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.
| 851. |
A water tank is 15 meter long, 10 meter wide and 3 meter deep. The total cost to repair its four walls and bottom at the rate of 24 rupees per square meter is: |
| A. | Rs. 9600 |
| B. | Rs. 4800 |
| C. | Rs. 3600 |
| D. | Rs. 7200 |
| Answer» E. | |
| 852. |
How many square metres of canvas are used? |
| A. | 14450 |
| B. | 14480 |
| C. | 14580 |
| D. | 14850 |
| Answer» E. | |
| 853. |
If the volume of a cube is 1728 cm3, then what is the total surface area (in cm2) of the cube? |
| A. | 144 |
| B. | 288 |
| C. | 276 |
| D. | 864 |
| Answer» E. | |
| 854. |
A circle of diameter 8 cm is placed in such a manner that it touches two perpendicular lines. Then another smaller circle is placed in the gap such that it touches the lines and the circle. What is the diameter of the smaller circle? |
| A. | 4(3 - √2) cm |
| B. | 4(3 - 2√2) cm |
| C. | 8(3 - √2) cm |
| D. | 8(3 - 2√2) cm |
| Answer» E. | |
| 855. |
A cylindrical roller made or iron is 1.2 m long. Its internal radius is 24 cm and thickness of the iron sheet used in making the roller is 15 cm. What is the mass (in kg) of the roller, if 1 cm3 of iron has 8 g mass? |
| A. | 892.8 π |
| B. | 907.2 π |
| C. | 846.72 π |
| D. | 845.75 π |
| Answer» C. 846.72 π | |
| 856. |
In the figure given below, ABC is a right-angled triangle where ∠ A = 90°, AB = p cm and AC = q cm. On the three sides as diameters semicircles are drawn as shown in the figure. The area of the shaded portion, in square cm, is |
| A. | pq |
| B. | π (p2 + q2) /2 |
| C. | π (p2 + q2) |
| D. | pq/2 |
| Answer» E. | |
| 857. |
In ΔPQR, ∠Q = 84°, ∠R = 48°, PS ⊥ QR at S and the bisector of ∠P meets QR at T. What is the measure of ∠SPT? |
| A. | 24° |
| B. | 21° |
| C. | 12° |
| D. | 18° |
| Answer» E. | |
| 858. |
In two square fields, the area of one is 1 hectare, while the other is broader by 5%. The difference in their areas is: |
| A. | 1250 m2 |
| B. | 1050 m2 |
| C. | 925 m2 |
| D. | 1025 m2 |
| Answer» E. | |
| 859. |
In a circle with center O, AB is the diameter and CD is a chord such that ABCD is a trapezium. If ∠BAC = 18°, then ∠CAD is equal to: |
| A. | 54° |
| B. | 18° |
| C. | 36° |
| D. | 72° |
| Answer» B. 18° | |
| 860. |
Express the radius of a circle with diameter (4l + 2). |
| A. | (4l + 2) × 2 |
| B. | (4l + 2) × 4 |
| C. | \(\frac{{4l + \;2}}{4}\) |
| D. | \(\frac{{4l + \;2}}{2}\) |
| Answer» E. | |
| 861. |
Each side of a square field measures 10 m. Find the perimeter of the field? |
| A. | 40 m |
| B. | 80 m |
| C. | 20 m |
| D. | 100 m |
| Answer» B. 80 m | |
| 862. |
Find the weight of a solid cylinder of height 35 cm and radius 14 cm, if the material of the cylinder weighs 8 gm/cm3. |
| A. | 172.48 kg |
| B. | 160 kg |
| C. | 177.44 kg |
| D. | 166 kg |
| Answer» B. 160 kg | |
| 863. |
If the area of a circle is 154 square cm, then the ratio of circumferences of this circle to that of the other circle, whose radius is 21 cm, is: |
| A. | 1 : 2 |
| B. | 2 : 3 |
| C. | 2 : 1 |
| D. | 1 : 3 |
| Answer» E. | |
| 864. |
If the perimeter of a semicircle is 72 cm, then find its area (in cm²). |
| A. | 308 |
| B. | 616 |
| C. | 160 |
| D. | 320 |
| Answer» B. 616 | |
| 865. |
Area of the circle inscribed in a square of side 'a' cm is |
| A. | a2 cm2 |
| B. | \(\dfrac{a^2}{4}\:cm^2\) |
| C. | \(\dfrac{\pi a^2}{4}\:cm^2\) |
| D. | \(\dfrac{\pi a^2}{2}\:cm^2\) |
| Answer» D. \(\dfrac{\pi a^2}{2}\:cm^2\) | |
| 866. |
If the heights of two triangles are in the ratio 3 : 2 and their bases are in the ratio 2 : 5, then what is the ratio of the areas of the two triangles? |
| A. | 3 : 2 |
| B. | 3 : 4 |
| C. | 15 : 4 |
| D. | 3 : 5 |
| Answer» E. | |
| 867. |
In the given figure, area of isosceles triangle ABE is 72cm2 and BE = AB and AB = 2 AD, AE || DC, then what is the area (in cm2) of the trapezium ABCD? |
| A. | 108 |
| B. | 124 |
| C. | 136 |
| D. | 144 |
| Answer» E. | |
| 868. |
Area of the circle inscribed in a square of side √2 cm is |
| A. | \(\dfrac{1}{2} cm^2\) |
| B. | \(\dfrac{\pi}{\sqrt 2} cm^2\) |
| C. | \(\dfrac{\pi}{4} cm^2\) |
| D. | \(\dfrac{\pi}{2} cm^2\) |
| Answer» E. | |
| 869. |
A rectangular paper is 44 cm long and 22 cm wide. Let x be the volume of the largest cylinder formed by rolling the paper along its length and y be the volume of the largest cylinder formed by rolling the paper along its width. What is the ratio of x to y? (Take π = 22/7) |
| A. | 1 ∶ 1 |
| B. | 2 ∶ 1 |
| C. | 1 ∶ 2 |
| D. | 3 ∶ 2 |
| Answer» C. 1 ∶ 2 | |
| 870. |
A cylindrical road roller made of metal is one meter long. Its inner radius is 27 cm and the thickness of the metal sheet rolled into it is 9 cm. What is the weight of the roller, if 1 cm3 of the metal weight 8 g? |
| A. | 453.6π kg |
| B. | 442.4π kg |
| C. | 449π kg |
| D. | 441π kg |
| Answer» B. 442.4π kg | |
| 871. |
If the ratio of the diameter of two right circular cones of equal height be 3 ∶ 4, then the ratio of their volume will be |
| A. | 3 ∶ 4 |
| B. | 9 ∶ 16 |
| C. | 16 ∶ 9 |
| D. | 27 ∶ 64 |
| Answer» C. 16 ∶ 9 | |
| 872. |
Ice-cream, completely filled in a cylinder of diameter 35 cm and height 32 cm, is to be served by completely filling identical disposable cones of diameter 4 cm and height 7 cm. The maximum number of persons that can be served in this way is |
| A. | 950 |
| B. | 1000 |
| C. | 1050 |
| D. | 1100 |
| Answer» D. 1100 | |
| 873. |
A metallic sphere of radius 2.1 cm is melted and reset into sphere ball of half radius of origin sphere. How many such spherical balls can be made? |
| A. | 2 |
| B. | 4 |
| C. | 6 |
| D. | 8 |
| Answer» E. | |
| 874. |
In the given figure, PM is one-third of PQ and PN is one-third of PS. If the area of PMRN is 17cm2, then what is the area (in cm2) of rectangle PQRS? |
| A. | 34 |
| B. | 51 |
| C. | 68 |
| D. | 85 |
| Answer» C. 68 | |
| 875. |
Find the area of the sector formed by an arc that subtends an angle of 60 degree at the center of a circle of diameter 14 cm. |
| A. | \(25 \dfrac{2}{3} \ cm\) |
| B. | \(25 \dfrac{2}{3} \ m\) |
| C. | \(25 \dfrac{2}{3} \ sq\ cm\) |
| D. | \(25 \dfrac{2}{3} \ sq\ m\) |
| Answer» D. \(25 \dfrac{2}{3} \ sq\ m\) | |
| 876. |
A right angled tringle having hypotenuses 25 cm and sides are in the ratio 3 : 4 is made revolve about its hypotenuse. The volume of the double cone so formed is |
| A. | 1000π cm3 |
| B. | 1250π cm3 |
| C. | 1500π cm3 |
| D. | 1575π cm3 |
| Answer» C. 1500π cm3 | |
| 877. |
If the area of a semi-circle is 693 cm2, then find its radius (in cm). |
| A. | 42 |
| B. | 27 |
| C. | 21 |
| D. | 54 |
| Answer» D. 54 | |
| 878. |
From a solid cube of side 7 cm, a conical cavity of height 7 cm and radius 3 cm is hollowed out. Find the volume of remaining solid. |
| A. | 277 cm3 |
| B. | 272 cm3 |
| C. | 270 cm3 |
| D. | 300 cm3 |
| Answer» B. 272 cm3 | |
| 879. |
A medicine-capsule is in the shape of a cylinder of diameter 0.5 cm with two hemispheres stuck to each of its ends. The length of entire capsule is 2 cm. The capacity of the capsule is |
| A. | 0.36 cm3 |
| B. | 0.35 cm3 |
| C. | 0.34 cm3 |
| D. | 0.33 cm3 |
| Answer» B. 0.35 cm3 | |
| 880. |
Let PQRS be the diameter of a circle of radius 9 cm. The length PQ, QR and RS are equal. Semi-circle is drawn with QS as diameter (as shown in the given figure). What is the ratio of the shaded region to that of the unshaded region? |
| A. | 25 : 121 |
| B. | 5 : 13 |
| C. | 5 : 18 |
| D. | 1 : 2 |
| Answer» C. 5 : 18 | |
| 881. |
A ball of diameter 4 cm is kept on top of a hollow cylinder standing vertically. The height of the cylinder is 3 cm, while its volume is 9 π cm3 . Then the vertical distance, in cm, of the topmost point of the ball from the base of the cylinder is |
| A. | 6 |
| B. | 8 |
| C. | 10 |
| D. | 12 |
| Answer» B. 8 | |
| 882. |
A cylindrical rod whose height is 8 times of its radius is melted and recasted into spherical balls of same radius. The number of balls will be: |
| A. | 2 |
| B. | 8 |
| C. | 4 |
| D. | 6 |
| Answer» E. | |
| 883. |
In a circle with centre O. AB is the diameter and CD is a chord such that ABCD is a trapezium. If ∠BAC = 25°, then ∠CAD is equal to∶ |
| A. | 40° |
| B. | 65° |
| C. | 25° |
| D. | 45° |
| Answer» B. 65° | |
| 884. |
A paper in the form of a rectangle is cut diagonally to form two triangles. If the diagonal measures 4√5 cm and the length is twice the breadth, the area of the rectangle is: |
| A. | 54 cm2 |
| B. | 32 cm2 |
| C. | 72 cm2 |
| D. | 80 cm2 |
| Answer» C. 72 cm2 | |
| 885. |
If the radius of a sphere is increased by 4 cm, its surface area is increased by 464 π cm2 What is the volume (in cm3) of the original sphere? |
| A. | 35937π/8 |
| B. | 15625π/6 |
| C. | 15625π/8 |
| D. | 11979π/2 |
| Answer» C. 15625π/8 | |
| 886. |
A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road? |
| A. | 2.91 m |
| B. | 3 m |
| C. | 5.82 m |
| D. | None of these |
| Answer» C. 5.82 m | |
| 887. |
A circle is inscribed in an equilateral triangle of side 24 cm. What is the area (in cm2) of a square inscribed in the circle? |
| A. | 48 |
| B. | 72 |
| C. | 96 |
| D. | 54 |
| Answer» D. 54 | |
| 888. |
If the area of the square is increased by 69% the side of the square increases by |
| A. | 13 |
| B. | 30 |
| C. | 39 |
| D. | 130 |
| Answer» C. 39 | |
| 889. |
In ∆ABC, a line parallel to side BC cuts the side AB and AC at points D and E respectively and also point D divide AB in the ratio of 1 : 4. If area of ∆ABC is 200 cm2 ,what is the area of quadrilateral DECB? |
| A. | 192 |
| B. | 50 |
| C. | 120 |
| D. | 96 |
| Answer» B. 50 | |
| 890. |
A wheel covers a distance of 1,100 cm in one round. The diameter of the wheel is: |
| A. | 125 cm |
| B. | 100 cm |
| C. | 350 cm |
| D. | 150 cm |
| Answer» D. 150 cm | |
| 891. |
If two cubes made of iron, each of side 10 mm are dropped in tumbler containing 200 c.c. of water, what will be the net volume (in ml) of the contents of the tumbler? |
| A. | 200002 |
| B. | 200001 |
| C. | 202 |
| D. | 201 |
| Answer» D. 201 | |
| 892. |
A wire in the form of a square encloses an area of 144 cm2. How much area is enclosed if the same wire is bent in the form of a rectangle of length 16 cm? |
| A. | 48 cm2 |
| B. | 128 cm2 |
| C. | 96 cm2 |
| D. | 124 cm2 |
| Answer» C. 96 cm2 | |
| 893. |
In a trapezium, one diagonal divides the other in the ratio 2 ∶ 9. If the length of the larger of the two parallel sides is 45 cm, then what is the length (in cm) of the other parallel side? |
| A. | 10 |
| B. | 5 |
| C. | 18 |
| D. | 14 |
| Answer» B. 5 | |
| 894. |
A solid metallic cuboid of dimensions 32 cm × 36 cm × 44 cm is melted and solid balls, each of radius 12 cm are made from this material. The number of balls will be: (Take π = 22/7) |
| A. | 11 |
| B. | 9 |
| C. | 14 |
| D. | 7 |
| Answer» E. | |
| 895. |
If in a triangle, angles are in the ratio 1 : 1 : 2 and the length of its longest side is 6√2cm, then find the area (in cm2) of the triangle? |
| A. | 18√2 |
| B. | 36√2 |
| C. | 36 |
| D. | 18 |
| Answer» E. | |
| 896. |
A circular ring of radius 42 cm is cut and bent into the form of a rectangle whose sides are in the ratio of 6 : 5. The small side of the rectangle is |
| A. | 80 cm |
| B. | 30 cm |
| C. | 120 cm |
| D. | 60 cm |
| Answer» E. | |
| 897. |
Radius of hemisphere is thrice than that of a sphere. What is the ratio of total surface area of hemisphere to that of sphere? |
| A. | 27 : 8 |
| B. | 21 : 4 |
| C. | 27 : 4 |
| D. | 6 : 1 |
| Answer» D. 6 : 1 | |
| 898. |
ABC is a triangle, where ∠BAC = 90°, If BC = 10cm. What is the length of the median AD, in cm? |
| A. | 8 |
| B. | 5 |
| C. | 6 |
| D. | 4 |
| Answer» C. 6 | |
| 899. |
How many balls, each of radius 1 cm, can be made from a steel sphere whose radius is 6 cm? |
| A. | 126 |
| B. | 27 |
| C. | 64 |
| D. | 216 |
| Answer» E. | |
| 900. |
If the area of circle 'C' is equal to the area of a square 'S', then the ratio of the square of the perimeter of 'C' and the square of the perimeter of 'S' is nearly equal to |
| A. | 22 : 7 |
| B. | 11 : 14 |
| C. | 88 : 7 |
| D. | 1 : 1 |
| Answer» C. 88 : 7 | |