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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.
| 651. |
Find the area of a circle whose circumference is equal to the circumference of a square with an area of 121 square cm. |
| A. | 220 square cm |
| B. | 110 square cm |
| C. | 154 square cm |
| D. | 77 square cm |
| Answer» D. 77 square cm | |
| 652. |
A swimming pool is 40 m in length, 30 m in breadth and 2.2 m in depth. The cost of cementing its floor and the four sides at Rs. 25/m2 is∶ |
| A. | Rs. 43, 980 |
| B. | Rs. 37, 540 |
| C. | Rs. 34, 260 |
| D. | Rs. 37, 700 |
| Answer» E. | |
| 653. |
A circle circumscribes a rectangle whose sides are in the ratio 4 : 3. If the perimeter of the rectangle is 56 cm, then what is the area (in cm2) of the circle? |
| A. | 96 π |
| B. | 100 π |
| C. | 70 π |
| D. | 90 π |
| Answer» C. 70 π | |
| 654. |
A cylinder and a cone, whose radius of the base are r1 and r2 (r1 > r2) respectively, have uniform mass, and equal heights. The force exerted by the cylinder will be ______. |
| A. | More than cone |
| B. | Zero |
| C. | Less than cone |
| D. | Equal to cone |
| Answer» B. Zero | |
| 655. |
A circular park with a radius of 14 m is built inside a rectangular ground with dimensions of 30 m × 40 m. Excluding Circular Park, To be revived at the rate of 10 per m2. Find the cost of revival. (Suppose π = 22/7) |
| A. | 8450 |
| B. | 5480 |
| C. | 5840 |
| D. | 4580 |
| Answer» D. 4580 | |
| 656. |
Find the cost of fencing a circular field of radius 35 m, if the cost of fencing per metre is Rs. 24. |
| A. | Rs. 5280 |
| B. | Rs. 840 |
| C. | Rs. 3850 |
| D. | RS. 1925 |
| Answer» B. Rs. 840 | |
| 657. |
A swimming pool is 40 m long and 18 m wide. Its shallow and deep ends are 0.7 m and 3.55 m respectively. If the bottom of pool slopes uniformly, then the amount of water required to fill the pool is: |
| A. | 1,480 m3 |
| B. | 1,530 m3 |
| C. | 1,575 m3 |
| D. | 1,680 m3 |
| Answer» C. 1,575 m3 | |
| 658. |
∆ABC is right angled at B. BD is an altitude. If AD = 50 cm and DC = 8 cm, what is the value of BD (in cm)? |
| A. | 25 |
| B. | 16 |
| C. | 20 |
| D. | 42 |
| Answer» D. 42 | |
| 659. |
A cylindrical vessel of base radius 20 cm filled up to a height of 32 cm with juice. The juice is filled in cylindrical glass of radius 4 cm upto a height of 8 cm. How many such glasses can be filled ? |
| A. | 20 |
| B. | 50 |
| C. | 100 |
| D. | 120 |
| Answer» D. 120 | |
| 660. |
A solid metallic sphere of radius 4.2 cm is melted and recast into a right circular cylinder of radius 6 cm. What is the height (in cm) of the cylinder (correct to one decimal place)? |
| A. | 1.8 |
| B. | 2.1 |
| C. | 3 |
| D. | 2.7 |
| Answer» E. | |
| 661. |
Given the sides of a triangle as 3.4 cm and 5.2 cm, what can be length of the third side (x) in cm? |
| A. | 1.8 < x < 8.6 |
| B. | > 8.6 |
| C. | < 1.8 |
| D. | 3.4 < x < 5.2 |
| Answer» B. > 8.6 | |
| 662. |
A hall with dimensions 25 metres long and 15 metres broad is surrounded by a path of uniform width of 3.5 metres. Find the cost of flooring the path at the rate of Rs. 25.50 per square metre. |
| A. | Rs. 8146.50 |
| B. | Rs. 4186.50 |
| C. | Rs. 8389.5 |
| D. | Rs. 9149.50 |
| Answer» D. Rs. 9149.50 | |
| 663. |
If the radius of a sphere is decreased by 25%, then the percentage decrease in its surface area is: |
| A. | 42 |
| B. | 43.75 |
| C. | 37.5 |
| D. | 40 |
| Answer» C. 37.5 | |
| 664. |
Area of the circle inscribed in a square of side 1 cm is |
| A. | \(\frac{\pi }{2}\) cm2 |
| B. | \(\frac{\pi }{4}\) cm2 |
| C. | π cm2 |
| D. | 2π cm2 |
| Answer» C. π cm2 | |
| 665. |
In ΔABC, If AB = 7 cm and AC = 25 cm, then the length of BC is equal to: |
| A. | 24 cm |
| B. | 32 cm |
| C. | 26 cm |
| D. | 12 cm |
| Answer» B. 32 cm | |
| 666. |
A solid metallic cuboid of dimensions 18 cm × 36 cm × 72 cm is melted and recast into 8 cubes of the same volume. What is the ratio of the total surface area of the cuboid to the sum of the lateral surface areas of all 8 cubes? |
| A. | 2 : 3 |
| B. | 7 : 12 |
| C. | 4 : 7 |
| D. | 7 : 8 |
| Answer» E. | |
| 667. |
AD is the median of a triangle ABC and O is the centroid such that AO = 10 cm. The length of OD (in cm) is - |
| A. | 4 cm |
| B. | 5 cm |
| C. | 6 cm |
| D. | 8 cm |
| Answer» C. 6 cm | |
| 668. |
If A, B and C are three points on a circle, where BC is the diameter and AC = AB = 5√2 cm. Find the radius of the circle. |
| A. | 6 cm |
| B. | 5 cm |
| C. | 5/√2 cm |
| D. | 4 cm |
| Answer» C. 5/√2 cm | |
| 669. |
If the diagonals of a rhombus are x and y, then what is its area? |
| A. | \(\frac{{xy}}{2}\) |
| B. | \(\frac{{xy}}{4}\) |
| C. | xy |
| D. | x2 – y2 |
| Answer» B. \(\frac{{xy}}{4}\) | |
| 670. |
Each side of the cube is 8 cm, Total how many cubes will be formed by the 2 cm sides from it? |
| A. | 16 |
| B. | 32 |
| C. | 64 |
| D. | 96 |
| Answer» D. 96 | |
| 671. |
How many spherical balls each of 2 cm radius can be made out of a solid metallic cube of edge 44 cm?(Take π = 22/7) |
| A. | 2420 |
| B. | 2532 |
| C. | 2448 |
| D. | 2541 |
| Answer» E. | |
| 672. |
Consider the rectangle ABCD with \(DE = \frac{1}{3}\;DC\) in the figure:When the area of the triangle ADE is 20 cm2, the area of the rectangle ABCD will be |
| A. | 60 cm2 |
| B. | 80 cm2 |
| C. | 100 cm2 |
| D. | 120 cm2 |
| Answer» E. | |
| 673. |
A path of 2.5 m width surrounds a rectangular garden of length 10 and breadth 8 m. Area of the garden, inclusive of the path is |
| A. | 130.25 sq.m |
| B. | 131.25 sq.m |
| C. | 195.00 sq.m |
| D. | 162.50 sq.m |
| Answer» D. 162.50 sq.m | |
| 674. |
A rectangular parking space is marked out by painting three of its sides. If the length of the unpainted side is 9 ft, and the sum of the lengths of the painted sides is 37 ft, then what is the area of the parking space in square feet? |
| A. | 126 ft² |
| B. | 81 ft² |
| C. | 252 ft² |
| D. | 46 ft² |
| Answer» B. 81 ft² | |
| 675. |
If ABC is an arc of a circle and ∠ABC = 135°, then the ratio of arc ABC to the circumference is: |
| A. | 3 : 4 |
| B. | 1 : 2 |
| C. | 1 : 8 |
| D. | 1 : 4 |
| Answer» E. | |
| 676. |
A cone and a sphere have equal radii and equal volumes. Find the ratio of the diameter of the sphere to the height of the cone. |
| A. | 1 : 2 |
| B. | 2 : 3 |
| C. | 3 : 4 |
| D. | 4 : 5 |
| Answer» B. 2 : 3 | |
| 677. |
In the given figure, PQRS is a square of side 8 cm. ∠PQO = 60°. What is the area (in cm2) of the triangle POQ? (where O is the point of intersection of OQ and PR). |
| A. | 32√3 |
| B. | 24[(√3) – 1] |
| C. | 48[(√3) – 1] |
| D. | 16[3 – (√3)] |
| Answer» E. | |
| 678. |
If area of rectangle is equal to area of square of side 12 cm. If length of the rectangle is 16 cm, then its perimeter is: |
| A. | 48 cm |
| B. | 100 cm |
| C. | 64 cm |
| D. | 50 cm |
| Answer» E. | |
| 679. |
Length and breadth of rectangular field are in the ratio 5 ∶ 2. If the perimeter of the field is 238 m. Find the length of the field. |
| A. | 83 m |
| B. | 82 m |
| C. | 84 m |
| D. | 85 m |
| Answer» E. | |
| 680. |
A copper wire is bent in the form of a square with an area of 121 cm2. If the same wire is bent in the form of a circle, the radius (in cm) of the circle is (Take, π = 22/7 ) : |
| A. | 8 |
| B. | 7 |
| C. | 12 |
| D. | 14 |
| Answer» C. 12 | |
| 681. |
If a solid metallic hemi-sphere of radius 8 cm is melted and recast into x spheres of radius 2 cm each, then x is equal to: |
| A. | 4 |
| B. | 8 |
| C. | 16 |
| D. | 32 |
| Answer» E. | |
| 682. |
ABCD is a rhombus with each side being equal to 8 cm. If BD = 10 cm, AC = 2√x cm, what is the value of x + 1? |
| A. | 35 |
| B. | 40 |
| C. | 23 |
| D. | 32 |
| Answer» C. 23 | |
| 683. |
If the angles of a triangle are 30° and 45° and the included side is \(\left( {\sqrt 3 + 1} \right)cm\), then what is the area of the triangle? |
| A. | \(\left( {\sqrt 3 + 1} \right)\;c{m^2}\) |
| B. | \(\left( {\sqrt 3 + 3} \right)\;c{m^2}\) |
| C. | \(\frac{1}{2}\left( {\sqrt 3 + 1} \right)\;c{m^2}\) |
| D. | \(2\left( {\sqrt 3 + 1} \right)\;c{m^2}\) |
| Answer» D. \(2\left( {\sqrt 3 + 1} \right)\;c{m^2}\) | |
| 684. |
If the surface area of a sphere is numerically equal to its volume, then the surface area of that sphere (in square units) is: |
| A. | 28π |
| B. | 144π |
| C. | 36π |
| D. | 972π |
| Answer» D. 972π | |
| 685. |
A prism has a square base whose side is 8 cm. The height of the prism is 80 cm. The prism is cut into 10 identical parts by 9 cuts which are parallel to the base of the prism. What is the total surface area (in cm2) of all the 10 parts together? |
| A. | 4260 |
| B. | 2560 |
| C. | 3840 |
| D. | 3220 |
| Answer» D. 3220 | |
| 686. |
A cow is tied to a peg at one corner of a square shaped grass field of side 20.5 m. The length of the rope is 10.5 m. What is the area (in m2) of the field in which the cow CANNOT graze? \(\left( {\text{Use} \ \pi = \frac{{22}}{7}} \right)\) |
| A. | 333.625 |
| B. | 350 |
| C. | 86.625 |
| D. | 175 |
| Answer» B. 350 | |
| 687. |
Find the least number of square tiles required to completely pave the floor of a room of 15 m 17 cm long and 9 m 2 cm broad. |
| A. | 824 |
| B. | 784 |
| C. | 764 |
| D. | 814 |
| Answer» E. | |
| 688. |
One side of a rhombus is 13 cm and one of its diagonals is 10 cm. What is the area of the rhombus (in cm2)? |
| A. | 90 |
| B. | 60 |
| C. | 120 |
| D. | 30 |
| Answer» D. 30 | |
| 689. |
If the diagonal of a cube is \(\sqrt{27}\) cm, then its volume is: |
| A. | 27 cm3 |
| B. | 32 cm3 |
| C. | 30 cm3 |
| D. | 25 cm3 |
| Answer» B. 32 cm3 | |
| 690. |
hemisphere depression is cut out from one face of the cubical wooden block such that the radius r of the hemisphere is equal to half of the edge of the cube. What will be the surface area of the remaining solid? |
| A. | 2r2 (π + 24) |
| B. | r2 (π + 24) |
| C. | 2r2 (π + 36) |
| D. | r2 (π + 36) |
| Answer» C. 2r2 (π + 36) | |
| 691. |
A ball of radius 1 cm is put into a cylindrical pipe so that it fits inside the pipe. If the length of the pipe is 14 m, what is the surface area of the pipe? |
| A. | 2200 square cm |
| B. | 4400 square cm |
| C. | 8800 square cm |
| D. | 17600 square cm |
| Answer» D. 17600 square cm | |
| 692. |
In the given fig, if BC = 12 cm, AC = 8 cm and AB = 10 cm, then BE = |
| A. | 7 cm |
| B. | 6 cm |
| C. | 4 cm |
| D. | 5 cm |
| Answer» B. 6 cm | |
| 693. |
A 42 cm long hollow cylinder has an outer diameter of 16 cm and an internal diameter of 12 cm. If the weight of the cylinder's material is 10 g/cm3, what is the weight of the hollow or empty cylinder? (π = 22/7) |
| A. | 32.960 kg |
| B. | 36960 kg |
| C. | 36.960 kg |
| D. | 32960 kg |
| Answer» D. 32960 kg | |
| 694. |
If length of each side of a rhombus ABCD is 16 cm and ∠ABC = 120°, then what is the length (in cm) of BD? |
| A. | 24 |
| B. | 12 |
| C. | 16 |
| D. | 14√3 |
| Answer» D. 14√3 | |
| 695. |
If the radius of the cylinder is increased by 25%, then by how much percent the height must be reduced, so that the volume of the cylinder remains same? |
| A. | 36 |
| B. | 56 |
| C. | 64 |
| D. | 46 |
| Answer» B. 56 | |
| 696. |
A metallic solid spherical ball of radius 3 cm is melted and recast into three spherical balls. The radii of two of these balls are 2 cm and 1.5 cm. What is the surface area (in cm2) of the third ball? |
| A. | \(\frac{25}{2} \pi\) |
| B. | 50 π |
| C. | \(\frac{25}{4} \pi\) |
| D. | 25 π |
| Answer» E. | |
| 697. |
A cylindrical vessel of diameter 24 cm is filled with sufficient quantity of water. The water level increases by _______ cm when a solid spherical ball of radius _______ cm is completely immersed into it.Which of the following options satisfies the two blanks in the question?A. 3, 18B. 2, 6C. 16, 12D. 8, 16E. 6.75, 9 |
| A. | Only C |
| B. | Only E |
| C. | Only D |
| D. | B , C and E |
| E. | Both A and E |
| Answer» E. Both A and E | |
| 698. |
If the length of a rectangle is decreased by 20% and breadth is decreased by 40%, then what will be the percentage decrease in the area of the rectangle? |
| A. | 48 |
| B. | 52 |
| C. | 60 |
| D. | 40 |
| Answer» C. 60 | |
| 699. |
A cone of radius 7 cm and height 12 cm is completely filled with water. This water is emptied into an empty cylindrical vessel of radius 3.5 cm. What will be the height of water in this vessel? |
| A. | 16 cm |
| B. | 32 cm |
| C. | 5.33 cm |
| D. | 8 cm |
| Answer» B. 32 cm | |
| 700. |
Find the volume of a circular cylinder whose height is 15 cm and radius of the base is 7 cm? |
| A. | 2510 cm3 |
| B. | 2310 cm3 |
| C. | 2410 cm3 |
| D. | 2210 cm3 |
| Answer» C. 2410 cm3 | |