 10 cm2 |
| C. | 8√2 cm2 |
| D. | 10√2 cm2 |
| Answer» B. 10 cm2 | |
| 11. |
If the sides of an equilateral triangle are increased by 20 %, then by how much percent will the area of the triangle increase? |
| A. | 40% |
| B. | 44% |
| C. | 48% |
| D. | 20% |
| Answer» C. 48% | |
| 12. |
Base of a prism is rectangle. Length and width of the rectange is 14 cm and 5 cm respectively, if the height of the prism is 10 cm, then what will be the total surface area of the prism? |
| A. | 640 cm2 |
| B. | 520 cm2 |
| C. | 720 cm2 |
| D. | 630 cm2 |
| Answer» C. 720 cm2 | |
| 13. |
A square with maximum possible side is drawn in a circle of radius 12 cm. What is the area of square? |
| A. | 288 sq. cm |
| B. | 72 sq. cm |
| C. | 184 sq. cm |
| D. | 276 sq. cm |
| Answer» B. 72 sq. cm | |
| 14. |
If A(15, 14), B(30, 15), C(27, 5) and D(10, 5) are the vertices of a quadrilateral, find the area of the quadrilateral ABCD (in terms of sq. units) |
| A. | 65 |
| B. | 150 |
| C. | 85 |
| D. | 175 |
| Answer» C. 85 | |
| 15. |
A cone has a radius of 20 cm and height 21 cm, then find the total surface area (in cm2) of the cone.\(\left( {{\rm{Take\;\pi }} = \frac{{22}}{7}} \right)\) |
| A. | 3160 |
| B. | 2920 |
| C. | 3080 |
| D. | 3240 |
| Answer» D. 3240 | |
| 16. |
Each side of a square park is 25 m. And there are 2.2, m wide two paths passing its center. Rs. What is the total cost of laying gravel on the paths at a cost of 1.dm2? |
| A. | Rs. 105.16 |
| B. | Rs. 110 |
| C. | Rs. 11,000 |
| D. | Rs. 10,516 |
| Answer» E. | |
| 17. |
If the ratio of the angles of a triangle is 2 : 4 : 3, then what is the sum of the smallest angle of the triangle and the largest angle of the triangle?A. 120°B. 100°C. 140°D. 110° |
| A. | A |
| B. | D |
| C. | B |
| D. | C |
| Answer» B. D | |
| 18. |
A cistern, 8 m long and 5 m wide, contains water up to a depth of 1 m 25 cm. The total area (in m2) of the wet surface is: |
| A. | 72.5 |
| B. | 69 |
| C. | 73.5 |
| D. | 70.5 |
| Answer» B. 69 | |
| 19. |
In the center of square room with sides 10 m, there is a square of turkey carpet and the rest of the floor is covered with oil cloth. The carpet and the oil cloth cost Rs. 15 Rs. 6.50 respectively per square meter and the total cost of the carpet and the oil cloth is 1,338.50. What is the width of the Oil cloth border? |
| A. | 2 meter |
| B. | 1 meter |
| C. | ½ meter |
| D. | 5 meter |
| Answer» D. 5 meter | |
| 20. |
In ΔABC, if AB = AC and ∠BAC = 40°, then the measure of ∠B is: |
| A. | 50° |
| B. | 60° |
| C. | 40° |
| D. | 70° |
| Answer» E. | |
| 21. |
In the given figure, ABCD is a rectangle. F is a point on AB and CE is a perpendicular bisector of DF. If CE = 60cm and DF = 40cm, then what is the area (in cm2) of the rectangle ABCD? |
| A. | 2400 |
| B. | 1200 |
| C. | 600 |
| D. | 3200 |
| Answer» B. 1200 | |
| 22. |
In an equilateral ΔABC, the medians AD, BE and CF intersect to each other at point G. If the area of quadrilateral BDGF is 12 \(\sqrt{3}\) cm2, then the side of ΔABC is: |
| A. | 10 \(\sqrt{3}\) cm |
| B. | 10 cm |
| C. | 12 \(\sqrt{3}\) cm |
| D. | 12 cm |
| Answer» E. | |
| 23. |
Find the number of lead balls, each with a diameter of 3 cm, that can be made from a sphere of diameter 21 cm. |
| A. | 196 |
| B. | 216 |
| C. | 256 |
| D. | 343 |
| Answer» E. | |
| 24. |
If one small square in the grid is of area 4 sq. units, what is the perimeter of the rectangle drawn on the grid? |
| A. | 32 units |
| B. | 8 units |
| C. | 24 units |
| D. | 12 units |
| Answer» D. 12 units | |
| 25. |
In the given figure \(\overline {PQ} \), \(\overline {QR} \) and \(\overline {RP} \) each is divided into 3 equal parts. If each small part is of length 2 cm, then what is the area of the shaded region in sq. cm? |
| A. | 2√3 |
| B. | 4√3 |
| C. | 6√3 |
| D. | 8√3 |
| Answer» D. 8√3 | |
| 26. |
In ΔABC, D and E are the points on sides AC and AB, respectively, such that ∠ADE = ∠B. If AD = 7.6 cm, AE = 7.2 cm, BE = 4.2 cm and BC = 8.4 cm, then DE is equal to: |
| A. | 5.6 cm |
| B. | 6.3 cm |
| C. | 7.4 cm |
| D. | 5.8 cm |
| Answer» B. 6.3 cm | |
| 27. |
A rectangular sheet of paper 88 cm × 10 cm is folded without overlapping to make a cylinder of height 10 cm. What is the capacity (in litres) of the cylinder? \(\left(\rm Take \ \pi = \dfrac{22}{7}\right)\) |
| A. | 7.392 |
| B. | 8.624 |
| C. | 5.54 |
| D. | 6.16 |
| Answer» E. | |
| 28. |
A right triangular prism has equilateral triangle as its base. Side of the triangle is 15 cm. Height of the prism is 20√3 cm. What is the volume (in cm3) of the prism? |
| A. | 1125 |
| B. | 6750 |
| C. | 4500 |
| D. | 3375 |
| Answer» E. | |
| 29. |
A spherical glass vessel has a cylindrical neck 7 cm long and 4 cm in diameter. The diameter of the spherical part is 21 cm. Find the quantity of water it can hold. |
| A. | 4932 cm3 |
| B. | 4930 cm3 |
| C. | 4929 cm3 |
| D. | 4939 cm3 |
| Answer» E. | |
| 30. |
If the perimeter of a circular plot is equal to the perimeter of a square plot, then the ratio of their respective areas is: |
| A. | 6 : 11 |
| B. | 7 : 11 |
| C. | 12 : 11 |
| D. | 14 : 11 |
| Answer» E. | |
| 31. |
If the length and breadth of a rectangle are increased by 8% and 12% respectively, then by what percent does the area of that rectangle increase? |
| A. | 22% |
| B. | 24% |
| C. | 20% |
| D. | 20.96% |
| Answer» E. | |
| 32. |
If the edge of a cube be 7 cm, then the volume of the cube is: |
| A. | 321 cm3 |
| B. | 343 cm3 |
| C. | 433 cm3 |
| D. | 243 cm3 |
| Answer» C. 433 cm3 | |
| 33. |
A circle and a square have the same perimeter. Which one of the following is correct? |
| A. | Their area are equal |
| B. | The area of the circle is larger |
| C. | The area of the square is π/2 times area of circle |
| D. | The area of the square if π times area of circle |
| Answer» C. The area of the square is π/2 times area of circle | |
| 34. |
Circular areas of same size have been marked to drill holes in a road. If the radius of one of the holes to be drilled is 21cm, and there are 10 holes to be drilled along the road, what is the total area in sq.cm of all the 10 circles marked to be drilled? (π = 22 / 7) |
| A. | 13860 |
| B. | 1836 |
| C. | 1386 |
| D. | 11836 |
| Answer» B. 1836 | |
| 35. |
Each side of a rectangular field is increased by 10%. Then percentage increase in the area of the field is: |
| A. | 21% |
| B. | 10% |
| C. | 18% |
| D. | 15% |
| Answer» B. 10% | |
| 36. |
If the length of a rectangle is increased by 25%, then by how much percent breadth should be reduced so that the area remains the same? |
| A. | 15 |
| B. | 20 |
| C. | 12.5 |
| D. | 25 |
| Answer» C. 12.5 | |
| 37. |
If the diameter of the base of a cone is 42 cm and its curved surface area is 2310 cm2, then what will be its volume (in cm3) |
| A. | 38808 |
| B. | 19404 |
| C. | 12936 |
| D. | 25872 |
| Answer» D. 25872 | |
| 38. |
In a triangle ΔABC AB = 16 cm, BC = 63 cm, and AC = 65 cm then triangle will be |
| A. | Obtuse angle triangle |
| B. | Right angled Triangle |
| C. | Acute angel Triangle |
| D. | Equilateral Triangle |
| Answer» C. Acute angel Triangle | |
| 39. |
If radius of a circle is increased in such a way that its circumference increases by 10%. Area of circle will be increased by |
| A. | 10% |
| B. | 12% |
| C. | 21% |
| D. | 24% |
| Answer» D. 24% | |
| 40. |
A solid metallic sphere of radius x cm is melted and then drawn into 126 cones each of radius 3.5 cm and height 3 cm. There is no wastage of material in this process. What is the value of x? |
| A. | 7 |
| B. | 3.5 |
| C. | 21 |
| D. | 10.5 |
| E. | none of these |
| Answer» E. none of these | |
| 41. |
A cube of diagonal 21√3 is melted and cast into a cuboid. The length of the cuboid is the same as the side of the cube, the width of the cuboid is 10.5 cm, what is the height of the cuboid? (in cm) |
| A. | 42 |
| B. | 45 |
| C. | 44 |
| D. | 43 |
| Answer» B. 45 | |
| 42. |
In ∆ABC, if the ratio of angles is in the proportion 3 : 5 : 4, then the difference between the biggest and the smallest angles (in degrees) is: |
| A. | 35° |
| B. | 25° |
| C. | 20° |
| D. | 30° |
| Answer» E. | |
| 43. |
If the diameter of a sphere is 14 cm, then what is the curved surface area (in cm2) of the sphere? |
| A. | 616 |
| B. | 1232 |
| C. | 2464 |
| D. | 576 |
| Answer» B. 1232 | |
| 44. |
Out of 4 identical balls of radius r, 3 balls are placed on a plane such that each ball touches the other two balls. The 4th ball is placed on them such that this ball touches all the three balls. What is the distance of centre of 4th ball from the plane? |
| A. | \(2\sqrt {\frac{2}{3}} r\) unit |
| B. | \(\frac{{\sqrt 3 + 2\sqrt 2 }}{{\sqrt 2 }}\) unit |
| C. | \(\frac{r}{{3 - 2\sqrt 2 }}\) unit |
| D. | \(\frac{{\sqrt 3 + 2\sqrt 2 }}{{\sqrt 3 }}r\) unit |
| Answer» E. | |
| 45. |
A 9 cm solid metallic cube and a solid metallic cuboid having dimensions 5 cm, 13 cm, 31 cm are melted and recast into a single cube. What is the total surface area (in cm2) of the new cube? |
| A. | 1362 |
| B. | 865 |
| C. | 2744 |
| D. | 1176 |
| Answer» E. | |
| 46. |
A cylindrical overhead tank of radius 2 m and height 7 m is to be filled from an underground tank of size 5.5 m × 4 m × 6 m. How much portion of the underground tank is still filled water after filling the overhead tank completely? |
| A. | 1/3 |
| B. | 1/2 |
| C. | 1/4 |
| D. | 1/6 |
| Answer» B. 1/2 | |
| 47. |
If the length of a side of an equilateral triangle is 6 cm, then its height is: |
| A. | \(3\sqrt{3} \ cm\) |
| B. | \(9\sqrt{3} \ cm\) |
| C. | 3 cm |
| D. | \(5\sqrt{3} \ cm\) |
| Answer» B. \(9\sqrt{3} \ cm\) | |
| 48. |
Find the area of the shaded region in given fig. i.e. area lying inside the square of side 14.cm and outside the circles. |
| A. | 42 cm2 |
| B. | 20cm2 |
| C. | 32cm2 |
| D. | none of these |
| Answer» B. 20cm2 | |
| 49. |
A triangle of maximum area inscribed in a circle of radius r: |
| A. | Does not exist |
| B. | Is an isosceles triangle of height r |
| C. | Is a right angle triangle with hypotenuse measuring 2r |
| D. | Is an equilateral triangle |
| Answer» E. | |
| 50. |
A circle and a square have same area. Therefore, the ratio of the side of the square and the radius of the circle is |
| A. | \(\sqrt{\pi} : 1\) |
| B. | \(1 : \sqrt{\pi}\) |
| C. | 1 : π |
| D. | π : 1 |
| Answer» B. \(1 : \sqrt{\pi}\) | |