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.
| 901. |
In ΔABC, D and E are the midpoints of sides BC and AC, respectively, If AD = 10.8 cm, BE = 14.4 cm and AD and BE intersect at G at a right angle, then the area (in cm2) of ΔABC is: |
| A. | 103.68 |
| B. | 56.76 |
| C. | 80.64 |
| D. | 53.76 |
| Answer» B. 56.76 | |
| 902. |
A solid cube each of whose face diagonals 128√2 cm is moulded to make a cuboid. The length and the breadth of the cuboid are 512 cm and 160 cm respectively. What is the height of the cuboid? |
| A. | 16 cm |
| B. | 20.8 cm |
| C. | 25.6 cm |
| D. | 16.4 cm |
| Answer» D. 16.4 cm | |
| 903. |
Find the maximum area of a square field which is surrounded by a rope of 100 meters?A. 500 m2B. 625 m2C. 400 m2D. 100 m2 |
| A. | D |
| B. | C |
| C. | B |
| D. | A |
| Answer» D. A | |
| 904. |
Diagonals of a trapezium ABCD with AB II CD intersect each other at the point O. If AB = 2CD, then the ratio of the areas of ΔAOB and ΔCOD is |
| A. | 4 : 1 |
| B. | 1 : 16 |
| C. | 1 : 4 |
| D. | 16 : 1 |
| Answer» B. 1 : 16 | |
| 905. |
A piece of wire of length 33 cm is bent into an arc of a circle of radius 14 cm. What is the angle subtended by the arc at the centre of the circle? |
| A. | 75° |
| B. | 90° |
| C. | 135° |
| D. | 150° |
| Answer» D. 150° | |
| 906. |
Find the volume (in cm3) of a hemisphere of diameter 7 cm. |
| A. | 77 |
| B. | 63 |
| C. | 89.83 |
| D. | 54.13 |
| Answer» D. 54.13 | |
| 907. |
Find length of the arc whose central angle is 90° and radius of the circle is 3.5 cm? |
| A. | 11 cm |
| B. | 5.5 cm |
| C. | 16.5 cm |
| D. | 22 cm |
| Answer» C. 16.5 cm | |
| 908. |
A wire is in the shape of a rectangle. Its length is 42.7 m and breadth is 21.8 m. If the same wire is re-bent in the shape of a square, what will be the measure of the side of the square?A. 16.125B. 32.25C. 11.35D. 22.70 |
| A. | C |
| B. | D |
| C. | A |
| D. | B |
| Answer» E. | |
| 909. |
A rectangular parallelepiped has number of vertices p, number of edges q and number of surfaces r. Then the value of (p + q + r) is |
| A. | 26 |
| B. | 12 |
| C. | 20 |
| D. | None of the above |
| Answer» B. 12 | |
| 910. |
If the volume of a sphere is 4951 cm3, then its surface area (in cm2) is: (Taken \(\pi = \frac{{22}}{7}\)) |
| A. | 1268 |
| B. | 1386 |
| C. | 1399 |
| D. | 1427 |
| Answer» C. 1399 | |
| 911. |
Find the circumference of a circle whose diameter is 12 inches. |
| A. | 88.1876 cm |
| B. | 87.4672 cm |
| C. | 90.2348 cm |
| D. | 95.7072 cm |
| Answer» E. | |
| 912. |
A right circular cylinder of the maximum volume is cut out from a solid wooden cube. The material left is what percent of the volume (nearest to an integer) of the original cube? |
| A. | 23 |
| B. | 19 |
| C. | 28 |
| D. | 21 |
| Answer» E. | |
| 913. |
A tank is in the form of a cuboid with length 12m. If 18 kilolitre of water is removed from it, the water level goes down by 30 cm. What is the width (in m) of the tank? |
| A. | 5.5 |
| B. | 4.5 |
| C. | 4 |
| D. | 5 |
| Answer» E. | |
| 914. |
Find the volume (in cm3) of a cube of side 4.5 cm. |
| A. | 55.467 |
| B. | 14.445 |
| C. | 91.125 |
| D. | 26.465 |
| Answer» D. 26.465 | |
| 915. |
If the radius of a right circular cylinder is decreased by 10%, and the height is increased by 20%, then the percentage increase/decrease in its volume is: |
| A. | increase by 1.8% |
| B. | decrease by 1.8% |
| C. | decrease by 2.8% |
| D. | increase by 2.8% |
| Answer» D. increase by 2.8% | |
| 916. |
Find the total surface area (in cm2) of a right circular cylinder of diameter 21 cm and height 10 cm. |
| A. | 1353 |
| B. | 1287 |
| C. | 1678 |
| D. | 1728 |
| Answer» B. 1287 | |
| 917. |
A 18 m deep well with diameter 7 m is dug and the earth from digging is spread evenly to form a platform 18 m × 14 m. The height of the platform is: |
| A. | 2.6 m |
| B. | 3.05 m |
| C. | 2.75 m |
| D. | 3.2 m |
| Answer» D. 3.2 m | |
| 918. |
A circle and a square have the same perimeter. The side of the square is 22 cm. What is the area of the circle? |
| A. | 418 cm2 |
| B. | 616 cm2 |
| C. | 542 cm2 |
| D. | 624 cm2 |
| E. | 718 cm2 |
| Answer» C. 542 cm2 | |
| 919. |
If the length of the diagonal of a rectangle and half its perimeter are 11 cm and 13 cm respectively, what is its area?A. 12 square cmB. 48 square cmC. 36 square cmD. 24 square cm |
| A. | D |
| B. | A |
| C. | C |
| D. | B |
| Answer» B. A | |
| 920. |
A solid cylinder has a base of radius 14 cm and height 15 cm. 4 identical cylinders are cut from each base as shown in the given figure. Height of small cylinder is 5 cm. What is the total surface area (in cm2) of the remaining part? |
| A. | 3740 |
| B. | 3432 |
| C. | 3124 |
| D. | 2816 |
| Answer» C. 3124 | |
| 921. |
A chord of length 24 cm is at a distance of 5 cm from the centre of a circle. What is its area? |
| A. | 120 cm2 |
| B. | 480.67 cm2 |
| C. | 531.14 cm2 |
| D. | 389.28 cm2 |
| Answer» D. 389.28 cm2 | |
| 922. |
A hollow sphere of external and internal diameters 6 cm and 4 cm respectively is melted into a cone of base diameter 8 cm. What is the height of the cone? |
| A. | 4.75 cm |
| B. | 5.50 cm |
| C. | 6.25 cm |
| D. | 6.75 cm |
| Answer» B. 5.50 cm | |
| 923. |
A piece of wire, bent in the shape of a square having 44 cm as its side, is subsequently bent to form a circle. What will be the radius of the circle? |
| A. | 108 cm |
| B. | 56 cm |
| C. | 14 cm |
| D. | 28 cm |
| Answer» E. | |
| 924. |
A circular wire of diameter 77 cm is bent in the form of a rectangle whose length is 142% of its breadth. What is the area of the rectangle? (Take π = 22/7) |
| A. | 3520 sq.cm |
| B. | 3450 sq.cm |
| C. | 3550 sq.cm |
| D. | 3620 sq.cm |
| Answer» D. 3620 sq.cm | |
| 925. |
A cylinder of height 36 cm and base radius 8 cm is melted to form a sphere. Find the radius of the sphere. |
| A. | 3 cm |
| B. | 4 cm |
| C. | 8 cm |
| D. | 12 cm |
| Answer» E. | |
| 926. |
AB and CD are two parallel chords of a circle such that AB = 10 cm and CD = 24 cm. If the chords are on the opposite sides of the center and the distance between them is 17 cm, then the radius of the circle is: |
| A. | 13 cm |
| B. | 10 cm |
| C. | 15 cm |
| D. | 12 cm |
| Answer» B. 10 cm | |
| 927. |
A solid sphere of radius 11 cm is melted and recast into small solid spheres of radius 2 cm each. How many maximum number (in integer) of such spheres can be made? |
| A. | 125 |
| B. | 166 |
| C. | 100 |
| D. | 30 |
| Answer» C. 100 | |
| 928. |
ABCD is a diameter of a circle of radius 12 cm. The lengths AB, BC and CD are equal. Semi-circles are drawn on AB and BD as diameters as shown in the given figure. Find area of the shaded region. |
| A. | 48 πcm2 |
| B. | 84 πcm2 |
| C. | 24 πcm2 |
| D. | 96 πcm2 |
| Answer» B. 84 πcm2 | |
| 929. |
A rectangular mat has an area of 120 m2 and perimeter of 46 m. The length of its diagonal is |
| A. | 17 cm |
| B. | 27 m |
| C. | 17 m2 |
| D. | 17 m |
| Answer» E. | |
| 930. |
A cubic metre of copper weighting 9000 kg is rolled into a square bar 9 m long. An exact cube is cut off from the bar. How much does the cube weigh? |
| A. | 1000 kg |
| B. | 1000/3 kg |
| C. | 300 kg |
| D. | 500/3 kg |
| Answer» C. 300 kg | |
| 931. |
In a circle of radius 6 cm, arc AB makes an angle of 114° with centre of the circle O. What is angle ABO? |
| A. | 23° |
| B. | 42° |
| C. | 38° |
| D. | 33° |
| Answer» E. | |
| 932. |
If the diameter of a circle is 28 cm, then what will be its circumference (in cm)? |
| A. | 88 |
| B. | 177 |
| C. | 35 |
| D. | 70 |
| Answer» B. 177 | |
| 933. |
A wire in a shape of a circle of radius 28 cm is bent in the form of a square. What is the difference of their areas? (Take \(\pi = \frac{22}{7})\) |
| A. | 538 cm2 |
| B. | 530 cm2 |
| C. | 532 cm2 |
| D. | 528 cm2 |
| Answer» E. | |
| 934. |
A 2 m broad pathway is to be constructed around a rectangular plot on the inside. The area of the plot is 96 m². The rate of construction is Rs. 50 per m². Find the total cost of the construction. |
| A. | Rs. 4800 |
| B. | Rs. 2400 |
| C. | Rs. 4000 |
| D. | Data Inadequate |
| Answer» E. | |
| 935. |
A solid metallic sphere of radius 4 cm is melted and recast into '4' identical cubes. What is the side of the cube? |
| A. | \(7\sqrt[3]{{\frac{\pi }{3}}}\) cm |
| B. | \(5\sqrt[3]{{\frac{\pi }{3}}}\) cm |
| C. | \(6\sqrt[3]{{\frac{\pi }{3}}}\) cm |
| D. | \(4\sqrt[3]{{\frac{\pi }{3}}}\) cm |
| Answer» E. | |
| 936. |
If the length of diagonal of a cube is 4√3 cm, then its volume is - |
| A. | 32 cm3 |
| B. | 64 cm3 |
| C. | 192 cm3 |
| D. | 192√3 cm3 |
| Answer» C. 192 cm3 | |
| 937. |
A copper wire is bent in the form of an equilateral triangle of area 4√ 3 cm2 .If the same wire is bent into the form of a square, the area of the square will be: |
| A. | 16 sq.cm |
| B. | 9 sq.cm |
| C. | 144 sq.cm |
| D. | 64 sq.cm |
| Answer» C. 144 sq.cm | |
| 938. |
Given below are three quantities named 1, 2 and 3. Based on the given information, you have to determine the relation among the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. The options represent the relations among three quantities.A. C. ≤D. ≥E. =Quantity 1: There is a square field of side 4 meter. A flower bed is to be prepared in its centre, leaving a gravelled path of uniform length around the flowerbed. The cost of preparing the flowerbed and gravelling the path is Rs. 100 and Rs. 200 per square meter respectively. If the total cost is Rs. 1756 then find the double of width of gravelled path.Quantity 2: The height of a cone is 45 cm. A small cone is cut from it parallel to the base. If the ratio of volume of small cone and the remaining part is 8 : 19 then what is the height from the base from where the cone was cut?Quantity 3: A cylindrical container of radius 60 cm and height 150 cm is filled with ice cream. 10 cones of equal volume need to be prepared from the whole ice-cream. These cones has hemispherical top and the height of the conical portion is 4 times the radius of hemisphere. Find radius of the hemisphere. |
| A. | E, A |
| B. | B, E |
| C. | A, C |
| D. | B, A |
| E. | E, C |
| Answer» E. E, C | |
| 939. |
Parallel sides of a trapezium are 26 cm and 40 cm and the area is 792 cm2. What is the value of the distance (in cm) between parallel sides? |
| A. | 24 |
| B. | 48 |
| C. | 12 |
| D. | 36 |
| Answer» B. 48 | |
| 940. |
A rectangular solid is 20 cm long and 12 cm wide. If its volume is 2160 cm3, the height is∶ |
| A. | 11 cm |
| B. | 10 cm |
| C. | 12 cm |
| D. | 9 cm |
| Answer» E. | |
| 941. |
A workman wants to paint the top and bottom portions of a cylindrical object. What is the total surface area he would have to paint if it has a radius of 7 cm and a height of 10 cm? |
| A. | 100π cm2 |
| B. | 98π cm2 |
| C. | 50π cm2 |
| D. | 105π cm2 |
| Answer» C. 50π cm2 | |
| 942. |
If 3.96 cubic dm of lead is to be drawn in to a cylindrical wire of diameter 0.6 cm, then the length of the wire (in metres), is: |
| A. | 140 m |
| B. | 120 m |
| C. | 130 m |
| D. | 125 m |
| Answer» B. 120 m | |
| 943. |
In the given figure, a square has been divided into two rectangles. If the sum of the perimeters of two rectangles is 54 cm, then what is the perimeter of the square in cm? |
| A. | 40 |
| B. | 36 |
| C. | 32 |
| D. | 28 |
| Answer» C. 32 | |
| 944. |
In a triangle, if the measures of two sides are 5 cm and 8 cm, then the third side can be: |
| A. | 3 cm |
| B. | 2 cm |
| C. | 4 cm |
| D. | 14 cm |
| Answer» D. 14 cm | |
| 945. |
A field is in the shape of a trapezium whose parallel sides are 260 m and 100m. and non-parallel sides are each of length 100m. What is the area (in m2) of the field? |
| A. | 11700 |
| B. | 10800 |
| C. | 9900 |
| D. | 9000 |
| Answer» C. 9900 | |
| 946. |
If the volume of a cube is \(3\sqrt 3 {a^3}\) cubic unit, then the surface area of the cube is |
| A. | 6a2 square unit |
| B. | \(\sqrt 3 {a^2}\) square unit |
| C. | \(18\sqrt 3 {a^2}\) square unit |
| D. | 18a2 square unit |
| Answer» E. | |
| 947. |
A right triangle contains the right angle between the sides 5 cm and 7 cm. A cone is generated by revolving about the side 5 cm. The volume of this cone is: |
| A. | \(51\frac{2}{3}\pi {\:}c{m^3}\) |
| B. | \(71\frac{2}{3}\pi {\:}c{m^3}\) |
| C. | \(81\frac{2}{3}\pi {\:}c{m^3}\) |
| D. | \(61\frac{2}{3}\pi {\:}c{m^3}\) |
| Answer» D. \(61\frac{2}{3}\pi {\:}c{m^3}\) | |
| 948. |
A solid hemisphere has radius 14 cm. It is melted to form a cylinder such that the ratio of its curved surface area and total surface area is 2 : 3. What is the radius (in cm) of its base? |
| A. | \(\frac{{10}}{{\sqrt[3]{3}}}\) |
| B. | \(\frac{{14}}{{\sqrt[3]{3}}}\) |
| C. | \(\frac{7}{{\sqrt[3]{3}}}\) |
| D. | \(\frac{{21}}{{\sqrt[3]{3}}}\) |
| Answer» C. \(\frac{7}{{\sqrt[3]{3}}}\) | |
| 949. |
A rectangular sheet of card board, shown below in Fig. - 1 is 26 cm long and 16 cm broad. Squares, each of 3 cm edge, has been removed from each corner of the paper sheet. An open cuboidal tray, as shown in Fig. - 2, was made using the remaining sheet of card board. What is the volume of the open space, in cubic cm. available in the tray? |
| A. | 396 |
| B. | 496 |
| C. | 500 |
| D. | 600 |
| Answer» E. | |
| 950. |
A metal pipe of radius 21 cm and length 90 cm has an outer curved surface area: |
| A. | 11880 cm2 |
| B. | 12880 cm2 |
| C. | 11480 cm2 |
| D. | 10880 cm2 |
| Answer» B. 12880 cm2 | |