Explore topic-wise MCQs in Aptitude.

This section includes 186 Mcqs, each offering curated multiple-choice questions to sharpen your Aptitude knowledge and support exam preparation. Choose a topic below to get started.

101.

If diagonal of a cube is

A. 8
B. 12
C. 24
D. 3
E. <span style=" text-decoration: overline;">2</span>
Answer» B. 12
Discussion
102.

If the height of a given cone be doubled and radius of the base remains the same, the ratio of the volume of the given cone to that of the second cone will be

A. 2 : 1
B. 1 : 8
C. 1 : 2
D. 8 : 1
Answer» D. 8 : 1
Discussion
103.

The ratio of the volume of two cones is 2 : 3 and the ratio ofradii of their base is 1 : 2. The ratio of their height is

A. 3 : 8
B. 8 : 3
C. 4 : 3
D. 3 : 4
Answer» C. 4 : 3
Discussion
104.

Water is being pumped out through a circular pipe whose internal diameter is 7cm. If the flow of water is 12 cm per second, how many litres of water is being pumped out in one hour ?

A. 1663.2
B. 1500
C. 1747.6
D. 2000
Answer» B. 1500
Discussion
105.

In a right circular cone, the radius of its base is 7 cm and its height 24 cm. A cross-section is made through the midpoint of the height parallel to the base. The volume of the upper portion is

A. 169 cm
B.
C. 154 cm
D. 1078 cm
E. 800 cm
Answer» C. 154 cm
Discussion
106.

A cone of height 15 cm and basediameter 30 cm is carved out of a wooden sphere of radius 15 cm. The percentage of wasted wood is :

A. 75%
B. 50%
C. 40%
D. 25%
Answer» B. 50%
Discussion
107.

If the radius of the base of a cone be doubled and height is left unchanged, then ratio of the volume of new cone to that of the original cone will be :

A. 1 : 4
B. 2 : 1
C. 1 : 2
D. 4 : 1
Answer» E.
Discussion
108.

Two solid right cones of equal height and of radii r

A. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>4R </center></td></tr><tr><td style="text-align: center;">r<sub>1</sub> + r<sub>2</sub> </td></tr></table>
B. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>4R</center></td></tr><tr><td style="text-align: center;">r<sub>1</sub> + r<sub>2</sub></td></tr></table>
C. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>4R </center></td></tr><tr><td style="text-align: center;">r<sub>1</sub> + r<sub>2</sub> </td></tr></table>
D. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>R </center></td></tr><tr><td style="text-align: center;">r<sub>1</sub> + r<sub>2</sub> </td></tr></table>
Answer» D. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>R </center></td></tr><tr><td style="text-align: center;">r<sub>1</sub> + r<sub>2</sub> </td></tr></table>
Discussion
109.

The ratio of radii of two cone is 3 : 4 and the ratio of their height is 4 : 3. Then the ratio of their volume will be

A. 3 : 4
B. 4 : 3
C. 9 : 16
D. 16 : 9
Answer» B. 4 : 3
Discussion
110.

The radius of the base and height of a right circular cone are in the ratio 5 : 12. If the volume of the cone is

A. 12
B. 13
C. 15
D. 17
Answer» C. 15
Discussion
111.

If the total surface area of a cube is 96 cm , its volume is

A. 56 cm
B. 16 cm
C. 64 cm
D. 36 cm
Answer» D. 36 cm
Discussion
112.

A godown is 15 m long and 12 m broad. The sum of the area of the floor and the ceiling is equal to the sum of areas of the four walls. The volume (in m ) of the godownis:

A. 900
B. 1200
C. 1800
D. 720
Answer» C. 1800
Discussion
113.

The heights of two cones are in the ratio 1 : 3 and the diameters of their base are in the ratio 3 : 5. The ratio of their volume is

A. 3 : 25
B. 4 : 25
C. 6 : 25
D. 7 : 25
Answer» B. 4 : 25
Discussion
114.

The base of a right circular cone has the same radius a as that of a sphere. Both the sphere and the cone have the same volume. Height of the cone is

A. 3a
B. 4a
C. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>7</center></td><td rowspan="2">a</td></tr><tr><td style="text-align: center;">4</td></tr></table>
D. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>7</center></td><td rowspan="2">a</td></tr><tr><td style="text-align: center;">3</td></tr></table>
Answer» C. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>7</center></td><td rowspan="2">a</td></tr><tr><td style="text-align: center;">4</td></tr></table>
Discussion
115.

The volume of a conical tent is 1232 cu. m and the area of its base is 154 sq. m. Find the length of the canvas required to build the tent, if the canvas is 2m in width. (Take = (22/7)

A. 270 m
B. 272 m
C. 276 m
D. 275 m
Answer» E.
Discussion
116.

The perimeter of the base of a right circular cone is 8 cm. If the height of the cone is 21 cm, then its volume is:

A. 108 cm
B. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>112</center></td><td rowspan="2">cm </td></tr><tr><td style="text-align: center;"> </td></tr></table>
C. 112 cmsup3;
D. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>108</center></td><td rowspan="2">cm </td></tr><tr><td style="text-align: center;"> </td></tr></table>
Answer» C. 112 cmsup3;
Discussion
117.

If the volume of two right circular cones are in the ratio 4 : 1 and their diameter are in the ratio 5 : 4, then the ratio of their height is :

A. 25 :16
B. 25 : 64
C. 64 : 25
D. 16 : 25
Answer» D. 16 : 25
Discussion
118.

The circumference of the base of a 16cm height solid cone is 33cm. What is the volume of the cone in cm ?

A. 1028
B. 616
C. 462
D. 828
Answer» D. 828
Discussion
119.

The sum of radii of two spheres is 10 cm and the sum of their volume is 880 cm3. What will be the product of their radii ?

A. 21
B.
C. <table><tr><td rowspan="2">26</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><tr><td style="text-align: center;">3</td></tr></table>
D. <table><tr><td rowspan="2">33</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><tr><td style="text-align: center;">3</td></tr></table>
E. 70
Answer» C. <table><tr><td rowspan="2">26</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><tr><td style="text-align: center;">3</td></tr></table>
Discussion
120.

A conical flask is full of water. The flask has base radius r and height h. This water is poured into a cylindrical flask of base radius m. The height of water in the cylindrical flask is

A. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>m</center></td><td rowspan="2"></td></tr><tr><td style="text-align: center;">2h</td></tr></table>
B. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>h</center></td><td rowspan="2">m </td></tr><tr><td style="text-align: center;">2</td></tr></table>
C. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>2h</center></td><td rowspan="2"></td></tr><tr><td style="text-align: center;">m</td></tr></table>
D. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>2h</center></td><td rowspan="2"></td></tr><tr><td style="text-align: center;">m</td></tr></table>
E. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>h</center></td><td rowspan="2"></td></tr><tr><td style="text-align: center;">3m </td></tr></table>
Answer» E. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>h</center></td><td rowspan="2"></td></tr><tr><td style="text-align: center;">3m </td></tr></table>
Discussion
121.

A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their respective volume is

A. 1 : 2 : 3
B.
C. 2 : 1 : 3
D. 1 : 3 : 2
E. 3 : 1 : 2
Answer» B.
Discussion
122.

The ratio of the volume of a cube to that of a sphere, which will fit exactly inside the cube, is

A. : 6
B.
C. 6 :
D. 3 :
E. : 3
Answer» C. 6 :
Discussion
123.

If the radii of the circular ends of a truncated conical bucket which is 45cm high be 28 cm and 7 cm, then the capacity of the bucket in cubic centimetre is ( use = 22/7)

A. 48510
B. 45810
C. 48150
D. 48051
Answer» B. 45810
Discussion
124.

If a right circular cone is separated into solids of volumes V

A. 1: 2 : 3
B. 1: 4 : 6
C. 1: 6 : 9
D. 1: 7 : 19
Answer» E.
Discussion
125.

The areas of three consecutive faces of a cuboid are 12 cm , 20 cm and 15 cm2, then the volume (in cm ) of the cuboid is

A. 3600
B. 100
C. 80
D. 60
Answer» E.
Discussion
126.

The height of the cone is 30 cm. A small cone is cut off at the top by a plane parallel to its base. If its volume is 1/27 of the volume of the cone, at what height, above the base, is the section made?

A. 6 cm
B. 8 cm
C. 10 cm
D. 20 cm
Answer» E.
Discussion
127.

Volume of two cones are in the ratio 1 : 4 and their diameters are in the ratio 4 : 5. The ratio of their height is

A. 1 : 5
B. 5 : 4
C. 5 : 16
D. 25 : 64
Answer» E.
Discussion
128.

A rectangular sheet of metal is 40cm by 15cm. Equal squares of side 4cm are cut off at the corners and the remainder is folded up to form an open rectangular box. The volume of the box is

A. 896 cm
B. 986 cm
C. 600 cm
D. 916 cm
Answer» B. 986 cm
Discussion
129.

Water flows into a tank which is 200m long and 150m wide, through a pipe of cross-section 0.3m 0.2m at 20 km/hour. Then the time (in hours) for the water level in the tank to reach 8m is

A. 50
B. 120
C. 150
D. 200
Answer» E.
Discussion
130.

The area of three adjacent faces of a cuboid are x, y, z square units respectively. If the volume of the cuboid be y cubic units, then the correct relation between v, x, y, z is

A. v = xyz
B. v = xyz
C. v = x y z
D. v = x y z
Answer» B. v = xyz
Discussion
131.

A wooden box measures 20 cm by 12 cm by 10 cm. Thickness of wood is 1 cm. Volume of wood to make the box (in cubic cm) is

A. 960
B. 519
C. 2400
D. 1120
Answer» B. 519
Discussion
132.

Two iron sheets each of diameter 6 cm are immersed in the water contained in a cylindrical vessel of radius 6 cm. The level of the water in the vessel will be raised by

A. 1 cm
B. 2 cm
C. 3 cm
D. 6 cm
Answer» C. 3 cm
Discussion
133.

A right circular cylinder of height 16 cm is covered by a rectangular tin foil of size 16 cm 22 cm. The volume of the cylinder is

A. 352 cm
B. 308 cm
C. 616 cm
D. 176 cm
Answer» D. 176 cm
Discussion
134.

If the volume of a right circular cylinder is 9 h m , where h is its height (in metres) then the diameter of the base of the cylinder is equal to

A. 3 m
B. 6 m
C. 9 m
D. 12 m
Answer» C. 9 m
Discussion
135.

The volume of a right circular cylinder, 14 cm in height, is equal to that of a cube whose edge is 11 cm. (Taking = 22/7) the radius of the base of the cylinder is

A. 5.2 cm.
B. 5.5 cm.
C. 11.0 cm.
D. 22.0 cm.
Answer» C. 11.0 cm.
Discussion
136.

The curved surface area and the total surface area of a cylinder are in the ratio 1 : 2. If the total surface area of the right cylinder is 616 cm , then its volume is :

A. 1232 cm
B. 1848 cm
C. 1632 cm
D. 1078 cm
Answer» E.
Discussion
137.

The volume of a right circular cylinder whose height is 40cm, and circumference of its base is 66 cm, is :

A. 55440 cm
B. 3465 cm
C. 7720 cm
D. 13860 cm
Answer» E.
Discussion
138.

From a solid cylinder whose height is 12 cm and diameter 10cm, a conical cavity of same height and same diameter of the base is hollowed out. The volume of the remaining solid is approx imately ( = 22/7)

A. 942.86 cm
B. 314.29 cm
C. 628.57 cm
D. 450.76 cm
Answer» D. 450.76 cm
Discussion
139.

A hollow iron pipe is 21 cm long and its exterior diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm , then the weight of the pipe is (Take = 22/7)

A. 3.696 kg
B. 3.6 kg
C. 36 kg
D. 36.9 kg
Answer» B. 3.6 kg
Discussion
140.

The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m .

A. 7 : 6
B. 6 : 7
C. 3 : 7
D. 7 : 3
Answer» E.
Discussion
141.

The base radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their volumes is :

A. 27 : 20
B. 20 : 27
C. 9 : 4
D. 4 : 9
Answer» C. 9 : 4
Discussion
142.

A right triangle with sides 3 cm, 4 cm and 5 cm is rotated about the side 3 cm to form a cone, The volume of the cone so formed is

A. 16 cm
B. 12 cm
C. 15 cm
D. 20 cm
Answer» B. 12 cm
Discussion
143.

The edges of a rectangular box are in the ratio 1 : 2 : 3 and its surface area is 88 cm . The volume of the box is

A. 24 cm
B. 48 cm
C. 64 cm
D. 120 cm
Answer» C. 64 cm
Discussion
144.

A sphere is placed inside a right circular cylinder so as to touch the top, base and the lateral surface of the cylinder. If the radius of the sphere is R, the volume of the cylinder is

A. 2 R
B. 4 R
C. 8 R
D.
E. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>8</center></td><td rowspan="2"> R </td></tr><tr><td style="text-align: center;">3</td></tr></table>
Answer» B. 4 R
Discussion
145.

ABC is similar to DEF. If the ratio of similar sides is k : 1, the ratio of their areas is

A. k : 1
B.
C. 2k: 1
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>k </center></td><td rowspan="2"> : 1</td></tr><tr><td style="text-align: center;">2</td></tr></table>
E. 2k : 1
Answer» B.
Discussion
146.

The lengths of the diagonals of a rhombus are 8 cm and 6 cm. The area of rhombus is :

A. 96 cm&su2;
B. 60 cm&su2;
C.
D. 48 cm&su2;
E. 24 cm&su2;
Answer» E. 24 cm&su2;
Discussion
147.

The area of the circle with radius y is w. The difference between the areas of the bigger circle (with radius y) and that of the smaller circle (with radius x) is w . So x/y is equal to

A. <table><tr><td rowspan="2"> <span style=" text-decoration: overline;"></span>1 - </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> w'</center></td></tr><tr><td style="text-align: center;">w</td></tr></table>
B. <table><tr><td rowspan="2"> <span style=" text-decoration: overline;"></span>1 + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> w'</center></td></tr><tr><td style="text-align: center;">w</td></tr></table>
C. <table><tr><td rowspan="2"> <span style=" text-decoration: overline;"></span>1 + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>w</center> </td></tr><tr><td style="text-align: center;">w'</td></tr></table>
D. <table><tr><td rowspan="2"> <span style=" text-decoration: overline;"></span>1 + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>w</center> </td></tr><tr><td style="text-align: center;">w'</td></tr></table>
Answer» B. <table><tr><td rowspan="2"> <span style=" text-decoration: overline;"></span>1 + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> w'</center></td></tr><tr><td style="text-align: center;">w</td></tr></table>
Discussion
148.

The area of an equilateral triangle is 400

A. 120 m
B.
C. 150 m
D. 90 m
E. 135 m
Answer» B.
Discussion
149.

If the area of a rectangle be (x2 + 7x + 10) sq. cm, then one of the possible perimeter of it is

A. (4x + 14) cm
B. (2x + 14) cm
C.
D. (x + 14) cm
E. (2x + 7) cm
Answer» B. (2x + 14) cm
Discussion
150.

The perimeter of a rhombus is 40 cm. If one of the diagonals be 12cm long, what is the length of the other diagonal ?

A. 12 cm
B.
C. 136 cm
D. 16 cm
E. 44 cm
Answer» D. 16 cm
Discussion